Answer:
You use the formulas for the shapes
Cylinder= 2×π×r×h+2×π×r² π×r²×h
Cone=
π×r²×
Square Prism= 2×a²+4×a×h a²×h
↑a=base edge
Step-by-step explanation:
Surface Area Volume
Cylinderical Head ≈282.74 ≈314.16
Conical Hat ≈170.13 ≈78.54
Right Cylinder Torso ≈471.24 ≈785.4
Right Cylinder Arm ≈56.55 ≈25.13
Square Prism Leg =224 =192
Answer:
12x - 28° = 116°
7x + 32° = 116°
Step-by-step explanation:
12x - 28° and 7x + 32° are vertical angles. Vertical angles are congruent.
Therefore, to find the measure of each angle, we have to set each equation equal to each other as follows:
12x - 28° = 7x + 32°
Collect like terms
12x - 7x = 28 + 32
5x = 60
Divide both sides by 5
5x/5 = 60/5
x = 12
✔️12x - 28°
Plug in the value of x
12(12) - 28
= 144 - 28
= 116°
✔️7x + 32°
7(12) + 32
= 84 + 32
= 116°