The two triangles shown are similar. Find the value of a/b

The Two Triangles Shown Are Similar. Find The Value Of A/b

Answers

Answer 1

Answer:

[tex] \frac{a}{b} = 1.5 [/tex]

Step-by-step explanation:

Given that both ∆s are similar, therefore the ratio of their corresponding sides will be the same.

This means: [tex] \frac{2.1}{a} = \frac{1.4}{b} [/tex].

Since this equation is true, rewrite so that you have [tex] \frac{a}{b} [/tex]

[tex] \frac{2.1}{a} = \frac{1.4}{b} [/tex]

Cross multiply

[tex] a*1.4 = b*2.1 [/tex]

Divide both sides by 1.4

[tex] a = \frac{b*2.1}{1.4} [/tex]

Divide both sides by b

[tex] \frac{a}{b} = \frac{2.1}{1.4} [/tex]

[tex] \frac{a}{b} = 1.5 [/tex]

Answer 2

The value of [tex]\dfrac{a}{b}[/tex] is [tex]1.5[/tex].

Given:

Two triangles in the given figure are similar.

To find:

The value of [tex]\dfrac{a}{b}[/tex].

Explanation:

The corresponding sides of two similar triangles are proportional.

[tex]\dfrac{a}{2.1}=\dfrac{b}{1.4}[/tex]

It can be rewritten as:

[tex]\dfrac{a}{b}=\dfrac{2.1}{1.4}[/tex]

[tex]\dfrac{a}{b}=1.5[/tex]

Therefore, the value of [tex]\dfrac{a}{b}[/tex] is [tex]1.5[/tex].

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Related Questions

What is the range of 12,20,18,25,6

Answers

Answer:

19

Step-by-step explanation:

The range is the difference between the biggest number and the smallest number

Let's put these numbers in order:

25,20,18,12,6

The biggest number is 25, the smallest number is 6

25-6=?

19

Halla el divisor común maximo 24 у 36

Answers

El máximo común divisor es 12

Por cierto, hablo inglés, así que estoy usando Google Translat. :)

A biker rides for h hours at a speed of s miles per hour and travels d miles. Which equation models the relationship?

Answers

Answer:

hs=d

Step-by-step explanation:

Answer:

hs= d

Step-by-step explanation:

if 9√x=√12+√147,then x is equal to​

Answers

Answer:

[tex]9 \sqrt{x} = \sqrt{12} + \sqrt{147} \\ = > \sqrt{x} = \frac{ \sqrt{12} + \sqrt{147} }{9} \\ = > x = {(\frac{ \sqrt{12} + \sqrt{147} }{9} )}^{2} \\ = > x = ( \frac{15.58}{9} )^{2} \\ = > 3[/tex]

Find the difference (-5) - 6

Answers

Answer:

-11

Step-by-step explanation:

Round 62394 to the nearest

Answers

Answer:

63000 or 62400. Didn't specify whether to the thousandth or hundredth

The local garden store sells bags of mulch for $4.98 each and will deliver the bags for a fee of $15 if Amber purchases 15 bags and has them delivered what is the total amount that Amber will pay?

Answers

Answer:

$89.70

Step-by-step explanation:

To solve this equation, let's formulate a linear equation.

Let [tex]b[/tex] equal bags of mulch.

Let [tex]t[/tex] equal the total amount.

We know the price of each bag of mulch ($4.98), so we can represent this as:

[tex]4.98b[/tex]

We also know that there's a fee of $15, so we can just represent this as:

[tex]15[/tex]

Let's put these values into an equation:

[tex]t=4.98b+15[/tex]

Now with an equation, we know that she purchases a total of 15 bags, so let's substitute [tex]15[/tex] for [tex]b[/tex]:

[tex]t=4.98(15)+15[/tex]

Multiply:

[tex]t=74.70+15[/tex]

Add:

[tex]t=89.70[/tex]

_

Check your work by substituting the total amount into the initial equation:

[tex]89.70=4.98b+15[/tex]

Subtract [tex]15[/tex] from both sides of the equation:

[tex]74.70=4.98b[/tex]

Divide both sides of the equation by the coefficient of [tex]b[/tex], which is [tex]4.98[/tex]:

[tex]15=b[/tex]

Amber did in fact purchase 15 bags, so we know our total amount is correct!

