A and B are vertical angles. If m_A = (3x - 30)° and m

Mathematics

1 answer:

Vilka [71]3 years ago

4 0

<h3>Answer: 21</h3>

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Work Shown:

Vertical angles are always congruent.

This means they are equal in measure.

A = B

3x-30 = 2x-9

3x-2x = -9+30

x = 21

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Side note:

if x = 21, then,

A = 3*x-30 = 3*21-30 = 33 degrees

B = 2*x-9 = 2*21-9 = 33 degrees

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The measures of two complementary angles are described by the expression(13y+12) and (20y+12). Find the measures of angles

Pachacha [2.7K]

Step-by-step explanation:

complementary angles means that both of them together = 90

13y +12 + 20y + 12 = 90

add all y together and numbers together

33y + 24 = 90

solve for y

33y= 66. y= 2

now let's get the measurements of the angles

13(2) + 12= 38

20(2) + 12= 52

8 0

3 years ago

A cylinder has a 12-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed wi

Tems11 [23]

The volume of the cylinder is the space occupied by the cylinder. The volume of the water in the cylinder is 1583.36266 in³.

<h3>What is the volume of a cylinder?</h3>

The volume of the cylinder is the space occupied by the cylinder. It is calculated with the help of the formula,

$\text{Volume of the cyllinder}= \pi r^2h$

As it is given that the diameter of the cylinder is 12 inches while the height of the cylinder is 15 inches, also, it has a ball of the diameter of 6 inches placed inside the cylinder, therefore, the volume of the water that is inside the cylinder is the difference in the volume of the cylinder and the volume of the spherical ball.

$\text{Volume of the cyllinder}= \pi r^2h = \dfrac{\pi}{4}d^2 h$