Find X PLEASE and THANK YOU!

Find X PLEASE And THANK YOU!

Answers

Answer 1

Answer:

x = 8

Step-by-step explanation:

Look at the picture.

ΔABC and ΔACD are similar. Therefore corresponding sides are in proportion:

[tex]\dfrac{AB}{AC}=\dfrac{AC}{AD}[/tex]

We have

[tex]AB=2+6=8,\ AC=x,\ AD=2[/tex]

Substitute:

[tex]\dfrac{8}{x}=\dfrac{x}{2}[/tex]          cross multiply

[tex]x^2=(8)(2)\\\\x^2=16\to x=\sqrt{16}\\\\x=8[/tex]

Find X PLEASE And THANK YOU!

Related Questions

An air conditioning system can circulate 450 cubic feet of air per minute. How many cubic yards of air can it circulate per​ minute?

Answers

Answer:

150 yards.

Step-by-step explanation:

1 yard = 3 feet

To find how many yards 450 feet is, divide 450 by 3.

450/3 = 150

So, 150 yards. :)

The air that can circulate per​ minute will be 150 cubic yards.

What is volume?

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

A typical air conditioner can move 450 cubic feet of air per minute. It can circulate 150 cubic yards of air per minute.

Unit conversion;

1 yard = 3 feet

1 feet = 1/3  yard

Volume in the cubic yard is calculated as;

450 feet = 450/3

450 feet = 150 cubic yard

Hence, the air that can circulate per​ minute will be 150 yards.

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Name the property: 3x(4x5)=(3x4)x5

Answers

Answer:

Commutative Property because it only switched the numbers around.

Final answer:

The property represented by the equation 3x(4x5)=(3x4)x5 is the Associative Property of Multiplication, which indicates that numbers' grouping does not influence the outcome of multiplication.

Explanation:

The property represented by the equation 3x(4x5)=(3x4)x5 is called the Associative Property of Multiplication. This property states that the way in which numbers are grouped when being multiplied does not change the product. In your equation, whether you multiply 4 and 5 first (in the expression 3x(4x5)) or 3 and 4 first (in the expression (3x4)x5), the result is the same.

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WILL MARK BRAINLIEST

Answers

Answer:

The correct answer is second option

3π in²

Step-by-step explanation:

Points to remember

Area of circle = πr²

Where r is the radius of the circle

To find the area of outer ring

Here radius of large circle = 1 + 1 = 2 in and

radius of small circle = 1 in

Area of outer ring  = Area of large circle - area of small circle

 =  π2² -  π1²

 = 4π - π

 = 3π in²

The correct answer is second option

3π in²

Answer:

3pi

Step-by-step explanation:

To find the area of the outer ring, we must first find the areas of the two circles. The red circle has a diameter of 2 which means the radius is 1. So the area of the red circle is pi.

Finding the area of the whole target, the radius is 2. So the total area is 4 pi.

So the area of the outer ring is 3pi

help me help me plsss

60 points​

Answers

-75 = -8b - 7b

To solve for "b"  you must isolate it, meaning that "b" must be the only thing on the right side of the equation.

First you must combine like terms. Like terms are numbers that have matching variables OR are numbers with out variables. In this case the like terms are -8b and -7b, since they both have the variables "b" attached.

-8b + (-7b) = -15b

so...

-75 = -15b

Next, to completely isolate b, divide -15 to both sides. Since -15 is being multiplied by b, division (the opposite of multiplication) will cancel -15 out (in this case it will make -15 one) from the right side and bring it over to the left side.

-75/-15 = -15b/-15

5 = 1b

b = 5

Check:

-75 = -8(5) - 7(5)

-75 = -40 - 35

-75 = -75

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

8b is the answer to this question.

Step-by-step explanation:

URGENT please help me with this !!!

Answers

Answer:

480 mm³

Step-by-step explanation:

The volume (V) of a pyramid is

V = [tex]\frac{1}{3}[/tex] area of base × height, hence

V = [tex]\frac{1}{3}[/tex] × 96 × 15 = 32 × 15 = 480

A factory is currently running at 85% of it's original capacity, and management is considering upgrading the equipment. The upgrade will take 6 months, during which time the factory will not run at all. Once complete, the factory's output will increase to 120% of the original capacity. After how long would the upgraded factory's production match the current 85% production, or how long will it take for the factory to make up for the loss of six months? If you get stuck, try letting the factory's original output be 100 units per month.