Gender plays an important role in the six components of health.
Please select the best answer from the choices provided.

The ANSWER IS

T


I know because I just took the test

Answers

Answer:

sorry I didn't understand the answer t what is the answer t can u elaborated

Answer:

false

Step-by-step explanation:

its right

Problems
1) Paul runs 4 miles in 28 minutes. If he runs each mile at the same pace,
what is his rate in minutes per mile?
1 point
Your answer

Answers

Answer:

7

Step-by-step explanation:

You must divide 28 by 4 which equals 7.

Directions: Find the value of x.

5x-2 || 3x+4 || LOOK AT PICTURE PLEASE!!!!

Answers

Answer:

Step-by-step explanation:

180-90=90

5x-2+3x+4=90

5x-2+3x=90-4=86

5x+3x=86+2=88

8x=88

X=11

It will be nice if you give me brainliest.Good luck!

The value of x in the given right triangle is 11.

What is right triangle?

A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.

Given is a right triangle, with angles 5x-2 and 3x+4

We know that the sum of the both acute angles of a right triangle, is 90°

Therefore,

5x-2 + 3x+4 = 90°

8x = 88

x = 11

Hence, the value of x in the given right triangle is 11.

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Nina earned $35 babysitting. She went to the store and bought 2 CD's. The first CD she chose was priced at $13. The second CD was originally priced at $20.00 and was on sale for $15. After buying the CD's Nina then went to the grocery store with her mother. Her mother spent $6 on Nina's favorite brand of juice. How much money does Nina have left?

Answers

1 dollar

Explanation
15+13=28
28+6=34
35-34=1

I don’t understand this question.

Answers

Answer:

The answer is 106 degrees

Step-by-step explanation:

you would have to do (15x + 1) + (10x + 4) = 180°

15x + 10x + 4 + 1 = 180°
25x + 5 = 180°
25x = 175
x = 7

since x is 7 you plug it back in to 15x + 1 to find the measure of rqs

15(7) + 1
105 + 1
106

your answer is 106°

Write the equation of the line passing through the points (6,16) and (9,25).
First find the slope!

Answers

Answer:

y = 3x - 2

Step-by-step explanation:

Find the slope using rise over run (y2 - y1) / (x2 - x1), where (x1, y1 ) and (x2, y2) are points on the line.

Plug in the 2 points:

(y2 - y1) / (x2 - x1)

(25 - 16) / (9 - 6)

9 / 3

= 3

So, the slope is 3. Plug this and a point into y = mx + b to find b:

y = mx + b

16 = 3(6) + b

16 = 18 + b

-2 = b

Then, plug in b and the slope into the equation:

y = mx + b

y = 3x - 2 is the equation of the line

The state of matter of a substance depends upon how the atoms in that substance:

a
freeze.
b
expand.
c
shrink.
d
move.
giving away brainliest

Answers

Answer:

B

Step-by-step explanation:

The number of suitcases lost by airlines.

Answers

Answer:

4.3 billion

Step-by-step explanation:

In a class of 40 students, 26 are girls and 14 are boys. What is the ratio of girls to boys? Group of answer choices

14:26
14:40
26:40
26:14

Answers

26:14 is the ratio of the girls and boys

Answer:

26:14

Step-by-step explanation:

It ask for girls first and there are 26, then boys which is 14. So the ratio would be 26:14.

