Answer:
x = 1
z = 1/2
Step-by-step explanation:
z = 3/y
z = 3/6
z = 1/2
x = 2z
x = 2(1/2)
x = 1
The volume of a pyramid is V = 1/3 x base length^2 x height
Let X = base length.
We are told the height is 1/2 the length, so height would be 1/2x
Now we have:
972 = 1/3 * x^2 * 1/2x
Simplifying we get:
972 = 1/6x^3
Multiply both sides by 6:
5832 = x^3
Take the cube root of both sides:
x = 18
The length of the base is 18 inches.
The height is 1/2 that, so the height would be 18/2 = 9 inches.
Answer:

Step-by-step explanation:



Answer:
y = (1/5)x - 8
Step-by-step explanation:
It's slope-intercept form y=mx+b and we just substitute m=1/5, b= -8.
Following the principle of supplements angles, the angle next to the 101 is 79°. 79+38+c(call the third angle c) = 180
c = 180-117 =63° x is supplemental to c so 180 = x +c
180=x + 63
x =117