Answers

Answer:

15 months needed

Which of the following is a solid consisting of a disc, a point not in the same
plane as the disc, and all the points between them?
A. Cone
B. Pyramid
C. Prism
D. Cube

Answers

Answer:

Cone

Step-by-step explanation:

Answer:

The answer is cone.

Step-by-step explanation:

Which of the following is a solid consisting of a disc, a point not in the same plane as the disc, and all the points between them?

The correct answer is a cone.

A cone is a solid consisting of a disc, a point not in the same plane as the disc, and all the points between them.

The disc specification is ruled out in cube and pyramid The point is ruled out in prism.

So, the answer is cone.

Simplify square root of 8y/share root of y

Answers

Answer:

[tex]2\sqrt{2}[/tex]

Step-by-step explanation:

We are required to simplify the following expression;

[tex]\frac{\sqrt{8y} }{\sqrt{y} }[/tex]

Using the properties of radicals;

[tex]\frac{\sqrt{a} }{\sqrt{b}}=\sqrt{\frac{a}{b} }[/tex]

The expression can be re-written as;

[tex]\sqrt{\frac{8y}{y}}=\sqrt{8}[/tex]

Now;

[tex]\sqrt{8}=\sqrt{4*2}=\sqrt{4}*\sqrt{2}\\ \\2\sqrt{2}[/tex]

Convert this decimal into its fractional
form, simplified completely.
0.625

Answers

Hello There!

Answer Attached In Image Below.

Have A Great Day!

Answer:

5/8

Step-by-step explanation:

0.625 as a fraction is equal to 5/8

When you place 625 over 1000 you get 5/8 when simplified:

625/1000 = 5/8


The perimeter of the scalene triangle is 60 cm. The length of the longest side is 4 times that of the shortest side.

Which statements about the possible measures of the sides are reasonable? Check all that apply.

The value of x can equal 40.
The longest side can equal 30 cm.
The shortest side can equal 7 cm.
The value of x can equal 25.
The shortest side can equal 5.

Answers

Answer:

Only option C: The shortest side can equal 7 cm.

Step-by-step explanation:

Let the length of the shortest side be x cm, then the length of the longest side is 4x cm. Let the length of the middle side be y cm. Note that

[tex]x<y<4x[/tex]

The perimeter is

[tex]x+y+4x=60\\ \\5x+y=60[/tex]

A. The value x cannot be 40 cm, because then y is negative

B. If the longest side is 30 cm long, then

[tex]4x=30\\ \\x=7.5\\ \\y=60-5\cdot 7.5=22.5[/tex]

But

[tex]x+y=7.5+22.5=30\ cm[/tex]

This means that such triangle does not exist

C. If x=7 cm, then 4x=28 cm,

[tex]y=60-5\cdot 7=25\ cm[/tex]

Since,

[tex]7+25=32>28\\ \\7+28=35>25\\ \\25+28=53>7,[/tex]

such triangle exists and this option is possible

D. If x=25 cm, then y is negative

E. If x=5 cm, then 4x=20 cm and

[tex]y=60-5\cdot 5=35\ cm[/tex]

But this triangle does not exist, because [tex]5+20<35[/tex]

The longest side of this scalene triangle with a perimeter of 60 cm can equal 30 cm or the shortest side can equal 7 cm.

Further Explanation

We can use the variables x, y and z to represent the shortest (x), medium (y) and longest (z) sides.  The perimeter of a triangle is found by adding together all of the sides; this gives us the equation

x + y + z = 60

We know that the longest side, z, is equal to 4 times the length of the shortest side, x.  This means that z = 4x; we can now write our equation as

x + y + 4x = 60

Combining like terms, we have

5x + y = 60

1.  Checking all of the possible options, we first determine if x can equal 40:

5(40) + y = 60200 + y = 60

This would give us a negative side length, which is impossible.

