Answer:52 ft.
Step-by-step explanation: If the area of the base of the pyramid is
169
ft
2
then each side of the base is
13
ft
long because the base of the pyramid is a square.
Length of the side,
s
=
√
169
=
13
Iif we take the area of a square
A
=
s
2
where
s
=
13
we get the area of the base to be
169
ft
2
thus proving that each side of the base is
13
ft
long.
So to find the perimeter of the base of the pyramid we use the formula:
P
=
4
s
where
s
=
13
ft
and thus,
p
=
4
⋅
13
ft
=
52
ft
Answer: x=3/2
Step-by-step explanation:
Multiply the parentheses by 2/3. 9=2/3x+8.
Multiply both sides by 3 . 27=2x+24
Move the term. When moved to the left side it changes from positive to a negative. -2x=24-27.
-2x=-3
Divide both sides by -2
x=3/2 (x=1 1/2, x=1.5)
Answer:
8. False.
11 and 13 are consecutive prime numbers, but 11 + 13 = 24 and 24 isn't prime.
9. True.
10. True.
11. True
12. False.

13. True.