Radius is 8
diameter is 16
curcumference is 50.24
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Answer:
(a) m<3 = 103 degrees
(b) m<4 = 77 degrees.
Step-by-step explanation:
A: The sum of the measures of all three interior angles in a triangle always is 180 degrees. Knowing this, we add the two known interior angles, 20 and 57, then subtract that from 180 to get 103 degrees.
B: The measure of an exterior angle is the sum of the two opposite interior angles. So, we add 57 and 20 to get the m<4 = 77 degrees.
The simplified expression that represents the total perimeter of the triangle is 2x^2 + 10x + 3
<h3>How to determine the perimeter?</h3>
The side lengths are given as:
2x^2 + 5x + 3, 2 + 2x and 3x - 2
Add these lengths to determine the perimeter (P)
P = 2x^2 + 5x + 3 + 2 + 2x + 3x - 2
Collect like terms
P = 2x^2 + 5x + 2x + 3x + 3 + 2 - 2
Evaluate the like terms
P = 2x^2 + 10x + 3
Hence, the simplified expression that represents the total perimeter of the triangle is 2x^2 + 10x + 3
Read more about perimeter at:
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Answer:
1) Parallel lines are "ALWAYS"
coplanar.
2) Perpendicular lines ARE "ALWAYS"
coplanar.
3) Distance around an unmarked circle CAN "NEVER" be measured
Step-by-step explanation:
1) Coplanar means lines that lie in the same plane. Now, for a line to be parallel to another line, it must lie in the same plane as the other line otherwise it is no longer a parallel line. Thus, parallel lines are always Coplanar.
2) similar to point 1 above, perpendicular lines are Coplanar. This is because perpendicular lines intersect each other at right angles and it means they must exist in the same plane for that to happen. Thus, they are always Coplanar.
3) to have the distance, we need to have the circle marked out. Because it is from the marked out circle that we can measure radius, diameter and find other distances around the circle. Thus, distance around an unmarked circle can never be measured.
