Answer:
∠1 = 36°
Step-by-step explanation:
All angles of a regular polygon are congruent, as are the sides. A regular decagon will have 10 congruent angles.
<h3>Exterior angles</h3>
The sum of the measures of the exterior angles of a convex polygon is always 360°. This decagon has 10 congruent exterior angles, so the measure of each is given by ...
10(∠1) = 360°
∠1 = 36° . . . . . . . . divide by 10
Answer:
The answer to your question is: (3x + 5)(9x² - 15x + 25)
Step-by-step explanation:
Data
G(x) = 27x³ + 125
This is a sum of cubes
Process
![\sqrt[3]{27} = 3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27%7D%20%3D%203)
![\sqrt[3]{125} = 5](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B125%7D%20%3D%205)
27x³ + 125 = (3x)³ + (5)³ = (3x + 5)(9x² - 15x + 25)
Add up the base lengths: 22+29 = 51
Divide that result over two: 51/2 = 25.5
Answer: 25.5
If n is the first integer, then n+2 is the second one. The equation for the sum can be written as
n + (n+2) = 24 . . . . . . this equation can be used to solve the problem
2n = 22 . . . . . . . . . . . simplify, subtract 2
n = 11
The integers are 11 and 13.
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I like to solve problems like this by looking at the average of the integers. Here, it is 24/2 = 12. The consecutive odd integers whose average is 12 are 11 and 13.
Hancock building * .27 = 92 m
divide each side by .27
Hancock building =92/.27
Hancock building =340.740(repeating)
Answer: the building is approximately 340.74 meters
