See below for the proof that the areas of the lune and the isosceles triangle are equal
<h3>How to prove the areas?</h3>
The area of the isosceles triangle is:

Where r represents the radius.
From the figure, we have:

So, the equation becomes

Evaluate

Next, we calculate the length (L) of the chord as follows:

Multiply both sides by r

Multiply by 2

This gives


The area of the semicircle is then calculated as:

This gives

Evaluate the square

Divide

Next, calculate the area of the chord using

Recall that:

Convert to radians

So, we have:

This gives

The area of the lune is then calculated as:

This gives

Expand

Evaluate the difference

Recall that the area of the isosceles triangle is

By comparison, we have:

This means that the areas of the lune and the isosceles triangle are equal
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Answer:
56 deceased by 14% is 48.16
262 decreased by 39% is 159.82
Answer:5.9-6.2x
Step-by-step explanation:
a=1.4-2x
b=-0.2x+1.7
3a+b
=3(1.4-2x)+(-0.2x+1.7)
=4.2-6x-0.2x+1.7
=4.2+1.7-6x-0.2x
=5.9-6.2x
5 days because there are 24 hours in a day so every six hours you can take 4 a day
Measure of E is congruent to K, so E is 50 degrees.
Measure of G is congruent to L, so G is 105 degrees.
Measure of F is congruent to J, J is 180 deg - 50 deg - 105 deg = 25 degrees, so F is 25 degrees.
<u><em>The proof I am using is the Corresponding Angles Postulate.</em></u>
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