What are the values of a and b?

What Are The Values Of A And B?

Answers

Answer 1

Answer:

D

Step-by-step explanation:

These two triangles are similar triangles. The two angles marked are the same and the two angles at the intersection where you see the square are also the same, making it clear that the last angle must be the same as well.

Therefore,

length 8 from the top triangle is similar to length 6 on the bottom triangle,

length 10 from the top is similar to b on the bottom triangle,

length 6 from the top is similar to a on the bottom.

To find the ratio of similarity, you would compare the length 8 to length 6, and divide them. 8/6 = 1.33333

Now that you've found the proportionality constant, you divide the other two lengths on the top triangle with the constant to get b and a.

b = 10/1.3333 = 7.5

a = 6/1.3333 = 4.5

Therefore, the answer is D: a = 9/2, b = 15/2.


Related Questions

The length of the diagonal of a squere is 36 feet. Find the length of the side of the square.
I need help with this pls

Answers

Step-by-step explanation:

by PT,

36^2 = length^2 x length^2

length = 6 feet

Topic: Pythagoras theorem

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

646 divided by 9 long division with a reimandeir

Answers

Answer:

71 R. 7

Step-by-step explanation:

Hope this helps!

Pls answer and show work!

Answers

Answer:

x represents +50 for every hour. the inequality is y = 4x + 500 or y = x + 500.

they can ride it for 4 hours

Step-by-step explanation:

y(total cost) = x(50 per hour) + 500(y-intercept)

A store buys 17 sweaters for $255 and sells them for $578. How much profit does the store make per sweater?

Answers

Answer:

$19 per sweater <3

I need help with this question!!!! Plzz

Answers

Answer:

y=-5x+9

Step-by-step explanation:

Answer:

y = -5x + 9

Step-by-step explanation:

Plug each of the x values into this equation and see if you get the corresponding outputs for y, it should work fine.

A local park is in the shape of a square. A map of the park is made with the scale of 1 inch to 200 feet. If one side of the park on the map is one foot long, how long is the side of the park in real life?

Answers

Answer: The side of the park is 2,400 feet long.

Explanation:
Scale is 1in:200ft
One foot = 12in
The fraction 1/200 = 12/x, which is cross multiplication.
1 times x = 1
12 times 200 = 2400
1 times 2400 = 2400
So that one side equals 2,400ft.
& since it’s a square that means all sides are equal no matter which is talking about.

Natalia solved the problem
74
.
4
÷
12
=
6
.
2
. Complete the model with partial products to check Natalia's work using multiplication.

A large rectangle is broken into 4 smaller rectangles The top line is labeled 6 and 0.2. The left side is labeled 10 and 2. The rectangles are divided between those labels. The top left rectangle is labeled A. The top right rectangle is labeled B. The bottom left rectangle is labeled C. The bottom right rectangle is labeled D.

Part A
Drag values to the boxes to complete the partial products. Not all choices will be used.

0.4 1.2 2 4 6 12 20 60


The product for A =
.

The product for B =
.

The product for C =
.

The product for D =
.

Part B
Choose the words to complete the statement.

Natalia's work is
correct
, because the total of the partial products is
Choose...
as the dividend.

Answers

Answer:

The product for A = 60

The product for B = 2  

The product for C = 12

 

The product for D=0.4

Choose......correct, Choose.....the same

Step-by-step explanation:

I had the same question on a test and this is the correct answers. Hope this helped!

Stem question, can you plz tell me 3 types of natural water vapor other that steam, fog, and clouds, thanks.

Answers

Answer:

Smoke, Condensation, mist

Step-by-step explanation:

<3

The probability of two events A and B happening simultaneously is 0.17. The probability of only event A happening is 0.34. Find the probability of event B happening, if event A has already happened

Answers

Answer:

because is the probability is 0.17 and 0.34 is fair

You can use the multiplication rule of probability.

The probability of event B happening if event A has already happened is 0.5

What does general multiplication rule of probability says for 2 events A and B?

