∆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:
6 Pounds of Bananas will cost a total of $3
$900
Explanation
First, you would need to find the area of the carpet which would be length x width, equaling to 400 ft., then you’d multiply the area of the carpet (400ft) by the cost for each square foot (2.25) leaving you with the total, $900
It is not because always remember, a positive is greater than a negative. This equation is showing a negative being greater than a positive. That's like saying I'm taller than you.
