Answer:
2x
Step-by-step explanation:
we can use the Pythagorean Theorem to find the missing side (a):
a² + (2x)² = (8x)²
a² + 4x² = 64x²
a² = 60x²
a = √60x²
a = 
· · 
This can be simplified to be 2x
9514 1404 393
Answer:
(c) BK = 65
Step-by-step explanation:
Corresponding sides are proportional in similar triangles, so ...
ZT/ZQ = KF/KB
27/(2x +7) = 45/(4x+1)
27(4x+1) = 45(2x +7) . . . cross-multiply
3(4x +1) = 5(2x +7) . . . . divide by 9
12x +3 = 10x +35 . . . . . eliminate parentheses
2x = 32 . . . . . . . . . . . . . subtract 10x+3
x = 16 . . . . . divide by 2
Then the length of BK is ...
BK = 4x+1 = 4·16 +1
BK = 65
Answer:
251.2 m
Step-by-step explanation:
Circumference = 2 x π x r
C = 2 x 3.14 x 40
C = 251.2
Answer:
p ≤ 10
Step-by-step explanation:
3/5 * p ≤ 6
Multiply each side by 5/3
5/3 *3/5 * p ≤ 6* 5/3
p ≤ 10