2.  Let the longest side be 30 cm.  This means that the shortest side is 1/4 of that; 30÷4 = 7.5.  Using 7.5 for x,

5(7.5)+y = 6037.5 + y = 6037.5 + y - 37.5 = 60-37.5y = 22.5

This is within the range of acceptable side lengths, since it is between the smallest (7.5) and the largest (30).

3.  Let the shortest side be 7 cm.  This means x = 7:

5(7)+y = 6035+y = 6035+y-35 = 60-35y = 25

This is between the longest side, 7 cm, and the longest side, 4(7) = 28 cm.  This is acceptable.

4.  Let the value of x be 25:

5(25)+y = 60125+y = 60

This will give us a negative value for the medium side, which is impossible.

5.  Let the shortest side be 5 cm.  This means x = 5:

5(5)+y = 6025+y = 6025+y-25 = 60-25y = 35

This means the medium value, 35, would be greater than the longest side, 20; this is incorrect.

This means the correct options are that the longest side can be 30 cm and the shortest side can be 7 cm.

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Keywords:  perimeter of scalene triangle, finding side lengths of scalene triangles, finding perimeter

What is the solution to the following equation?
X+(-13) = -5

Answers

The answer is -65

X+(-13)=-5

x=13*-5

13 * -5= -65

x=65

An equation is formed when two equal expressions. The solution of the equation x+(-13) = -5 is 8.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution of the equation x+(-13) = -5 is,

x + (-13) = -5

x - 13 = -5

x = -5 + 13

x = 8

Hence, The solution of the equation x+(-13) = -5 is 8.

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Using the horizontal line test, which of the following can be concluded about the inverse of the graph of the function below?

Answers

Answer:

b. it is not a function. it's not a function because I'm does not pass the horizontal lines test

Answer:

The correct option is B.

Step-by-step explanation:

Vertical line test: A vertical line intersects a function's graph at most once.

Horizontal line test: A horizontal line intersects a function's graph at most once.

If a graph passes the vertical line test, then it represents a function.

If a graph passes the horizontal line test, then its inverse is a function.

Check whether the given graph passes horizontal line test or not.

Let x-axis or y=0 be a horizontal line. The curve intersect x-axis at (-2,0) and (2,0).

Since the graph of the function intersect a horizontal line more than one time, therefore it does not passes the horizontal line test and inverse of the given function is not a function.

Hence the correct option is B.

Which equation represents a line that passes through (–9, –3) and has a slope of –6?

y – 9 = –6(x – 3)

y + 9 = –6(x + 3)

y – 3 = –6(x – 9)

y + 3 = –6(x + 9)

Answers

Hello!

The answer is:

The last equation,

[tex]y+3=-6(x+9)[/tex]

Why?

To find which of the given equations represents a line that passes through the point (-9,-3) and has a slope of -6, we need to find an equation that can be satisfied by evaluating the given point.

We can see that the only equation that can be satisfied evaluating the point (-9,-3) is the last equation:

[tex]y+3=-6(x+9)[/tex]

Evaluating the point, we have:

[tex]-3+3=-6*(-9+9)[/tex]

[tex]0=-6*(0)[/tex]

[tex]0=0[/tex]

We can see that the equation is satisfied!

Also, we can see that evaluating the point into the other equations, they will not be satisfied.

Let's prove that:

Evaluating:

First equation:

[tex]y-9=-6(x-3)\\-3-9=-6*(-9-3)\\-12=-6*(-12)=72[/tex]

The equation is not satisfied.

Second equation:

[tex]y+9=-6(x+3)\\-3+9=-6*(-9+3)\\6=-6*(-6)=36[/tex]

The equation is not satisfied.

Third equation:

[tex]y-3=-6(x-9)[/tex]

[tex]-3-3=-6(-9-9)[/tex]

[tex]-6=-6(-18)=108[/tex]

The equation is not satisfied.

Hence, the correct option is the last option, the equation that represents a line that passes through (–9, –3) and has a slope of –6 is the last equation:

[tex]y+3=-6(x+9)[/tex]

Have a nice day!

Note: I have attached a picture for better understanding.

