Answer:
x = 7
y = -4
Step-by-step explanation:
5x = 35
x=7
14 + 2y = 6
2y = -8
y = -4
Answer:
3
Step-by-step explanation:
You'll need to use the Angle Bisector Theorem.
CU / ZU = BC / BZ
From the first part of the problem, you used Pythagorean theorem to find that BZ = 10.
Let's say that CU = x. That means ZU = 8 − x. Plugging in values:
x / (8 − x) = 6 / 10
Cross multiply:
10x = 6(8 − x)
Solve:
10x = 48 − 6x
16x = 48
x = 3
Answer:
theta is 78 degrees, alpha is 85 degrees
Step-by-step explanation:
use the parallel lines
alternate interior angles means that theta + 112 = 180
and since the alternate interior of the 85 degree angle is a vrtical angle of alpha, they are equal
Answer:
The surface area of the rectangular prism is 52 square feet (ft²), if the height is 4 feet, width is 3 feet and depth is 2 feet.
Step-by-step explanation:
The given is,
A prism of
Let, h - height of the prism
w - Width of the prism
d - Depth of the prism
Step:1
From given,
h = 4 feet
w = 3 feet
d = 2 feet
Step:2
Formula to calculate the surface area of the rectangular prism is,
A=2(wd+hd+hw)
Substitute the values of w,d and h
= 2 [(3×2) + (4×2) + (4×3)]
= 2 (6+8+12)
= 2 × 26
= 52
A = 52 Square feet
Result:
Thus the surface area of the rectangular prism is 52 square feet (ft²), if the height is 4 feet, width is 3 feet and depth is 2 feet.
