∆PQR and ∆SQT are similar, so corresponding sides occur in fixed ratios with one another. This means
SQ / PQ = ST / PR
Solve for x :
8 / ((x + 5) + 8) = (x - 9) / 21
8 / (x + 13) = (x - 9) / 21
168 = (x - 9) (x + 13)
168 = x² + 4x - 117
x² + 4x - 285 = 0
(x + 19) (x - 15) = 0
⇒ x = -19 or x = 15
But x can't be smaller than 9, otherwise ST = x - 9 would be a negative length. So x = 15.
Answer:
thirty-six inches
Step-by-step explanation:
Answer:
Step-by-step explanation:
$60 * 3% = $1.80
y = 1.80x + $60
12 * 2 = 24
24 = x
y = 1.80(24) + $60
y = $43.20 + $60
y = $103.20
Step-by-step explanation:
problem answer in picture