Answer: D. y + 3 = –6(x + 9)

Step-by-step explanation:

Is it possible for two different numbers, when
squared, to give the same result? What does this
result tell you about solving an equation when the
variable is squared? How many solutions will an
equation like this have? Will there always be the
same number of solutions for any equation with a
squared variable? Explain.

Answers

Answer:

yes it is possible for two different numbers to eventually have the same result

Step-by-step explanation:

its basically like saying five times 2 which is 10 and 2 times 5 which is also 10 its different numbers but same outcome

Answer:

Yes. Squared variables usually have two solutions, unless they are 0 (1 solution) or negative (no solution).

Step-by-step explanation:

Solving the generic x² = c has two solutions when c>0, one solution when c=0, and no (real) solutions for c<0.

When c>0, the solutions are x = √c and x= -√c.

Dominique ran 40 minutes on Saturday, 1 hour 20 minutes on Monday, and 2 hours on Wednesday. Use the sequence to predict how long Dominique will run on Friday. a. 2 hours 20 minutes c. 3 hours 20 minutes b. 2 hours 40 minutes d. 3 hours

Answers

D because each day he runs for 40 more minutes. To explain, if you add 40 minutes to 40 minutes, you get 80 minutes, or 1 hour and 20 minutes. Then if you add 40 minutes to 1 hour and 20 minutes you get 1 hour and 60 minutes, or 2 hours. Continuing this process, the next logical answer would be 2 hours and 40 minutes.

Answer:

a. 2 hours

Step-by-step explanation:

All you have to do is find the median between 40 minutes on Saturday, 1 hour 20 minutes on Monday, and 2 hours on Wednesday.

The median is 2. Therefore 2 hours is the answer.

Hope this helps!

10 In(100x) – 3 = 117​

Answers

Final answer:

To solve the equation 10 ln(100x) - 3 = 117, first isolate the ln(100x) by adding 3 to both sides and then divide by 10. Exponentiate both sides with base e to remove the ln, and finally divide by 100 to solve for x.

Explanation:Solve the logarithmic equation

We are given the equation 10 ln(100x) – 3 = 117. To solve for x, follow these steps:

Add 3 to both sides of the equation to isolate the logarithmic expression.

10 ln(100x) = 120

Divide both sides by 10 to isolate ln(100x).

ln(100x) = 12

To remove the natural log, we exponentiate both sides with base e.

100x = e^12

Divide both sides by 100 to solve for x.

x = (e^12) / 100

Now, by using a calculator we can find the value of e^12 and then divide it by 100 to find the value of x.

Final answer is:  x = 1627.54

Miriam has a jar of one dollar bills, dimes, and pennies in her closet. If she has a total of 963 cents, which combination
would be less money than she has?

A.9 one dollar bills, 50 dimes, and 1 penny.
B.900 one dollar bills, 3 dimes, and 8 pennies
C.9 one dollar bills, 5 dimes, and 6 pennies
D.900 one dollar bills, 60 dimes, and 2 pennies

Answers

Final answer:

The combination that represents less money than Miriam has (963 cents) is option C, which has a total of 956 cents.

Explanation:

First, let's remember the conversion of dollars, dimes, and pennies into cents. One dollar is equivalent to 100 cents, a dime is equal to 10 cents and a penny is one cent. So to solve the problem, we convert all the options into cents and find out which combination is less than 963 cents.

1. Option A: (9*100 cents) + (50*10 cents) + (1*1 cent) = 900 + 500 + 1 = 1401 cents

2. Option B: (900*100 cents) + (3*10 cents) + (8*1 cent) = 90000 + 30 + 8 = 90038 cents

3. Option C: (9*100 cents) + (5*10 cents) + (6*1 cent) = 900 + 50 + 6 = 956 cents

4. Option D: (900*100 cents) + (60*10 cents) + (2*1 cent) = 90000 + 600 + 2 = 90602 cents

Among all the options, option C is the only combination that is less than 963 cents.

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Two lines, A and B, are represented by the following equations: Line A: 4x + 4y = 16 Line B: x + y = 4 Which statement is true about the solution to the set of equations?

Answers

Answer:

The set of equations has an infinite number of solutions

Step-by-step explanation:

The system of linear equations represented by the following equations:

Line A: 4x + 4y = 16 and Line B: x + y = 4 are dependent.

