Hello! To find the answer to this, let’s do 6x + 4x = 180. Combine like terms and you get that 10x = 180. Divide each side by 10 in order to get 18. Angle 1 = 108 degrees and Angle 12 = 72 degrees. Odd number angles match each other and even number angles match each other. In this case, 5 has the same angle measurement as 1, which is 108. The answer is D: 108 degrees.
Answer:
C. 184 ft²
Step-by-Step Explanation:
The formula for the surface area of a triangular prism is
SA = bh + 2ls + lb; where b = base, h = height, l = length, s = side
First, substitute the known value into the equation:
b = 6 ft
h = 4 ft
l = 10 ft
s = 5 ft
SA = (6)(4) + 2(10)(5) + (10)(6)
Then, all we have to do is simplify:
SA = 24 + 2(50) + 60
SA = 24 + 100 + 60
SA = 184 ft²
Hope this helps!
Answer:
1st ∡ = 15.5°
2nd ∡ = 77.25°
3rd ∡ = 87.25°
Step-by-step explanation:
1st ∡: x
2nd ∡: y
3rd ∡: z
Equations we can create from data given in problem:
y + z = 5x
z = 5x + 10
We have enough expressions to create an equation:
x + 5x + 5x + 10 = 180
11x = 170
x = 15.5
y = 5(15.5) = 77.25
z = y + 10 = 87.25
Answer: B) -2.24
Step-by-step explanation: