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
