63 squared × 300090
2 answers:
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In measurement problems such as these, we can use proportional relationships to determine the length or measure of triangular sides.This works because the two figures are similar. Our proportion is going to have a variable since we do not know the height of one of the flagpoles. It will be set up as such:
= 
We cross multiply, then divide to solve this proportion.
32 x 5 = 160.
160/8 = 20.
This means the height of the flagpole is 20 feet high. To fit the height of the flag pole, the cord the school should buy for the flagpole should be 20 feet long.
We cross multiply, then divide to solve this proportion.
32 x 5 = 160.
160/8 = 20.
This means the height of the flagpole is 20 feet high. To fit the height of the flag pole, the cord the school should buy for the flagpole should be 20 feet long.
Answer:
15°
Step-by-step explanation:
A regular polygon is a polygon in which all the sides and angles of the polygon are equal to each other.
A regular 12-sided polygon is a polygon with 12 equal sides and angles.
The sum of interior angles of a polygon is given as:
sum = (2n - 4)90; where n is the number of sides of the polygon
For a 12 sided polygon:
Sum of interior angles = (2 * 12 - 4)90 = (24 - 4)90 = 20 * 90 = 1800°
Therefore since all the angles are equal, each angle = 1800° / 12 = 150°
Therefore in the question, ∠PQR = 150° (angle of a 12 sided polygon), ∠PRQ = ∠QPR = x
Therefore in triangle PQR:
∠PQR + ∠PRQ + ∠QPR = 180°
150 + x + x = 180
150 + 2x = 180
2x = 30
x = 15°
∠PRQ = 15°
