What does X equal? geometry

Mathematics

1 answer:

Otrada [13]2 years ago

3 0

Answer:

x= 77

Step-by-step explanation:

The angle at 122 degrees is a linear pair with the isosceles triangle, meaning it makes 180 degrees.

180-122= 58 degrees

Since it is an isosceles triangle, the two angles at the bottom are both 58 degrees.

Let's use this info to find the degree at the top.

58+58= 116

There are 180 degrees in a triangle, so subtract 116 degrees we have so far to find the last angle.

180-116= 64 degrees

And since the angle at the top makes 90 degrees, we can subtract 64 degrees to find the smaller angle to the right of the 64 degree angle.

90-64= 26 degrees

And since a triangle has a total of 180 degrees, subtract the 26 degrees from 180.

180-26= 154 degrees.

And since it is an isosceles triangle, divide the remaining 154 degrees by 2 because they are both equal.

154/2= 77 degrees.

Your answer is 77 degrees.

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the volume of a sphere whose diameter is 18 centimeters is ? cubic centimeters. If its diameter were reduced by half its volume

Ghella [55]

A) The formula for the volume of a sphere in terms of its radius (half the diameter) is
$V= \frac{4}{3}\pi r^{3}$
For your 18 cm sphere, the volume is
$V= \frac{4}{3}\pi(9 cm)^{3} = 972\pi \cdot cm^{3} \approx 3054 cm^{3}$

B) If the diameter were reduced by half, the volume would be $(\frac{1}{2})^{3}=\frac{1}{8}$ of the original volume.