Virginia drew the figure at the right on the board. The steps below are used to solve for the unknown angle, x, in the figure but are not arranged in the correct order.

1·) x= 15

2.) 75 + 15= 90

3,) 75+x= 90

4,) 75-75 + x = 90-75

Which sequence shows the correct order of the steps Virginia should follow to find the measure of the unknown


A 1234

B 3412

C 4213

D 2314

Virginia Drew The Figure At The Right On The Board. The Steps Below Are Used To Solve For The Unknown

Answers

Answer 1

Answer:

Option B 3412

Step-by-step explanation:

we know that

step 1

75°+x=90° -----> by complementary angles

step 2

Solve for x

Subtract 75 both sides

75°-75°+x=90°-75°

step 3

x=15°

step 4

Verify

Substitute the value of x in the equation of the step 1

75°+15°=90°

90°=90° ----> is correct

therefore

The correct order is

3-4-1-2


Related Questions

5,5,5,7,7 mean median mode range

Answers

[tex]\text{Hey there!}[/tex]

[tex]\text{The mean is when you add up ALL your numbers then divide by the number}[/tex] [tex]\text{of numbers in the equation}[/tex]

[tex]\text{5+5+5+7+7=15+14=29}[/tex]

[tex]\text{We have 5 terms in this equation so divided 29 from 5}[/tex]

[tex]\bf{29\div5=5.8}[/tex]

[tex]\boxed{\text{Mean: 5.8}}\checkmark[/tex]

[tex]\text{Median is the middle number of the set of numbers}[/tex]

[tex]\boxed{\text{Median: 5}}\checkmark[/tex]

[tex]\text{Mode is when you see a number MORE THAN ONCE}[/tex]

[tex]\text{You see 5 three times but the 7 twice, so this will make it tricky to answer}[/tex]

[tex]\text{Since, you see 5 three times.. it could be your mode}[/tex]

[tex]\boxed{\text{Mode: 5}}\checkmark[/tex]

[tex]\text{Range is when subtract the HIGHEST NUMBER from the LOWEST NUMBER}[/tex]

[tex]\text{7-5=2}[/tex]

[tex]\boxed{\text{Range: 2}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Darwin bought 5 boxes of corned beef.a box contains one and a half dozen cans of corned beef.if he sold all the corned beef at 45.00 pesos each, how much did he earn....please answer with solution of AGONSA​

Answers

Hello!

The answer is:

Darwin earned 4050 pesos

Why?

To solve the problem, first, we need to calculate the total quantity of corned beef, and then, calculate the total earning amount.

We have a box of corned beef one and half dozen cans, or 1.5 zones.

So, calculating we have:

[tex]TotalBeef=Dozen*1.5=12*1.5=18[/tex]

We have that there are 18 cans of corned beef per box, now, if he sold all the 5 boxes of corned in 45.00 pesos each, we have:

[tex]TotalEarning=Cans*45.00(pesos)=18*5*45.00pesos=4050(pesos)[/tex]

Hence, we have that Darwin earned 4050 pesos.

Have a nice day!

A rectangle has a perimeter of 24 inches. If the width is 5 more than twice the length,
what are the dimensions of the rectangle?

Answers

Answer:

Step-by-step explanation:width is 11 length is 13

What is The value of -8/15 · 20/64

Answers

Answer:

[tex] - \frac{8}{15} \times \frac{20}{64} = - \frac{8}{15} \times \frac{5}{16} = - \frac{1}{6} [/tex]

PLEASE HELP ME !!!! 10PTS

Answers

The description is very simple: Incorrectly solved.

More specifically at step 2 the subtraction of 3.8 should have been on both sides.

[tex]

x+3.8=2.3 \\

x+3.8-3.8=2.3-3.8 \\

\boxed{x=-1.5}

[/tex]

Hope this helps.

r3t40

Answer:

He or she did not properly use the subtraction property of equality. On the right side in the second step of the equation, he or she added 3.8. The correct method to solve for x is by subtracting 3.8 on both sides. Therefore, the answer should be x = -1.5 because 2.3 - 3.8 = -1.5.