This is because both equations represent the same line;

if we divide both sides of the equation of line A by 4, we would obtain

x + y = 4, which is basically the equation of line B

If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.

The value of a collector’s item is expected to increase exponentially each year. The item is purchased for $500. After 2 years, the item is worth $551.25. Which equation represents y, the value of the item after x years?

1. y = 500(0.05)x
2. y = 500(1.05)x
3. y = 500(0.1025)x
4. y = 500(1.1025)x

Answers

Answer:

Option 2 is correct.

Step-by-step explanation:

Actual price = $500

After 2 years the worth of item is increased to = $551.25

We need to find the equation that represents y, the value of the item after x years.

According to given information the equation can be of form

[tex]y=500(r)^x[/tex]

where r represents the growth and x represents the number of yeras.

We need to find the value of r that represents the growth

The value of y = 551.25, and value of x = 2

Putting values and solving:

[tex]y=500(r)^x\\551.25 = 500(r)^2\\551.25/500 =(r)^2\\1.1025 = (r)^2\\Taking square root on both sides\\\\\sqrt{1.1025}=\sqrt{(r)^2}\\  => (r) = 1.05\\[/tex]

Putting value of r in the equation

[tex]y=500(r)^x[/tex]

[tex]y=500(1.05)^x[/tex]

So Option 2 is correct.

f(x)=3x^7, as x ---> - infinity the F(x) approaches what

Answers

Answer:

negative infinity

Step-by-step explanation:

f(x) = 3 x^7

As x approaches - infinity we do not care about the 3 since it is positive

f(-inf) = (- inf)^7

We can take the negative out since it is to a negative power

f(-inf) = - (inf)^7

inf raised to a power is still infinity

F(-inf) = - inf

It will approach negative infinity

Point R divides PO in the ratio 1:3. If the x-coordinate of R is -1 and the x-coordinate of P is-3, what is the x-coordinate of Q?

Answers

Answer:

The x-coordinate of Q is 5

Step-by-step explanation:

* Lets revise the division of the line segment

- If point (x , y) divides a line segment internally whose endpoints are

 (x1 , y1) and (x2 , y2) at the ratio m1 : m2 from (x1 , y1), then:

# [tex]x=\frac{m_{2}x_{1}+m_{1}x_{2}}{m_{1}+m_{2}}[/tex]

# [tex]y=\frac{m_{2}y_{1}+m_{1}y_{2}}{m_{1}+m_{2}}[/tex]

* Lets solve the problem

∵ Point R divides PQ in the ratio 1 : 3

∴ R is (x , y)

∴ P is (x1 , y1) and Q is (x2 , y2)

∴ m1 = 1 and m2 = 3

∵ x-coordinate of R is -1 and the x-coordinate of P is -3

∴ x = -1

∴ x1 = -3

- Use the rule above

∵ [tex]-1=\frac{(3)(-3)+(1)(x_{2})}{1+3}=\frac{-9+x_{2}}{4}[/tex]

- By cross multiplication

∴ (-1) (4) = -9 + x2

∴ -4 = -9 + x2 ⇒ add 9 to both sides

∴ 5 = x2

* The x-coordinate of Q is 5

the x-coordinate of point O is -2.5.

The question deals with dividing a line segment in a given ratio and finding the coordinates of a point. We are told that point R divides line segment PO in the ratio 1:3, the x-coordinate of R is -1, and the x-coordinate of P is -3. We are asked to find the x-coordinate of point Q, presumably typo for O.

Using the section formula, which states that the coordinates of a point dividing a line segment in the ratio m:n can be calculated using the formula (mx2 + nx1) / (m + n) for x-coordinate, here we have m = 1, n = 3, x1 (P's x-coordinate) = -3, and R's x-coordinate = -1. So, we can calculate the x-coordinate of point O (Q seems to be a typo in the question) as follows:

(1×(-1) + 3×(-3)) / (1 + 3) = (-1 - 9) / 4 = -10 / 4 = -2.5

Therefore, the x-coordinate of point O is -2.5.

