What is the measure of angle a

What Is The Measure Of Angle A

Answers

Answer 1
Review the meaning of "straight angles."

Here 110 and A are "straight angles," and so 110 + A = 180   (degrees).

Then A = 70 degrees.
Answer 2

Answer:

m∠A = 70°

Step-by-step explanation:

The given figure is nothing but parallel lines cut by a transversal.

We use property of transversal to find the value of angle A.

Here ∠A and 110° are pair of interior angles on the same side.

The pair of interior angles on the same side add upto 180 degrees.

Therefore, ∠A + 110 = 180

Subtract 110 from both sides, we get

∠A + 110 - 110 = 180 -110

∠A = 70°

m∠A = 70°


Related Questions

Solve for V in V = s3 , if s = 4.

Answers

I think you mean: [tex]V=s^{3}[/tex]. Then replacing s with 4:
[tex]V=4^{3}=4*4*4=64[/tex]

Answer:

[tex]64\ units^{3}[/tex]

Step-by-step explanation:

we have

[tex]V=s^{3}[/tex]

This is the formula to calculate the volume of a cube

where

s is the length side of the cube

In this problem we have

[tex]s=4\ units[/tex]

substitute

[tex]V=4^{3}=64\ units^{3}[/tex]


Clarence solved the equation 3x + 15 = 33 and showed the following work. Did he do the work correctly? 3x + 15 = 33 3x + 15 - 15 = 33 3x = 33 = x = 11 Which of the following is true? x is 11. x should be 6. x should be 16. x should be 99.

Answers

the answer is "x should be 6"

Describe which of the two points lies on the graph of the line
2x+2y=6
A,-4,5
B,6-3

Answers

B. 6, -3

2(6) + 2(-3) = 6

12 - 6 = 6

True

hope this helps

Melvin borrowed $1,200 for furniture. His monthly payments were $60 for 24 months. Find the total amount repaid.

A. $1,200

B. $240

C. $1,440

D. $2,880

Answers

The answer is C just multiply the amount of money hell give times the amount of times hell give it

The total amount repaid by Melvin for the specified case is given by: Option C. $1,440

For finding the total amount repaid, we need to find how repeated addition can be evaluated using multiplication.

How to interpret integral multiplication?

Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as a and b

Then, their multiplication can be interpreted as:

[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]

For example,

[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]

Since Melvin paid $60 for 24 months, so the amount he paid is $60 added 24 times, or:

Total amount paid by Melvin for furniture buying = 60  + 60 + ... + 60 (24 times) = [tex]24 \times 60 = 1440 \text{\: (in dollars)}[/tex]

Thus, the total amount repaid by Melvin for the specified case is given by: Option C. $1,440

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Who would be interested in using inequalities? What are the benefits
and limitations of using inequalities to make decisions?

Answers

I would be interested, they help because they allow you to see how much you can use for whatever it is you need. An example would be how much money you can spend per month to still have enough for your bills
Final answer:

Inequalities describe a range of possible values and are useful in fields like business, economics, and physical sciences. They allow for decisions based on a range of results, like determining minimum product sales for profit. However, they don't provide specific values, which is a limitation in some contexts.

Explanation:

Many people would be interested in using inequalities in a range of fields, including business, engineering, economics, physical sciences, and mathematics. The use of inequalities provides benefits when you need to understand a range of possible values rather than a specific number. This allows decisions to be made based on a range of acceptable outcomes.

For example, in a business setting, inequalities can be used to determine the minimum number of products that need to be sold to achieve a certain profit. If the goal is to earn at least $500, the inequality would be nx > 500, where n is the price per unit and x is the number of units sold.

However, inequalities have their limitations. They provide a range of answers, not specific solutions. Thus, they may not be suitable in situations where precise values are needed. They also imply that all values within the range are equally acceptable, which might not always be the case.

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"Suppose X ~ N(2, 3).

What value of x has a z-score of −0.74? (Enter an exact number as an integer, fraction, or decimal.)"

Thanks so much for any and all help. I have no idea what I'm doing. :P

Answers


z score  = (x - m)  / s    where m = mean and d = std deviation


-0.74  = (x - 2)/ 3

x - 2 = -2.92

x = -0.92
Final answer:

The value of x with a z-score of -0.74 is -0.22.

