Step-by-step explanation:
$15 initial fee. $2 per hour. $35 limit.
35 - 15 = 20
After the initial fee, he has $20 left.
20 ÷ 2 = 10
He can rent the metal detector for 10 hours.
∆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.
<u>Answer:</u>
32 units
<u>Step-by-step explanation:</u>
We have a quadrilateral ABCD and we are given the following coordinates for these vertices:
A (-11,-6)
B (-3,0)
C (1,0)
D (1,-6)
AB = 
= 10 units
BC = 
= 4 units
CD = 
= 6 units
AD = 
= 12 units
Perimeter of ABCD = 
= 32 units
<span>8/20 * 100 = 0.4 * 100 = 40% </span>
