Matt cut a circle into 8 equal sections. He drew an angle that measures the same as the total measure of 4 of the sections in the circle. What is the measure of the angle Matt drew?

The angle Matt drew = 180°

Step-by-step explanation:

The total angle formed by the 8 angles Matt drew in the circle equals 360° because one revolution of a circle is the same as the angle about a point which equals 360°.

Let the equal angles drawn = x

x + x + x + x + x + x + x + x = 360°

8 × x = 360°

8x = 360

x = 45°

∴ each angle drawn = 45°

Next, we are told that Matt drew another angle that has the same measurement as four (4) of the sections (angles) in the circle.

Finding the measure of this angle:

1 section in the circle = 45 (shown above)

∴ 4 sections = 45 × 4 = 180°

∴ The angle Matt drew = 180°

whose power in the senate is equal to the power of the speaker of the house?

step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b