Explanation:

To find the value of x that has a z-score of -0.74, we can use the formula:

x = mean + (z-score * standard deviation)

Given that the mean (mean) is 2 and the standard deviation (standard deviation) is 3, we can substitute these values into the formula:

x = 2 + (-0.74 * 3)

Simplifying the equation, we get:

x = 2 - 2.22

x = -0.22

Therefore, the value of x that has a z-score of -0.74 is -0.22.

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Which relationship between sample size and sampling error is correct?

Answers

The relationship between sample size and sampling error is that the smaller the sample size, the bigger the sample error percentage.

Write 17/4 as a mixed number. explain your work.

Answers

To make 17/4 as a mixed number, you would have to do 17 divided by 4. You would get 4.25

Then just put that decimal into a fraction. That would be 4 1/4

The  17/4 as a mixed number can be written as  4 1/4.

How to convert from decimal to fraction?

For conversion from decimal to fraction, we write it in the form a/b such that the result of the fraction comes as the given decimal. Usually, to get the decimal of the form a.bcd, we count how many digits are there after the decimal point (if its finite), then we write 10 raised to that many power as denominator, and the considered number without any decimal point as numerator.

In order to make 17/4 as a mixed number, we would have to do 17 divided by 4.

17/ 4 = 4.25

Then just put that decimal into a fraction.

That would be 4.25 = 4 1/4

Therefore, the  17/4 as a mixed number can be written as  4 1/4.

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Solve the system of equations.
y =+6x12
y =+x47

Answers

y=72 for the first option,as for the second one i don't know. Hope i helped on the first equation though :)

find the inverse of the function and then determine whether the inverse is a function.
y=x^2+4

Answers

Hello there!

In order to find the inverse, we need to interchange the variables and solve for y.

[tex]f ^{-1} (x) = \sqrt{-4+x} , - \sqrt{-4+x} [/tex]

Edited: Yes the inverse is a function.
What is a function?
A function is a special relationship where each input has a single output.

It is often written as "f(x)" where x is the input value.
Best of luck!


3333​% of college students say they use credit cards because of the rewards program. you randomly select 10 college students and ask each to name the reason he or she uses credit cards. find the probability that the number of college students who say they use credit cards because of the rewards program is​ (a) exactly​ two, (b) more than​ two, and​ (c) between two and five inclusive. if​ convenient, use technology to find the probabilities.

Answers

a. at r = 2

P = [10! / (10 – 2)! 2!] * 0.33^2 * 0.67^(10 – 2)

P = 0.1989 ~ 0.20               (answer)

 

 

b. We deduct the values of P when r = 0, r = 1, r = 2 from 1 to get all values when r > 2

at r = 0

P = [10! / (10 – 0)! 0!] * 0.33^0 * 0.67^(10 – 0)

P = 0.0182

 

at r = 1

P = [10! / (10 – 1)! 1!] * 0.33^1 * 0.67^(10 – 1)

P = 0.0898

 

so for r > 2, the probability is:

P = 1 – (0.1989 + 0.0182 + 0.0898)

P = 0.6931            (answer)

 

 

c. at r = 3

P = [10! / (10 – 3)! 3!] * 0.33^3 * 0.67^(10 – 3)

P = 0.2614

 

at r = 4

P = [10! / (10 – 4)! 4!] * 0.33^4 * 0.67^(10 – 4)

P = 0.2253

 

at r = 5

P = [10! / (10 – 5)! 5!] * 0.33^5 * 0.67^(10 – 5)

P = 0.1332

 

So when r is between 2 and 5 inclusive, the probability is:

P = 0.1989+ 0.2614 + 0.2253 + 0.1332

P = 0.8188            (answer)

 

 

9(x + 3) = 108 what does 9x equal and i need major help on how to do this in genral

Answers

9(x + 3) = 108

First distribute the 9 to everything inside the parenthesis by multiplying them.
9x + 27 = 108

Now subtract 27 from both sides

9x + 27 (-27) = 108 (-27)

9x = 81

divide 9 from both sides

9x/9 = 81/9

x = 9

9x = 81

hope this helps
Here is your answer:                                                                                                                                                                                                                                                                First write the equation:                                                                                          9x+27=108                                                                                                           Subtract 27 on each side 108-27=81                                                                     Then divide 9 by 81 9/81=9                                                                                   Your answer is x=9    

the sum of two numbers it 226. their differences is 200. what are the numbers?

