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Svetach [21]
3 years ago
15

Shelley is making a rectangular blanket with dimensions 8 1/2 feet by 5 1/2 feet. She purchases 10 yards of ribbon to put a bord

er around the blanket. Which statement is true?
Mathematics
1 answer:
scoray [572]3 years ago
6 0

Answer:

there are no options listed, but some statements that are true about this question are:

  • total perimeter = (8.5 x 2) + (5.5 x 2) = 28 feet = 9¹/₃ yards
  • since Shelley purchased 10 yards of ribbon, it should be enough
  • after finishing the blanket, Shelley will have 2 feet of ribbon left

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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}

∠ABC = ∠DEF and ∠ACB = ∠DFE

Then we can write that, ΔABC ~ ΔDEF

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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