Question

6 and 7? Geometry homework

Answer 1

Answer:

Step-by-step explanation:

6) triangle ABC is similar to triangle DEC. It means that

AB/DE = BC/EC = AC/DC

Therefore,

6/21 = 10/y

Cross multiplying, it becomes

6y = 210

y = 210/6

y = 35

Also

6/21 = x/28

Cross multiplying, it becomes

6 × 28 = 21x

21x = 168

x = 168/21

x = 8

7) triangle JKL is similar to triangle NMP. It means that

JK/NM = KL/MP = JL/NP

Therefore,

49/14 = (9x + 1)/(x + 5)

Cross multiplying, it becomes

49(x + 5) = 14(9x + 1)

49x + 245 = 126x + 14

126x - 49x = 245 - 14

77x = 231

x = 231/77

x = 3