Answer:
charlie
Step-by-step explanation:
I just got it right on the test
Answer:
Step-by-step explanation:
I am assuming that by "interior" angle you do not mean the central angle.
This is a 10-sided polygon, a decagon. That means that there are 10 triangles that can extend from the center, with their sides being equal to the radii of the decagon. If we extract one of these triangles we can find what the interior angle is. The vertex angle measures 360/10 which is 36.
Split this triangle in half from the vertex to the base, creating a right triangle. The vertex angle is also split in half, making this angle (the vertex angle is the one at the top of the triangle) 18 degrees. We already know that one angle inside this right triangle is 90 (definition of a right triangle) and to find the other one, we apply the Triangle Angle-Sum Theorem:
180 - 18 - 90 = 72 degrees. That is the measure of the base angle that is NOT the right angle, obviously.
The similarity ratio is 20/10 = 2, so x can be found as:
10/2 = x = 5
Answer: The length of the shorter side of a golden rectangle is about 24.7 inches.
Step-by-step explanation:
Given : A golden rectangle has side lengths in the ratio of about 1 to 1.62.
Since 1.62 > 1 , so
If the length of the longer side is 40 inches , then we have
Hence, the length of the shorter side of a golden rectangle is about 24.7 inches.
