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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Answers

Answer:

9

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 1 -10)/(-1 -0)

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   = 9

Answer:

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Step-by-step explanation:

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Sarah has 4/7 pounds of flour. She is splitting the flour into 5 containers
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Answers

Answer:

4/35 pounds

Step-by-step explanation:

4/7 ÷ 5 is the same as

[tex]\frac{4}{7} * \frac{1}{5}[/tex]

4x1/7x5

= 4/35

Answer:

4/35

Why?

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A student missed 51 problems on a history test and received a grade of 4%. If all the problems were of equal value, how many problems were on the test? Follow the problem-solving process and round your answer to the nearest integer.

Answers

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Marisa said that multiplying 8.0 by 1,000,000 would increase the value of the 8 because there would be 6 more zeros after the decimal point. explain what is wrong in marisa's statement​

Answers

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Step-by-step explanation:

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Answers

Answer:

The answer is D

Step-by-step explanation:

(4x6)^3

(24)^3=13,824

when you multiply 4^3 with 6^3 you get the same answer of 13,824

Answer:

Answer=D

Step-by-step explanation:

(for powers outside a bracket it splits in the numbers inside the bracket)

(4×6)^3

=([tex]4^{3}[/tex]×[tex]6^{3}[/tex]) as in D

To proof

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=64×216

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Answers

Answer:

Step-by-step explanation:

Its b

Answer:

D

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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

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25,20,18,12,6

The biggest number is 25, the smallest number is 6

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Answers

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Step-by-step explanation: x=0

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Step-by-step explanation:

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Answers

Answer

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Step-by-step explanation:

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C is the circumcenter of PQR
PC=3x+7, RC=5x-15 and QC=51-x.
what does RC equal?

Answers

Answer:

[tex] RC = 40 [/tex]

Step-by-step explanation:

Given:

PC = 3x + 7,

RC = 5x - 15,

QC = 51 - x.

Required:

measure of RC

SOLUTION:

Given that C is the circumcenter of ∆PQR, therefore, vertices P, Q, and R are equidistant from C.

So therefore,

[tex] PC = RC = QC [/tex]

Let's find the value of x using:

[tex] PC = RC [/tex]

[tex] 3x + 7 = 5x - 15 [/tex] (substitution)

Collect like terms

[tex] 3x - 5x = -7 - 15 [/tex]

[tex] -2x = -22 [/tex]

Divide both sides by -2

[tex] x = \frac{-22}{-2} [/tex]

[tex] x = 11 [/tex]

Find the measure of RC

[tex] RC = 5x - 15 [/tex]

substitute x = 11 into the equation

[tex] RC = 5(11) - 15 [/tex]

[tex] RC = 55 - 15 [/tex]

[tex] RC = 40 [/tex]

Answer:

40

Step-by-step explanation:

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Step-by-step explanation:

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Meandre has 8 pints of milk. If he drinks ¼ of a pint of milk each day, how long will the 8 pints of milk last him?

Answers

Answer:

16 days

Step-by-step explanation:

1/4 = 0.25

8 divied 32

In multiplacation

8 time 4 = 32

8 pints of milk will last for 32 days.

What is Division?

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

Given that,

Total amount of milk Meandre has = 8 pints

Amount of milk drinking in 1 day = 1/4 pint

We have to calculate the number of days that 8 pints of milk will last.

Let x be the required number of days.

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To learn more about Division, click on the link given below :

https://brainly.com/question/4196546

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The fraction 24/28 In simplest form is____.
12/14
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Answers

Answer:

6/7

Step-by-step explanation:

Answer:

6/7

Step-by-step explanation:

divide it by 4

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