Answer:
<5 = 132°
<7 = 132°
<8 = 48°
Step-by-step explanation:
aAgle 2 and angle 5 are supplementary which means their sum is 180° so angle 5 is 180 - 48 = 32°
Angle 5 and angle 7 are congruent so their measures are equal 132°
Angle 8 and angle 2 are congruent and equal to each other as well
Answer:
(D) 30pi inches
Step-by-step explanation:
First, we use the given volume, the given height, and the formula of the volume of a cylinder to find the radius of the base. Then we use the radius of the base to find the circumference of the base.
We set the formula equal to the volume and replace h with 30 in.
Divide both sides by 30pi in.
Take the square root of each side.
The radius of the base is 15 in.
Now we use the radius of the base and the formula of the circumference of a circle to find the answer.
Answer:
D) Zero solutions
Step-by-step explanation:
9 - 5x = 8 - 3x - 1 - 2x
9 - 5x = 7 - 5x
9 = 7
Zero solutions
(1) C and (2) D
(1)
distribute the left side of the equation
2h - 16 - h = h - 16 ( simplify left side )
h - 16 = h - 16
Since both sides are equal, any value of h will make the equation true.
Hence there are infinitely many solutions to the equation → C
(2)
3 + 6z = 13 + 6z ( subtract 6z from both sides )
3 = 13 ← not possible
Hence there are no solutions to the equation → D