The two-way table shows the number of books of each type in Eliza's home ​what is the probability that a randomly selected reference book is hard cover

Answers

Answer:

B. 0.4

Step-by-step explanation:

Use the definition of the probability

[tex]Pr=\dfrac{\text{Number of all favorable outcomes}}{\text{Number of all possible outcomes}}[/tex]

You have to find the probability that a randomly selected reference book is hard cover. Hence, from the table

Number of all possible outcomes = Number of Reference books = 25Number of all favorable outcomes = Number of Hardcover Reference books = 10

So, the probability is

[tex]Pr=\dfrac{10}{25}=\dfrac{40}{100}=0.4[/tex]

Answer:

Hence, the probability that a randomly selected reference book is a hardcover is:

                             0.4

Step-by-step explanation:

Let A denote the event that the book selected is a reference book.

and B denote the event that the book  is hardcover.

Let P denote the probability of an event.

We are asked to find:

                  P(B|A)

We know that:

[tex]P(B|A)=\dfrac{P(A\bigcap B)}{P(A)}[/tex]

From the table we have:

[tex]P(A)=\dfrac{25}{60}=\dfrac{5}{12}[/tex]

and

[tex]P(A\bigcap B)=\dfrac{10}{60}=\dfrac{1}{6}[/tex]

Hence, we have:

[tex]P(B|A)=\dfrac{\dfrac{1}{6}}{\dfrac{5}{12}}\\\\\\P(B|A)=\dfrac{2}{5}\\\\\\P(B|A)=0.4[/tex]

           Hence, the answer is:

                 0.4

42 base x +53base x = 125base x. what
is the value of x​

Answers

Answer:

x = 7

Step-by-step explanation:

The largest number is 5. Therefore x ≥ 6.

Convert numbers from x system to decimal system:

[tex]42_x=4x+2\\\\53_x=5x+3\\\\125_x=1x^2+2x+5[/tex]

Solve the equation for x:

[tex]42_x+53_x=125_x\Rightarrow4x+2+5x+3=x^2+2x+5\qquad\text{combine like terms}\\\\(4x+5x)+(2+3)=x^2+2x+5\\\\9x+5=x^2+2x+5\qquad\text{subtract 5 from both sides}\\\\9x=x^2+2x\qquad\text{subtract}\ 9x\ \text{from both sides}\\\\0=x^2-7x\\\\x^2-7x=0\qquad\text{distributive}\\\\x(x-7)=0\iff x=0\ \vee\ x-7=0\\\\x=0<7\qquad\bold{it's\ not\ a\ solution}\\\\x-7=0\qquad\text{add 7 to both sides}\\\\x=7\qquad\bold{it's\ a\ solution}[/tex]

Graph g(x), where f(x)=2x-5 and g(x)=f(x+1)

Answers

Answer:

Graph g(x) = 2x - 3

Step-by-step explanation:

Plug in (x+1) to f(x) = 2x - 5:

g(x) = 2(x+1) - 5 = 2x + 2 - 5

g(x) = 2x - 3

Answer:

Refer the attached figure.

Step-by-step explanation:

Given : Functions [tex]f(x)=2x-5[/tex] and [tex]g(x)=f(x+1)[/tex]

To find : Graph g(x)?

Solution :

First we find the function g(x),

As  [tex]g(x)=f(x+1)[/tex]

Finding f(x+1) by substituting x=x+1 in f(x)

[tex]f(x+1)=2(x+1)-5[/tex]      

[tex]f(x+1)=2x+2-5[/tex]  

[tex]f(x+1)=2x-3[/tex]          

Substitute in g(x),

[tex]g(x)=2x-3[/tex]

Now, To plot the g(x) we find the x-intercept and y-intercept

x-intercept, g(x)=0

[tex]2x-3=0[/tex]

[tex]x=\frac{3}{2}[/tex]

y-intercept, x=0

[tex]g(x)=2(0)-3[/tex]

[tex]g(x)=-3[/tex]

Plotting these two points draw the graph,

Refer the attached figure below.

The measure of A is 20° greater than the measure of B. The two angles are complementary. Find the measure of each angle.

The m A is ° and m B is °.