Hope this helps

angle 2 and angle 6 are blank angles​

Answers

Answer:

A correspoding

Step-by-step explanation:

Answer:

its a corresponding angles

Step-by-step explanation:

Identify the following series as arithmetic, geometric, both, or neither. ​

Answers

I think that is arithmetic i not totally sure

Answer:

arithmetic

Step-by-step explanation: Hope this helps :)

f(x)=2|5x+7|−1, evaluate f(−4)

Answers

Answer:

Step-by-step explanation:

f(x) = 2 |5(-4)+7| -1

     = 2 |(-20)+7| -1

     = 2 | -13 | -1

     = 26 - 1

     = 25

A function assigns the value of each element of one set to the other specific element of another set. The value of the function f(-4) is 25.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The value of f(-4) can be evaluated by substituting the value of x as -4 in the given function, therefore, the value of f(-4) can be written as,

f(x) = 2|5x+7| − 1

f(-4) = 2|5(-4)+7| − 1

      = 2|-20 + 7| - 1

      = 2|-13| - 1

      = 2(13) - 1

      = 26 - 1

      = 25

Hence, the value of the function f(-4) is 25.

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Sample A has a mean of M = 6. Sample B has a mean of M = 10. When the two samples are combined, the mean of the combined group is M = 9. Which of the following is the most accurate description for the two sample sizes?


The samples are the same size.

Sample A is much bigger than Sample B.

There is not enough information provided to determine this.

Sample B is much bigger than Sample A.

Answers

Answer:

Sample B is much bigger than Sample A

Step-by-step explanation:

It is because when seeing sample B alone we can see it has a larger mean than of Sample A. Mean is greater when the values we are using are of bigger value. Since Sample B has bigger values in it so it also a has bigger mean compared to Sample A which has a smaller mean (smaller values in it)

What is the mean age of dogs at the dog park?

Answers

Answer:

well first how about you give the anwsers

STEP BY STEP EXPLANATION

Which equation represents the line that passes through points (1, –5) and (3, –17)?​

Answers

Answer:

y=-6x+1

Step-by-step explanation:

If you have a line that passes through the points (1, -5) and (3, -17), the equation of this line will be y=-6x+1. For verification, -6+1=-5, so the first point is true, and -18+1=-17, so the second point is true as well.

Hopefully the answer is correct and the explanation helps!

Answer:

B

Step-by-step explanation:

Jesse went to the post
office and bought
some wagon stamps
and some sailboat
stamps. The wagon
stamps cost 4 cents
each and the sailboat
stamps cost 3 cents
each. If Jesse spent 31
cents to buy 9 stamps,
how many of each
type of stamp did he
buy?

Answers

Answer:

9 wagon stamps and 1 sailboat stamp!

Step-by-step explanation:

7×4= 28

28+3=31

Which components would Mr. Kelly use to write an equation to determine the total cost of the meal, given the amount of the bill, x?

Answers

can i see a picture?

Anyone willing to answer this?

Answers

Answer:

D:he deposits $10 per week

Step-by-step explanation:

Please help me would be greatly appreciated.

Answers

The answer is B but don’t be mad if it’s wrong

Segment addition pleas help in struggling

Answers

Answer:

x = -8

Step-by-step explanation:

using what's given, you can make the following equation:

3 + 2x + 22 = x + 17

3 + 22 + 2x - x = 17

25 + x = 17

x = 17 - 25

x = -8

Answer:

Step-by-step explanation:

3 + 2x + 22= x + 17

2x + 25 = x + 17

x + 25 = 17

x = -8

3 + 2(-8) + 22 = -8 + 17

25 - 16 = 9

9 = 9

x y
-1 3
0 5
1 7
2 9

1. What is the slope? m=
2. What is the y-intercept? b=
3. Write the equation in slope-intercept form:

Answers

Answer:

m=2(0,5)2x+5

Step-by-step explanation:

The slope is achieved through (5-3)/((0-(-1)) which is 2. The y-intercept is just where x=0 on the equation so (0,5). 3. Put it all together in y=mx+b to get 2x+5. Hope that helps!

Which shows one way the equation can be represented in words? Z-6=14

A.The dfference of a number and z is the same as one and four-tenths.

B.Anumber subtracted from one and four-tenths is equal to six.

C.Six less than a number is the same as one and four-tenths.

D.Sx decreased by a number is equal to one and four-tenths.​

Answers

C. six less than a number is the same as one and four-tenths

Answer:  c

Step-by-step explanation:

c is the answer

Find the absolute value. |9|=???

Answers

The absolute value of 9 is 9.
Other Questions
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