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AveGali [126]
2 years ago
5

Problem

Mathematics
1 answer:
Paraphin [41]2 years ago
4 0

Answer:

45/126 or 5/14

Step-by-step explanation:

a / b = 5/8

b / c = 9/14

a = 5

b = 8

b = 9

8 * 9 = 72

b = 72

If b was = 8 and now = 72, multiply a by 9.

b = 45

If b was 9 and now is 72, multiply c by 9.

c = 14 * 9 = 140 - 14 = 126


b / c = 45/126 or 5/14

You are welcome!

Kayden Kohl

9th Grade Student

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Option A AY || XV given that A, Y, Z are midpoints of sides XW, VW, XV respectively. This can be obtained by knowing what similar triangles are and finding which sides are proportional.

<h3>Find the correct option:</h3>

Similar triangles: If two triangles have proportional sides the are similar.

For example, if ΔABC and ΔDEF are similar then

\frac{AB}{DE}= \frac{BC}{EF} =\frac{AC}{DF}

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Here in this question,

Since A, Y, Z are midpoints of sides XW, VW, XV

XA = AW

WY = VY

XZ = VZ

To consider sides AY and XV we should take triangles ΔWAY and ΔWXV

\frac{WX}{WA} =\frac{2WA}{WA} = 2  (since A is the midpoint of WX)

\frac{WV}{WY} =\frac{2WY}{WY} = 2  (since Y is the midpoint of WV)  

∠AWY = ∠XWV (reflexive property)

Therefore ΔWAY and ΔWXV are similar triangles

\frac{WX}{WA}= \frac{XV}{AY} =\frac{WV}{WY} = 2

∠WAY = ∠WXV and ∠AYW = ∠XVW

Hence,

AY || XV option A AY || XV given that A, Y, Z are midpoints of sides XW, VW, XV respectively.

 

Learn more about similar triangle here:

brainly.com/question/25882965

#SPJ1

Disclaimer: The question was given incomplete on the portal. Here is the complete question.  

Question: Analyze the diagram below and answer the question that follows. If Z, Y and A are midpoints of ΔVWX what is true about AY and XY?

A. AY || XV

B. 1/2 AY = XV

C. AY = XV

D. AY ≅ XV

 

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