Answers

Answer: The m∠A is 55° and m∠B is 35°. Hope this helps

Step-by-step explanation:

Step 1: m∠A + m∠B = 90°

Step 2: m∠A + (m∠A − 20°) = 90°

Step 3: m∠A + (m∠A − 20°) = 90°

+20° = +20° Add 20° to both sides.

m∠A + m∠A = 110°

2(m∠A) = 110° Divide both sides by 2.

m∠A = 55°

Step 4: m∠A + m∠B = 90°

55° + m∠B = 90° Substitute 55° for m∠A.

m∠B = 35°

The measures of two complementary angles where one is 20° greater than the other, we set up equations based on the sum of their measures being 90°. Solving these equations, we find that the measure of angle A is 55° and the measure of angle B is 35°.

The measures of two complementary angles, where the measure of angle A is 20° greater than the measure of angle B. To find these measures, we can set up the following equations based on the properties of complementary angles:

Let m B be the measure of angle B.

Therefore, m A will be m B + 20° because it's given that angle A is 20° greater than angle B.

Since angles A and B are complementary, their measures must add up to 90°, hence m A + m B = 90°.

Substitute m A = m B + 20° into the equation m A + m B = 90° to get (m B + 20°) + m B = 90°.

Combine like terms to form 2m B + 20° = 90°.

Solve for m B by subtracting 20° from both sides to get 2m B = 70°.

Divide both sides by 2 to find m B = 35°.

Substitute m B = 35° into m A = m B + 20° to find m A = 35° + 20° = 55°.

Therefore, the measure of angle A is 55° and the measure of angle B is 35°.

What is the length of diameter EF?
3
6
9

Answers

Answer:

6

Step-by-step explanation:

You are given the radius, 3

The diameter is twice the radius, so 6.

That would be 6. Diameter=2r

the number 3.453 has two 3s.Why does each 3 have a different value​

Answers

Hello There!

They're in different places the 3 in the ones place couldn't equal as much as the three in the thousands place. It all depends on where the numbers are in relation to the decimal.

Help a A young black man pls

Answers

Answer:

27

Step-by-step explanation:

Evaluate the [tex]\sqrt[4]{81}[/tex] = 3

Since [tex]3^{4}[/tex] = 81

We are noe left to evaluate (3)³ = 27

Carla is cutting pieces of string that are exactly 24 3/8 inches long. How many pieces can she cut from a ball of string that’s is 100 feet?

Answers

It can go into 100 feet 4 times. After you add four times you should have 97 and 4/8 or 97 and 1/2

Answer:  She can cut 49 pieces from the ball of string that’s is 100 feet.

Step-by-step explanation:  Given that Carla is cutting pieces of string that are exactly [tex]24\dfrac{3}{8}[/tex] inches long.

We are to find the number of pieces that she can cut from a ball of string with weight 100 feet.

We know that

1 feet = 12 inches.

So, 100 feet = 1200 inches.

Also, [tex]24\dfrac{3}{8}=\dfrac{195}{8}.[/tex]

Now, the number of pieces with length [tex]\dfrac{195}{8}[/tex] inches = 1.

So, the number of pieces with length 1 inch will be

[tex]\dfrac{1}{\frac{195}{8}}=\dfrac{8}{195}.[/tex]

Therefore, the number of pieces that can be cut from 1200 inches is given by

[tex]\dfrac{8}{195}\times1200=49.23.[/tex]

Thus, she can cut 49 pieces from the ball of string that’s is 100 feet.

Step by step If C(m)=0.50m + 30 represents the cost of renting a car, how many miles were driven if the cost is $130

Answers

Answer:

200 miles were driven

Step-by-step explanation:

We know that [tex]C (m) = 0.50m + 30[/tex] represents the cost of renting a car

Where m represents the number of miles driven

If we know that the cost was $ 130 then we can equal C(m) to 130 and solve for m.

[tex]C(m) =0.50m + 30=130[/tex]

[tex]0.50m + 30=130[/tex]

[tex]0.50m=130-30[/tex]

[tex]0.50m=100[/tex]

[tex]m=\frac{100}{0.50}[/tex]

[tex]m=200\ miles[/tex]

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