Terrence buys a new car for $20,000. The value of the car depreciates by 15% each year. If f(x) represents the value of the car
after x years, which function represents the car's value?
f(x) = 20,000(0.85)*
f(x) = 20,000(0.15)*
f(x) = 20,000(1.15)
f(x) = 20,000(1.85)

Answers

Answer:

f(x) = 20,000(0.85)*

Step-by-step explanation:

Answer: [tex]f(x)=20,000(0.85)^x[/tex]

Step-by-step explanation:

We know that the exponential decay (depreciation) equation with rate of decay r in time period x is given by :-

[tex]f(x)=A(1-r)^x[/tex], A is the initial value .

Given: The initial value of truck = $20,000

Rate of depreciation= 15% = 0.15

Now, the function represents the car's value after x years is given by ;-

[tex]f(x)=20,000(1-0.15)^x\\\\\Rightarrow\ f(x)=20,000(0.85)^x[/tex]

when you start from a given set of rules and conditions and determine what must be true, you are using__ reasoning.

Answers

Answer:

deductive

Step-by-step explanation:

Gavin is analyzing the success of a newly launched game app. The game takes place on an island that's been overrun with zombies. When a player is on level one of the game, the population of zombies is 50,000. Each time the player advances to a new level, that population grows at a rate of 5%. Answer the questions that follow to continue Gavin’s analysis.

Answers

Final answer:

Gavin's analysis of a game's zombie population growth involves understanding the concept of exponential growth, characterized by a fixed percentage increase over time, and the eventual transition to logistic growth as resources become limited.

Explanation:

The scenario presented involves an analysis of exponential growth, which is a typical mathematical concept found within algebra and applied mathematics.

Gavin's analysis of the game app, which features a starting zombie population of 50,000 that grows at a rate of 5% per level, allows us to examine how the population changes as players advance through the levels.

Exponential growth is characterized by a constant rate of growth applied to a continuously growing base over time.

In the case of the example town mentioned, we learn that exponential growth can lead to doubling populations and that the rule of 70 is a shortcut to estimate the number of years required for a population to double at a constant growth rate.

Specifically, if the town's population doubles every 10 years, this implies a growth rate of approximately 7% per year since 70 divided by the growth rate (7) equals the doubling time (10 years).

However, such unchecked exponential growth will eventually transition to logistic growth, especially when resources become limited, thus limiting the population size to a maximum capacity, known as carrying capacity.

In biology, this logistic growth curve begins with an exponential phase, followed by a slowdown, and eventually levels off at the carrying capacity.

Final answer:

The subject of this question is Mathematics and the grade is High School. Gavin is analyzing the success of a newly launched game app. The game takes place on an island that's been overrun with zombies. Each time a player advances to a new level, the population of zombies grows at a rate of 5%.

Explanation:

The subject of this question is Mathematics and the grade is High School.

In this question, Gavin is analyzing the success of a newly launched game app. The game takes place on an island that's been overrun with zombies. When a player is on level one of the game, the population of zombies is 50,000. Each time the player advances to a new level, that population grows at a rate of 5%.

To calculate the population of zombies at each level, we can use the formula:

The population of zombies at level one: 50,000The population of zombies at level two: 50,000 x 1.05 = 52,500The population of zombies at level three: 52,500 x 1.05 = 55,125And so on...

By using this exponential growth formula, Gavin can analyze the growth of the zombie population as players advance through the levels of the game.

Suppose a point at (2, 3) is translated to 7, -1). Which rule describes this translation?
O translate right 5, down 4
O translate left 5, up 4
O translate right 9, down 2
translate left 9, up 2

Answers

Answer:

translate right 5, down 4translate right 5, down 4

Step-by-step explanation:

translate right 5, down 4:  Note that the x-coordinate 2 becomes 7, and that the y-coordinate 3 becomes -1.

Answer:

From (2,3) translate 5 to the right and 4 down to get (7,-1).

Step-by-step explanation:

(x,y)→(x+5,y−4)

(2,3)→(2+5,3−4)

(2,3)→(7,-1)

Hope this helps :)

*Pls mark my answer Brainliest*

Factor the following expression.
27y3 – 343

a. (3y + 7)(9y2 + 2ly + 49)
b. (3y – 7)(9y2 + 2ly + 49)
c. (3y – 7)(932 – 217 + 49)
D. (3y + 7)(92 – 2ly + 49)

Answers

Answer:

b

Step-by-step explanation:

use formula of a^3-b^3

Answer:

D

Step-by-step explanation:

(3y - 7) (9y^2 + 21y + 49)

let me know if it's right

#platolivesmatter

What are possible outcome of a spin of the spinner

Answers

Answer:

Step-by-step explanation:

it would depend on how many numbers are on the spinner like if their is 6 numbers on the spinner and if your trying to get a 4 then it would be 1/6.

