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13 votes
13 votes
Does anyone know how to do this ???

Does anyone know how to do this ???-example-1
User KKM
by
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1 Answer

15 votes
15 votes

Answer:

  • 8) x = 6.5, 9) x = 7, 10) x = 13

Explanation:

We have similar figures given.

The ratio of corresponding sides of similar figures is same as per definition of similarity.

Use this property and solve each question.

Question 8

  • HG/DC = FG/BC
  • x/13 = 13/26
  • x/13 = 1/2
  • x = 13/2
  • x = 6.5

Question 9

  • WY/SU = YX/UT
  • 4/(x + 5) = 3/9
  • 4/(x + 5) = 1/3
  • x + 5 = 4*3
  • x + 5 = 12
  • x = 7

Question 10

Considering x is positive, PS and MN are longer legs of right triangles.

  • PS/MN = ST/ML
  • (x + 2)/10 = (x - 1)/8
  • 10(x - 1) = 8(x + 2)
  • 10x - 10 = 8x + 16
  • 10x - 8x = 16 + 10
  • 2x = 26
  • x = 13
User Dtward
by
2.3k points