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>
Answer:
The disadvantages: Convenience samples do not produce representative results. If you need to extrapolate to the target population, convenience samples aren't going to get you there. ... Much larger convenience samples are not more accurate than small probability samples.
Answer:
Area: 5x + 10
Perimeter: 2x + 14
Step-by-step explanation:
Area = length times width
Perimeter = length (2) + width (2)
<u>Area:</u>
Multiply the length be the width. That gives you 5 (x + 2).
Then use the distributive property to simplify this expression. That gives you 5x + 10.
<u>Perimeter:</u>
Multiply the width by 2. That gives you 10.
Multiply the length by 2. That gives you 2x + 4
Add the 2 together. That gives you 10 + 2x + 4.
Combine all like terms. That gives you 2x + 14.
Answer:
Step-by-step explanation:
When you multiply like terms, you add their powers. When dividing like terms, you subtract their powers (subtract the power in the denominator from the one in the numerator).
Answer:
The third option (with the y values of -3, -5, -7, and -9)
Step-by-step explanation:
The y values in the third table are increasing by the same amount, indicating that the rate of change is constant, which is a key quality of a linear function.
