The segments shown below could form a triangle. A. True B. False
2 answers:
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Given:
Measure of exterior angle = 164°
The measure of opposite interior angles are x° and 53°.
To find:
The value of x.
Solution:
According to the Exterior Angle Theorem, in a triangle the measure of an exterior angles is always equal to the sum of measures of two opposite interior angles.
Using Exterior Angle Theorem, we get
Therefore, the value of x is 111.
Step-by-step explanation:
First, the pizza is 18 inches in diameter, so
and, because the radium is half of the diameter,
<u>Note that the units are inches.</u>
Using the equation
where a is the area of a circle, we know that the area of the whole pizza is approx.254.5 square inches. Divide by 8 to find the area of 1/8 of a pizza. Each slice will have an area of approx. 32 square inches. For a precise result, the answer is
where a(s) is the area of a slice of pizza, and s is the total number of slices, given they are equal in size.