Answer:
x = 15
Step-by-step explanation:
angle FoH = 360° - 90° - 90° - angle G
= 180° - 75°
= 105°
17x° = 360° - angle FoH
17x° = 360° - 105°
17x° = 255°
x = 255 ÷ 17
x = 15
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Middle angles are vertical , so the are congruent,
so third angle in triangles will be also congruent (angle near crossed side)
so ASA postulate
Answer:
-7 * -7 = 49.
Step-by-step explanation:
A negative number times another negative number gives a positive number.
7 * 7 = 49 , also - 7 * -7 = 49.
Answer:
A. Corresponding angle theorem
Step-by-step explanation: I just took the test on edg
Answer:
a. 45 π
b. 12 π
c. 16 π
Step-by-step explanation:
a.
If a 3×5 rectangle is revolved about one of its sides of length 5 to create a solid of revolution, we can see a cilinder with:
Radius: 3
Height: 5
Then the volume of the cylinder is:
V=π*r^{2} *h= π*(3)^{2} *(5) = π*(9)*(5)=45 π
b. If a 3-4-5 right triangle is revolved about a leg of length 4 to create a solid of revolution. We can see a cone with:
Radius: 3
Height: 4
Then the volume of the cone is:
V=(1/3)*π*r^{2} *h= (1/3)*π*(3)^{2} *(4) = (1/3)*π*(9)*(4)=12 π
c. We can answer this item using the past (b. item) and solving for the other leg revolution (3):
Then we will have:
Radius: 4
Height: 3
Then the volume of the cone is:
V=(1/3)*π*r^{2} *h= (1/3)*π*(4)^{2} *(3) = (1/3)*π*(16)*(3)=16 π