Answers

To get the bigger number, divide by 2 the sum of the given sum of the numbers and their difference. In this case-
(226 + 200)/2 = 426/2 = 213.
To get the smaller number, divide by 2 the difference of the given sum of the numbers and their difference. In this case -
(226 - 200)/2 = 26/2 =13.
The two numbers are 213 and 13.
The bigger number is 213

To find the two numbers with the sum of 226 and a difference of 200, set up two equations, add them to find one number, and then substitute it into one of the equations to find the other. The two numbers are 213 and 13.

The sum of two numbers is 226, and their difference is 200. To find the two numbers, we can set up two equations based on the given information:

Equation 1: x + y = 226Equation 2: x - y = 200

Add both equations to eliminate y:

(x + y) + (x - y) = 226 + 2002x = 426x = 213

Substitute x in one of the equations to find y:

x - y = 200213 - y = 200y = 213 - 200y = 13

The two numbers are 213 and 13.

What is (1.3x10^-2)x(0.05) in scientific notation?

Answers

Final answer:

To multiply 1.3 x 10^-2 and 0.05 in scientific notation, convert 0.05 to 5 x 10^-2. Multiply 1.3 by 5 to get 6.5, then add the exponents to get 6.5 x 10^-4, which is the final answer in scientific notation.

Explanation:

The question asks to calculate the multiplication of 1.3 x 10^-2 and 0.05 and express the result in scientific notation. To solve this arithmetic with numbers in scientific notation, you should multiply the decimal numbers and add the exponents of the ten's powers. The decimal multiplication is 1.3 multiplied by 0.05, which equals 0.065. Since 0.05 is not in scientific notation, it can be written as 5 x 10^-2 to simplify the calculation. Thus, the multiplication becomes (1.3 x 10^-2) x (5 x 10^-2). The next step is to multiply the decimal parts, 1.3 and 5, getting 6.5. The exponents of ten are then added together: -2 + (-2) = -4. The final multiplication gives us 6.5 x 10^-4. However, for true scientific notation, the leading number must be between 1 and 10, so we rewrite 6.5 as 6.5 x 10^0. The final scientific notation is therefore 6.5 x 10^-4.

The growth in population of a city can be seen using the formula p(t) = 9768e0.003t, where t is the number of years. according to this formula, in how many years will the population reach 14,652? round to the nearest tenth of a year.

Answers

135.2 years because if you plug 135.2 in for t it is the closest tenth of a year to 14,652.

The number of years will the population reach 14,652 will be 500 years.

What is an exponent?

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as

y = a(b)ˣ

The growth in the population of a city can be seen using the formula given below.

[tex]\rm P(t) = 9768 \times e^{0.003 \times t}[/tex]

Where t is the number of years.

The number of years will the population reach 14,652 will be given as,

[tex]\rm 14652 = 9768 \times e^{0.003 \times t}\\\\e^{0.003 \times t} = 1.5[/tex]

Take natural log on both sides, then we have

0.003 × t = 1.5

t = 1.5 / 0.003

t = 500 years

The number of years will the population reach 14,652 will be 500 years.

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the diagonals of a parallelogram are congruent and are perpendicular bisectors of each other. the parallelogram is which type of quadrilaterals?
A. square
B. rectangle
C. trapezoid
D. kite

Answers

Hello,

The parallelogram is a rectangle and a diamond so a square.

Answer A
The correct answer is a

What is the distance between points (-23. 17) and (-3, -4)

Answers

Here is the work to go with the answer it is hard to completely type out hope it helped!

A box contains 5 red marbles, 8 green marbles, 4 blue marbles, and 3 yellow marbles. if 2 marbles are randomly selected without replacement, what is the probability that a red marble is selected and then a green marble is selected?

Answers

The Total number of Marbles contained in the Box is as follows: 5 (Red) + 8 (green) + 4 (blue) + 3(yellow) = 20 Marbles The Probability of selecting the first Marble (Red) is 5/20 Then 19 Marbles will be left. The probability of selecting the second Marble green is 8/19 Since the first marble was not replaced then the probability of selecting a red marble and then a green marble is = 5/20 * 8/19 = 2/19.
Final answer:

The probability of drawing a red marble first and a green marble second (without replacement) from a box containing 5 red, 8 green, 4 blue, and 3 yellow marbles is 2/19.

