<h3><u>The value of x is equal to -2.</u></h3>
5(2x + 8) = -8x + 4
<em><u>Distributive property.</u></em>
10x + 40 = -8x + 4
<em><u>Add 8x to both sides.</u></em>
18x + 40 = 4
<em><u>Subtract 40 from both sides.</u></em>
18x = -36
<em><u>Divide both sides by 18</u></em>
x = -2
2.6 = 2.600
So, 2.6 is not bigger than 2.661
Step 1.
Calculate measure of angle α:
Step 2.
Calculate what fraction of the angle 360° is the angle α:
Step 3.
Calculate the circumference of the Earth (circle):
Step 4.
The length of arc is equal 1/40 of the circumference:
<h3>Answer: A) 628 miles</h3>
Short answer: B
Remark
A 45 degree angle means that the height is the same length as part of the base. But which part?
Givens
b1 = 9 feet
b2 = 23 feet
and the 45 degree angle on the right.
Determine the height.
The part of the base that is associated with the 45 degree angle is found by subtracting b1 from b2
b2 - b1 = 23 - 9 = 14
So 14 is also the height
Find the Area
A = 1/2 (b1 + b2)*h
b1 = 9
b2 = 23
h = 14
Area = 1/2(9 + 23) * 14
Area = 1/2 (32) * 14
Area = 16 * 14
Area = 224 <<<< answer
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