[tex]P( A \: \rm and \: B) = P(A)P(B|A) = P(B)P(A|B)[/tex]

Since we've to find the probability of B given that A has already happened, we need [tex]P(B|A)[/tex]

Since the probability of both event A and event B happening simultaneously is 0.17, thus:
[tex]P(A \: \rm and \: B) = 0.17\\ [/tex]

Since the probability of only event A happening is 0.34, thus:

[tex]P(A) = 0.34[/tex]

Thus, from the multiplication rule, we have:
[tex]P(A \: \rm and \: B) = P(A)P(B|A)\\ 0.17 = 0.34 \times P(B|A)\\\\ \dfrac{0.17}{0.34} = P(B|A)\\\\ P(B|A) = \dfrac{1}{2} = 0.5[/tex]

Thus, we have the probability of event B happening when A has already happened as 0.5

Learn more about multiplication rule of probability here:

https://brainly.com/question/14450597

A bin at a department store contains blue and red blankets. The ratio of blue blankets to red blankets is 13 to 7. What percent of the blankets in the bin are blue?

Answers

Step-by-step explanation:

13=blue blankets 7=red blankets

First, we need to know how many blankets there are in total.

13+7=20

Now, we don't need the seven anymore. Our ratio is blue blankets to total blankets.

13/20

Now, we need to know how many blue blankets there are in percentage.

13/20 = x/100

Next step: 13 times 100 is divided by 20

x= 13(100)÷20

x=1300÷20

x= 65

Therefore there are 65% of blue blankets.

What is the first step needed to solve 4 over 7 multiplied by x minus 5 equals negative 13? Subtract 13 from both sides Divide both sides by 7 Add 5 to both sides Multiply both sides by 4

Answers

Answer: C) add 5 to both sides

The given equation is

(4/7)x - 5 = -13

To solve this, we follow PEMDAS in reverse undoing each operation. Normally parenthesis is the first thing we look for, but instead we start with subtraction.

So we'll undo subtraction which means we add 5 to both sides

Answer:

C is your answer

Step-by-step explanation:

A+3/4=7/8. Please help solve equation using subtraction

Answers

1/8
If you can make the bottom numbers (denominator) The same that you can use subtract the top numbers like normally

I NEED HELP! I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER CORRECTLY! :D

Answers

Answer:

1. Train B is faster

Step-by-step explanation:

Train b travels a greater distance in 2 hours than train A.

Train B travels 250 miles in 2 hours, while Train A travels only 120 miles.

These two triangles are similar. What are a and b? Note: the two figures are not drawn to scale. Please help with this!!!

Answers

9514 1404 393

Answer:

a = 6b = 22.5

Step-by-step explanation:

The ratio of smallest sides in the two triangles is ...

  smaller / larger = 4/10

To find A and B, we write proportions involving corresponding side lengths.

__

Side A in the smaller triangle is ...

  A/15 = 4/10

  A = (4/10)(15) = 6

__

The ratio of larger to smaller is the inverse of the above ratio, so ...

  B/9 = 10/4

  B = (10/4)(9) = 22.5

Describe the graph of x > 2 and x < 5

Answers

Answer:

y=(x−5)2

The graph of y is the standard parabolic, concave up curve of y=x2 shifted ("transformed") by 5 units right ("positive") on the x−axis,

The graph of y is shown below.

graph{(x-5)^2 [-10, 10, -5, 5]}

Answer:

I'm prettyy sure you already figured this out knowing you, so thanks;)

Step-by-step explanation:

11 coommon factor of​

Answers

1? Isn’t it like a prime number

can someone fill in the blanks for me I'm doing a vocab test on math so plz help thx brainliest awarded

Answers

Answer:

15 - Given a system of two equations, we can produce an equivalent system by replacing one equation by the sum of the two equations, or by replacing an equation by a multiple of itself.

16 - It tells us that two expressions mean the same thing, or represent the same number. An equation can contain variables and constants.

17 - Commutative Properties

Step-by-step explanation:

Answer:

i gotchu babe lol,

14.Associative Property

15. equivalent systems

16. equation

17.Commutative Property

Step-by-step explanation:

i love you so much, i hope this helps you babe.

Find the missing length indicated.
?
12
4
9
28
50
12.

