Answer:
Step-by-step 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
