Answer:
a) h = 15
b) x = 4
Step-by-step explanation:
a) set up a proportion:
<u> 5 </u> = <u> h </u>
8 24
cross-multiply:
8h = 120
h = 15
b) <u> x + 5</u> = <u> x + 5 + 15</u>
5x + 1 5x + 1 + 35
cross-multiply:
(x + 5)(5x + 36) = (5x + 1)(x + 20)
5 + 61x + 180 = 5
+ 101x + 20
180 = 40x + 20
160 = 40x
x = 4