Explanation:

In the scenario you've described, you would first calculate the probability of selecting a red marble from the box. You have 5 red marbles and a total of 20 marbles (5+8+4+3), so the probability of drawing a red marble first is 5 out of 20, or 1/4.

When you draw a second marble without replacing the first, you have a slightly altered situation - the total number of marbles in the box now comes down to 19. We are interested in the probability of drawing a green marble now. As there are 8 green marbles, probability of drawing a green marble is 8 out of 19, or 8/19.

Probability of a red marble being picked first and then a green marble without replacement is calculated as: P(Red and then Green) = P(Red) * P(Green | Red is already picked). This equals 1/4 * 8/19 = 8/76 = 2/19.

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Sarah's grade point average is 2.4. based on the frequency distribution of grouped scores in the table below, what is the percentile rank of sarah's grade point average?

Answers

your answer is 240% hope I helped and god bless. :)

Simplify open parentheses x to the 2 ninths power close parentheses to the 3 eighths power

Answers

[tex]\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad \sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\ -------------------------------\\\\ \left( x^{\frac{2}{9}} \right)^{\frac{3}{8}}\implies x^{\frac{2}{9}\cdot \frac{3}{8}}\implies x^{\frac{6}{72}}\implies x^{\frac{1}{12}}\implies \sqrt[12]{x}[/tex]
If this is correct: (x^(2/9))^(3/8) 
Then it would be x^(1/12)

What is the factored form of n2 – 25?

Answers

the factored form of this equation is (n+5)(n-5). Hope this helps you. 

Answer: The factorized form of [tex]n^2-25[/tex] will be

[tex](n-5)(n+5)[/tex]

Explanation:

Since we have given that

[tex]n^2-25[/tex]

Now, we need to factorize the expression,

We know the formula for "difference of squares" which is given by

[tex]a^2-b^2=(a+b)(a-b)[/tex]

Using the formula, we get

[tex]n^2-25=n^2-5^2=(n-5)(n+5)[/tex]

Hence, the factorized form of [tex]n^2-25[/tex] will be

[tex](n-5)(n+5)[/tex]



If a pair of shoes cost $40 and they are on sale for 30% off how much would they be

Answers

multiply 40 by 30% to find the discount then subtract

40 * 0.30 = 12

40-12 = 28

they would cost $28

What is the greatest perfect square that is a factor of 980?

Answers

Answer:

The greatest perfect square that is a factor of 980 is 196.

Step-by-step explanation:

To find : What is the greatest perfect square that is a factor of 980?

Solution :

First we factor the number 980.

[tex]980=2\times 2 \times 5\times 7\times 7[/tex]

[tex]980=2^2\times 7^2\times 5[/tex]

[tex]980=(2\times 7)^2\times 5[/tex]

[tex]980=(14)^2\times 5[/tex]

[tex]980=196\times 5[/tex]

This clearly means that 196 is the required factor.

Therefore, The greatest perfect square that is a factor of 980 is 196.

We have that The Greatest perfect square of 980 is

x= 196

From the question we are told that

The greatest perfect square that is a factor of 980

Generally

Greatest perfect square

Where a  perfect square is a number that is written to given the product of two identical Numbers

Therefore

Greatest perfect square of 980 is

x= 196

Where

The factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Therefore

The Greatest perfect square of 980 is

x= 196

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To trisect a(n) ____ angle, you first construct an equilateral triangle.
A) acute
B) right
C) obtuse
D) 120- degree

Answers

Answer:

Option B - right angle

Step-by-step explanation:

We have Given statement : To trisect a(n) ____ angle, you first construct an equilateral triangle.

Solution: Option B is correct because,  a right angle is 90 degrees and an equilateral triangle has a 60 degree corner.

So, if you construct the equilateral you have one 60 and one 30, now bisect the 60.  


The sum of the ages of Kristen and Ben is 32. Four years ago Kristen was twice as old as Ben. How old are they both now?

