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See below for the solution to the questions
<h3>The parallel side of the trapezoid</h3>The given parameters are:
Area = 138
a = 4x - 1
b = x - 4
Height = 12
The area is calculated as:
Area = 0.5 * (a + b) * height
So, we have:
0.5 *(4x - 1 + x - 4) * 12 = 138
This gives
5x - 5 = 23
Add 5 to both sides
5x = 28
Divide by 5
x = 5.6
Recall that:
a = 4x - 1 = 4 * 5.6 - 1 = 21.4
b = x - 4 = 5.6 - 4 = 1.6
Hence, the short base length is 1.6 meters and the long base length is 21.4 meters
<h3>The largest angle in the triangle</h3>The sides are given as:
x = 22
y = 24
z = 25
The largest angle always opposite the largest side.
This means that the largest angle is Z
<h3>The Circumference</h3>The radius is given as:
r = 29
The circumference is calculated as:
So, we have:
Evaluate
C = 182.21
Hence, the circumference is 182.21 inches
<h3>Measure of angle from arc</h3>The measure of the arc is given as:
The angle LIK is calculated as:
So, we have:
Evaluate the quotient
Hence, the measure of the angle is
Read more about trapezoid at:
Read more about circumference at:
Read more about triangle at:
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