Hope my answer has helped you!

3 pipes take 60 minutes to water the field. How much time will it take to water the field with 6 pipes? Is this direct proportion or inverse proportion and why? Full working out and equation please.​

Answers

Answer:

30 minutes.

Step-by-step explanation:

The more pipes you have the less time it takes to water the field.

This is inverse proportion.

t  varies as 1 / p

t = k/p

Inserting the given values:

60 = k/3

so k = 180.

and the equation of variation is

t = 180 / p.

When the number of pipes = 6 the time

= t = 180 /6

= 30 minutes.

Please Answer!!! how do the graphs of (x) = x^2 and g (x)= 3/4 x^2? relate?
a. the graph of g(x) is the graph of f(x) compressed horizontally by a factor of 3/4
b. the graph of g(x) is the graph of f(x) compressed vertically by a factor of 3/4
c. the graph of g(x) is the graph of f(x) compressed vertically by a factor of 4/3
d. the graph of g(x) is the graph of f(x) compressed horizontally by a factor of 4/3

Answers

C bc it has the most sense

Answer:

The correct option is B.

Step-by-step explanation:

The given functions are

[tex]f(x)=x^2[/tex]

[tex]g(x)=\frac{3}{4}x^2[/tex]

It can be written as

[tex]g(x)=\frac{3}{4}f(x)[/tex]                  .... (1)

The vertical stretch and compression is defined as

[tex]g(x)=kf(x)[/tex]                  .... (2)

If k>1, then it represents vertical stretch by factor a.

If 0<k<1, then it represents vertical compression by factor a.

From (1) and (2), we get

[tex]k=\frac{3}{4}[/tex]

Since k<1, therefore he graph of g(x) is the graph of f(x) compressed vertically by a factor of 3/4.

Hence the correct option is B.

Find the zeros of the function.

f(x) = 9x^2 + 6x - 8

Answers

Answer:

[tex]\large\boxed{-\dfrac{4}{3}\ and\ \dfrac{2}{3}}[/tex]

Step-by-step explanation:

[tex]f(x)=9x^2+6x-8\\\\\text{The zeros:}\\\\9x^2+6x-8=0\\\\9x^2+12x-6x-8=0\\\\3x(3x+4)-2(3x+4)=0\\\\(3x+4)(3x-2)=0\iff3x+4=0\ \vee\ 3x-2=0\\\\3x+4=0\qquad\text{subtract 4 from both sides}\\3x=-4\qquad\text{divide both sides by 3}\\\boxed{x=-\dfrac{4}{3}}\\\\3x-2=0\qquad\text{add 2 to both sides}\\3x=2\qquad\text{divide both sides by 3}\\\boxed{x=\dfrac{2}{3}}[/tex]

30% of what equals 60​

Answers

Create an inequality
x/60 = 30/100
x = 200
CHECK ANSWER: 200 x .30 = 60

Answer:

30% of 200 equals 60.

Step-by-step explanation:

There is a formula we use to this specific type of problem. It's called the rule of 3.

30% - 60

100% - x

(60 * 100) / 30 =

6000 / 30 =

200

Step-by-step proof:

To prove our answer, what me must do is use another formula:

(200 * 30) / 100 = 60

6000 / 100 = 60

60 = 60

↑ Both numbers are equal (equation is true), therefore, our solution is correct.

Hope it helped,

BiologiaMagister

PLEASE HELP ME . how can the converse of the Pythagorean theorem help you determine whether the roped off area is in the shape of a right triangle?

