Answer:
-72
Step-by-step explanation:
Hello there! So, this is a quadrilateral and quadrilaterals equal 360 degrees. Let’s combine like terms to start off. 39x + 9 = 360. First, let’s subtract 9 from both sides to get 39x = 351. Next, divide each side y 39 to isolate the “x”. When you do that, x = 9. Now, let’s plug in the values for each, when you do, here are the final answers.
x = 9
E = 75 degrees
F = 91 degrees
G = 89 degrees
H = 105 degrees
Those are all of the angle measurements, but it wants the measurement of angle H. Therefore, that angle measurement is 105 degrees.
<h3>
Answers:</h3><h3>
x = 12</h3><h3>
Angle B = 45 degrees</h3>
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Explanation:
Angles A and B are alternate exterior angles.
Due to the parallel lines, alternate exterior angles are congruent
A = B
5x-15 = 2x+21
5x-2x = 21+15
3x = 36
x = 36/3
x = 12
Use this x value to find the measure of angle B
angle B = 2x+21
angle B = 2*12+21
angle B = 24+21
angle B = 45 degrees
As a check,
angle A = 5x-15
angle A = 5*12+15
angle A = 60-15
angle A = 45 degrees
Since A and B are both 45 degrees, this confirms the correct x value
Answer:
1. The volume of the pile is 4,399.7719 m^3
2. The number of sanders to be filled from a pile is 638
Step-by-step explanation:
Here, we firstly would calculate the volume of the pile
Mathematically, that will be;
V = 1/3 * pi * r^2 * h
from the question, h = 14.2
Mathematically, r = d/2
r = 34.4/2 = 17.2 m
So the volume will be:
V = 1/3 * 3.142 * 17.2^2 * 14.2
V = 4,399.7719 m^3
To find the number of sanders to be filled,
we simply divide the volume obtained by the volume a sander can take
That will be;
4,399.7719/6.9
= 637.6 which is 638
Square area=side^2
15=area=side^2
sqrt both sides
√15=side
aprox
3.87298=side
about 3.9in
