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I need help with 10-12

I need help with 10-12-example-1
User Ericj
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Answer:

Explanation:

10) Triangle ABC is similar to triangle EDC. This means that

AB/ED = BC/DC = AC/EC

Therefore,

(3x - 5)/32 = (5x - 5)/56

Cross multiplying, it becomes

56(3x - 5) = 32(5x - 5)

168x - 280 = 160x - 160

168x - 160x = 280 - 160

8x = 120

x = 120/8 = 15

11) Triangle JKL is similar to triangle triangle MKN. This means that

JK/MK = KL/KN = JL/MN. Therefore,

32/12 = (3x - 2)/(x + 1)

Cross multiplying, it becomes

32(x + 1) = 12(3x - 2)

32x + 32 = 36x - 24

36x - 32x = 32 + 24

4x = 56

x = 56/4 = 14

12) Triangle BCD is similar to triangle GEF. This means that

BC/GE = CD/EF = BD/GF. Therefore,

(x + 4)/51 = (2x - 7)/57

Cross multiplying, it becomes

57(x + 4) = 51(2x - 7)

57x + 228 = 102x - 357

102x - 57x = 228 + 357

45x = 585

x = 585/45 = 13

User Jack Clancy
by
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