Answers

Step-by-step explanation:

From the Pythagorean theorem we have:

[tex]a^2+b^2=c^2[/tex]           subtract b² from both sides

[tex]a^2=c^2-b^2\to a=\sqrt{c^2-b^2}[/tex]

Same:

[tex]b=\sqrt{c^2-a^2}[/tex]

What is the solution set of the quadratic inequality x2- 5<0?
O {xl-55x55
{x- 155x55)
{xl -55x5 15)
{x1 - 15 sx5/5)​

Answers

Answer:

{[tex]x| -\sqrt{5} <x <\sqrt{5}[/tex]}

Step-by-step explanation:

We must solve the following inequality

[tex]x^2- 5<0[/tex]

factor the expression

[tex](x-\sqrt{5})(x+\sqrt{5})<0[/tex]

Case 1

[tex](x-\sqrt{5}) < 0[/tex] →  [tex]x < \sqrt{5}[/tex]

[tex](x+\sqrt{5}) >0[/tex]  → [tex]x > -\sqrt{5}[/tex]

{[tex]x| -\sqrt{5} <x <\sqrt{5}[/tex]}

Case 2

[tex](x-\sqrt{5}) > 0[/tex] →  [tex]x > \sqrt{5}[/tex]

[tex](x+\sqrt{5}) <0[/tex]  → [tex]x < -\sqrt{5}[/tex]

Without solution

The set  solution is {[tex]x| -\sqrt{5} <x <\sqrt{5}[/tex]}

Final answer:

The solution set of the quadratic inequality x^2 - 5 < 0 is {x | -√5 < x < √5}, representing all x-values between -√5 and √5.

Explanation:

The quadratic inequality in question is x² - 5 < 0. To find the solution set, follow these steps:

Add 5 to both sides of the inequality to get x² < 5.Take the square root of both sides, keeping in mind we need to consider both the positive and negative roots, which lead to x < √5 and x > -√5.The solution set includes all x values between -√5 and √5, which can be written as {x | -√5 < x < √5}.

Graphically, this represents the x-values for which the curve of y = x² is below the line y = 5.

What is the equation, in point-slope form, of the line that is
perpendicular to the given line and passes through the
point (-4, -3)?

Answers

Answer:

Step-by-step explanation:

There is no given equation, so it is impossible to figure this out. I apologize.

Answer: I was told the third option

Step-by-step explanation:

A hiking trail is 6 miles long. It has 4
exercise stations, spaced evenly along the
trail. What is the distance between each
exercise station?

Answers

Answer:

8800 ft apart

Step-by-step explanation:

1). Convert miles to feet.  6 2/3 x 5280 = 35200

2). Divide by 4.  35200/4 = 8800

Help please :( ASAP don’t do wrong answers

Answers

Answer:

D. 140

Step-by-step explanation:

volume equals length times width times height 7 times 4 times 5 equals 140 good luck

Help me please!!
A watering can dispenses water at the rate of 0.3 gallon per minute. The original volume of water in the can was 7 gallons. Which set of ordered pairs shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after the can starts dispensing water?

{(1, 6.7), (2, 6.4), (3, 6.1)}
{(1, 7.0), (2, 6.7), (3, 6.4)}
{(6.7, 1), (6.4, 2), (6.1, 3)}
{(7.0, 1), (6.7, 2), (6.4, 3)}

Answers

Answer:

{(1, 6.7) , (2, 6.4) , (3, 6.1)}

Step-by-step explanation:

A watering can dispenses water at the rate of 0.3 gallon per minute.

The original volume of water in the can was 7 gallons.

If you plot a graph of volume of water in the can (gallons) against time (minutes),

The set of points on the graph will be:

After 1 minute: (1, 7 - 0.3) = (1, 6,7)

After 2 minutes: (2, 7 - 0.6) = (2, 6.4)

After 3 minutes: (3, 7 - 0.9) = (3, 6.1)

i.e the set {(1, 6.7) , (2, 6.4) , (3, 6.1)}

(3+5^2)(5-4^2) how to simplify?​

Answers

Answer:

-308

Step-by-step explanation:

[tex](3+5^2)(5-4^2)[/tex]

[tex]28(5-4^2)[/tex]

[tex]28(-11)\\[/tex]

[tex]-308[/tex]

Hope that helped!

What types of parts are necessary for a complex number?

Answers

Answer:

A complex number is of type

a+bi

where a is the real parts and b is the imaginary part.

Step-by-step explanation:

A complex number is of type

a+bi

where a is the real parts and b is the imaginary part.

i is called imaginary number because no real number satisfies this equation

An example of complex number can be: 7+8i or 23+9i etc

Solve this equation: n-(-8) = 15
n =

Answers

n - ( -8 ) = 15

n + 8 = 15

n = 15 - 8

n = 7

The answer is:

n = 7

Which of the following is a monomial? A. 2x − yz B. 2 + xyz C. 2xyz2 D. 2x + yz

Answers

I think the answer is D

For this case we have by definition that a monomial is the product of a known number (called coefficient) by one or several unknown values, represented by letters (literal part or variables).

