Answer:
AC = 6
Step-by-step explanation:
y is the dimension of the horizontal segment (see the attached image).
The hypotenuses are the same dimension, so:
(x+4)^2=(x/2)^2+y^2
(3x-8)^2=(x/2)^2+y^2
So,
(x+4)^2 = (3x-8)^2
x+4 = 3x-8
x-3x = -8-4
-2x = -12
x = 6
And x is the dimension of the segment AC.
15. 
Add "g" on both sides

Multiply 5 on both sides to get x by itself
x = 5(a + g)
x = 5a + 5g
18. a = 3n + 1
Subtract 1 on both sides
a - 1 = 3n
Divide 3 on both sides to get n by itself
= n
21. M = T - R
Add "R" on both sides to get "T" by itself
M + R = T
24. 5p + 9c = p
Subtract "5p" on both sides
9c = p - 5p
9c = -4p
Divide 9 on both sides to get "c" by itself
c =
or c = 
27. 4y + 3x = 5
Subtract "4y" on both sides
3x = 5 - 4y
Divide 3 on both sides to get "x" by itself
x = 
x = 
Answer:
V = 486
, or approx. 1,526.814
Step-by-step explanation:
V =
*r²*(h/3)
plug in the numbers: V =
* (9)² * (18/3)
simplify: V =
* 81 * 6
simplify: V = 486
, or approx. 1,526.814
Range is all real numbers
(-infinity, positive infinity)
5 + 27 ÷ 3 / 6 + 1 - Remember PEMDAS, so start by dividing 27 by 3.
5 + 9 / 6 + 1 - Next, add
14 / 7 Lastly, Divide.
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