Answer: x = 40
<u>Step-by-step explanation:</u>
3x + x + 20 = 180 <em>same side (consecutive) interior angles</em>
4x + 20 = 180
4x = 160
x = 40
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Answer: x = 24
<u>Step-by-step explanation:</u>
6x - 24 + 2x + 12 = 180 <em>linear pair (supplementary angles)</em>
8x - 12 = 180
8x = 192
x = 24
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Answer: x = 16
<u>Step-by-step explanation:</u>
base angles of an isosceles triangle are congruent
2(2x + 15) + 6x - 10 = 180 <em>triangle sum theorem</em>
4x + 30 + 6x - 10 = 180
10x + 20 = 180
10x = 160
x = 16
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Let ∠1 and ∠2 represent the exterior angles in the diagram and "x" represent the same side (consecutive) interior angle with ∠1.
Then m∠1 + x = 180 <em>same side interior angle theorem</em>
and m∠2 + x = 180 <em>linear pairs are supplementary </em>
m∠1 + x = m∠2 + x <em>transitive property</em>
m∠1 = m∠2 <em>subtraction property of equality</em>
∠1 ≈ ∠2 <em>definition of congruency</em>
I'm guessing that you don't really want the formulas. I think what you actually want
is the definitions of those functions of an acute angle when it's in a right triangle.
Cosine = (adjacent side) / (hypotenuse)
Tangent = (opposite side) / (adjacent side)
Sine = (opposite side) / (hypotenuse)
Tell me if I'm wrong, and I'll find some formulas for you.
Answer: 0
First: Move constant to the left by adding its opposite to both sides
-3x+2y-7=7-7
Then: Change the signs on both sides of the equation
3x-2y+7
Equaling: 3x-2y+7=0
The interest at the end of the first month can be calculated given that the interest rate per month. Once, you get the interest rate per month, you multiply it to the price when you purchased the car.