Answers

Answer:

28 probably sorry if wrong

My fellow Americans, tonight, I’d like to talk with you about immigration.
For more than 200 years, our tradition of welcoming immigrants from around the world has given us a tremendous advantage over other nations. It’s kept us youthful, dynamic, and entrepreneurial. It has shaped our character as a people with limitless possibilities—people not trapped by our past, but able to remake ourselves as we choose.
–Address to the nation on immigration, President Obama, 2014
Which advantages of immigration does President Obama name in this passage? Check all that apply.
It has helped create new businesses.
It has helped boost the nation’s military.
It has helped shift the nation’s death rate.
It has shaped the character of the country.
It has given us benefits that other countries do not have.

Answers

Answer:

A, D, and E

so basically, It has helped create new businesses. It has shaped the character of the country.  It has given us benefits that other countries do not have.

Answer:

A,D, and E

Step-by-step explanation:

just answered the question

what is the difference of the fractions? use the number line to help find the answers. 4/7 - 10/7​

Answers

Answer:

This means that the fraction 3/4 is 3 out of 4 equal parts. So, count 3 parts from 0 and you will get 3/4. That's it! You've shown the fractions 1/4 and 3/4 on a number line!

Step-by-step explanation:

It is.

Answer:

This means that the fraction 3/4 is 3 out of 4 equal parts. So, count 3 parts from 0 and you will get 3/4. That's it! You've shown the fractions 1/4 and 3/4 on a number line!

Step-by-step explanation:

The math is just correct

20POINTS WILL MARK BRANLIEST PLSS
The layout of a city park is pictured in the figure above. Park managers would like to find the distance of segment DE, in order to build a walkway across the middle of the park. The park managers look up the distance of segments BC and AB in the city records. If the length of segment AB is determined to be 562 feet, what is the distance of mid-segment DE in feet?

Select one:
A. 220
B. 244
C. 276
D. 281

Answers

244 is the correct answer

Thirty-two is equivalent to twice the value of b and then increased by eight. What is the value of b?

Answers

Answer:

I think its eight

Step-by-step explanation:

8 x 2 = 16 + 8 = 32

Answer:

b= 24

Step-by-step explanation:

They want you to find half of 32 and then add 8.

32÷2= 16

16+8=24

PLA HELP QUESTION IN PHOTO

Answers

Answer:

Step-by-step explanation:

its the first one

Answer:

C

Step-by-step explanation:

Coconut oil freezes at a high temp, and there for is a greater number.

Solve:
5y + 3y +1+1 = 2y + 6y +6 +2

Answers

Answer:

0=6

There are no solutions to this answer.

Step-by-step explanation:

Answer:

There is no solution.

Step-by-step explanation:

Help i am stuck please be fast

Answers

Answer:

Step-by-step explanation:

They are alike because both involve steps for multiplication and addition but part b uses factoring in its estimation to solve the problem while part c dosesn't.

Iwefwegweg weg ewgwewegw egwe gwe gwe weg weg w

Answers

Answer:

gweew gshbx

Step-by-step explanation:

Please helppp
solve for y

Answers

Answer: [tex]y=\frac{-x}{w-3}[/tex]

Step-by-step explanation:

To solve for y, we want to isolate y.

[tex]w=\frac{3y-x}{y}[/tex]             [multiply both sides by y]

[tex]yw=3y-x[/tex]         [subtract both sides by 3y]

[tex]yw-3y=-x[/tex]      [factor out y]

[tex]y(w-3)=-x[/tex]     [divide both sides by (w-3)]

[tex]y=\frac{-x}{w-3}[/tex]

Now, we know that [tex]y=\frac{-x}{w-3}[/tex].

i need help with this ^

Answers

Answer:

I think it's 3

Step-by-step explanation:

If 2 is c than subtract  it and it's 3?

In AGHI, the measure of

Answers

Answer:

yes

Step-by-step explanation:

Feet thats the answer noooo problem

There are 3.9 milligrams of calcium in a ½ ounce of cooked chicken. How many milligrams are in 6 ounces?

Answers

Answer:

there are 46.80 milligrams in 6 ounces.

Step-by-step explanation:

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