If there were a sum or subtraction, it would be a binomial.

Examples of monomial:

[tex]5x ^ 7 * y ^ 2[/tex]

Then, according to the above, the correct option is option C.

Answer:

Option C

A line passes through the points (–1, –5) and (4, 5). The point (a, 1) is also on the line.
whats a value?

Answers

Answer: [tex]a=2[/tex]

Step-by-step explanation:

We need to analize the information provided:

We know that this line passes through the point [tex](a,1)[/tex] where "a" is the  unknown x-coordinate of that point and 1 is the y-coordinate.

We know that the line also passes through the point (-1, -5) and the point (4, 5).

Then, in order to find the value of "a", we can plot the known points and draw the line (Observe the image attached).

You can observe in the image attached that the point whose y-coordinate is 1 is the point (2,1). Therefore, the value of "a" is:

[tex]a=2[/tex]

Answer:

D: 2

Step-by-step explanation:

2.314 (14 repeating) as a fraction

Answers

Answer:

Therefore, x =  [tex]\frac{2291}{990}[/tex].

Step-by-step explanation:

Given : 2.314 (14 repeating) .

To find : Express as a fraction .

Solution : We have given  2.314 (14 repeating) .

Let x = 2.31414141.......

On multiplying both sides by 100

100x = 100 * 2.31414141....

100x = 231.414141......

We can express 231.414141...... in term of x .

100x = 229 .1 +  2.31414141.......

100x = 229.1 +x

On subtracting both sides by x .

100 x -x = 229 .1

99x = 229.1

On dividing both sides by 99

x= [tex]\frac{229.1}{99}[/tex].

x =  [tex]\frac{2291}{990}[/tex].

Therefore, x =  [tex]\frac{2291}{990}[/tex].

The repeating decimal 2.3141414... expressed as a fraction is [tex] \frac{2291}{990} [/tex]

The decimal given : 2.3141414

Let :

x = 2.31414 - - - (1)

Since only the 14 keeps repeating :

Multiply (1) by 10 in other to keep the repeating digits only to the right of the decimal Point.

10x = 23.1414 - - - - (2)

Multiply (2) by 100

1000x - 2314.1414 - - - - (3)

Subtract (2) from (3)

1000x - 10x = 2314.1414 - 23.1414

990x = 2291

Divide both sides by 990x = 2291 / 990

Hence, 2.31414...expressed as a decimal is [tex] \frac{2291}{990} [/tex]

Learn more : https://brainly.com/question/15406832?referrer=searchResults

Lorne subtracted 6x3 – 2x + 3 from –3x3 + 5x2 + 4x – 7. Use the drop-down menus to identify the steps Lorne used to find the difference.

Answers

Final answer:

Lorne subtracted the polynomial 6x³ − 2x + 3 from − 3x³ + 5x² + 4x − 7 by changing the signs of the second polynomial and combining like terms, resulting in the difference − 9x³ + 5x² + 6x − 10.

Explanation:

To find the difference between two polynomials, we subtract the corresponding terms of the second polynomial from the corresponding terms of the first. In the given problem, Lorne subtracted 6x³ − 2x + 3 from − 3x³ + 5x² + 4x − 7. To do this, we change the signs of the polynomial being subtracted and then combine like terms.

First, we write the problem with the second polynomial's signs changed: − 3x³ + 5x² + 4x − 7 - (6x³ − 2x + 3).

Next, we distribute the negative sign: − 3x³ + 5x² + 4x − 7 - 6x³ + 2x - 3.

Finally, we combine like terms: (− 3x³ − 6x³) + (5x²) + (4x + 2x) + (− 7 − 3).

The resulting difference is − 9x³ + 5x² + 6x − 10.

Please help !!! Urgent !!!What is the value of x???

Answers

Answer:

40

Step-by-step explanation:

x + (4x-20) = 180

5x - 20 = 180

5x = 200

x = 40

Answer:

the answer is 40

Step-by-step explanation:

the value of x and 4x -20 will be 180 degrees because it is a line and so you set the sum of those to 180 and solve for x

What is 131 rounded by the nearest tenth?

Answers

Hello There!

131 rounded to the nearest 10 or

the tens place is 30

It is 130.

Rounding down because it is lower than 5.

Hope this helps! The

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