Answers

Let us say that:

K = age of Kristen

B = age of Ben

 

From the problem, we make the equations:

eqtn 1: K + B = 32

eqtn 2: (K – 4) = 2 (B – 4)

 

Simplifying eqtn 2:

K – 4 = 2 B – 8

K = 2 B – 4

 

Plugging in this to eqtn 2:

(2 B – 4) + B = 32

3 B – 4 = 32

3 B = 36

B = 12

 

From eqtn 2:

K = 2 B – 4 = 2 (12) – 4 = 20

 

So Kristen is 20 while Ben is 12.

Final answer:

By translating the given information into a system of equations and solving them step-by-step, we found that Kristen is 20 years old and Ben is 12 years old.

Explanation:

The question asks us to solve a system of equations based on the ages of Kristen and Ben. The total sum of their ages is 32, and four years ago, Kristen's age was twice that of Ben. Let's denote Kristen's age as K and Ben's age as B. The given information can be translated into two equations:

K + B = 32

K - 4 = 2(B - 4)

To solve these equations, first simplify the second equation:

K - 4 = 2B - 8

K = 2B - 4

Now substitute the value of K from the second equation into the first equation:

2B - 4 + B = 32

3B = 36

B = 12

Now that we know Ben's age (12), we can find Kristen's age by substituting the value of B into any of the initial equations. Using K + B = 32:

K + 12 = 32

K = 20

Therefore, Kristen is 20 years old and Ben is 12 years old.

The time t (in minutes) for a small plane to climb to an altitude of h feet is given by t = 50 log10 (18000/(18000-h)) where 18000 feet is the plane's absolute ceiling. a. Determine the domain of the function appropriate for the context of the problem. b. Graph the function and identify any asymptotes. c. As the plane approaches its absolute ceiling, what can be said about the time required to further increase its altitude. d. Find the amount of time it will take for the plane to climb to an altitude of 4000 feet.

Answers

Final answer:

The domain of the function is restricted to the altitude of the plane, and the plane cannot exceed its absolute ceiling. The graph of the function will have a vertical asymptote at the absolute ceiling. As the plane approaches its absolute ceiling, the time required to further increase its altitude increases significantly. To find the time it will take for the plane to climb to a specific altitude, substitute the altitude into the equation and solve for time.

Explanation:

a. The domain of the function is determined by the restrictions given in the problem. In this case, the domain represents the altitude of the plane. Since the plane's absolute ceiling is 18,000 feet, the altitude cannot exceed 18,000 feet. Therefore, the domain is 0 ≤ h ≤ 18,000.

b. To graph the function, we can plot points by substituting different values of h into the function and calculating the corresponding values of t. This will result in a smooth curve. Asymptotes occur when the function approaches certain values of h or t. In this case, the function has a vertical asymptote at h = 18,000, because the plane cannot climb beyond its absolute ceiling.

c. As the plane approaches its absolute ceiling of 18,000 feet, the time required to further increase its altitude increases significantly. This is because the logarithmic function in the equation has a slower growth rate as h approaches its limit.

d. To find the time it will take for the plane to climb to an altitude of 4000 feet, we can substitute h = 4000 into the equation t = 50 log10 (18000/(18000-h)) and solve for t.

Simplify i12

-1

-i

i

1

Answers

Answer:

[tex]i^{12}=1[/tex]

Last option is correct.

Step-by-step explanation:

We have to simplify the expression [tex]i^{12}[/tex]

We can rewrite this expression using the properties [tex](a^m)^n=a^{mn}[/tex]

[tex](i^4)^{3}[/tex]

Now, we know that [tex]i^4=1[/tex]

Hence, we have

[tex](1)^{3}[/tex]

On simplifying, we get

[tex]1[/tex]

Thus, the simplified form is 1.

Last option is correct.

Answer:

it's 1

Step-by-step explanation:

Is 120% equal to less than or greater than 1

Answers

Greater than. 100% would be 1, and since 120% is greater than 100%, it must be greater than 1.

Expand number 520 into its corresponding exponential form

Answers

520
26  20
4 6   5  4
2 2  3 2   2 2     4 root 30

rewrite the equation in the form y= k/x

xy= -45

x= 15/y

2xy=9

what are the answers and how do i solve them?

Answers

1.
xy=-45 (divide both sides by x)
xy÷x = 45÷x
y= 45÷x
y= 45/x

2.
x=15/y ( cross multiply)
xy= 15 ( divide both sides by x)
y= 15/x

3.
2xy= 9 (divide both sides by 2x)
y= 9/2x
y= 4.5/x
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