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:
6+38i
Step-by-step explanation:
1. y=4x
2. (I am not able to graph it, but here are some points on the line.)
(0,3) (3,6) (5,8) those three should get you to graph a line. When you have these types of problems, make a table. plug in random numbers, that are reasonable, usually 1-6, and plug them into the equation and enter your new y values, then graph the ordered pairs and connect them.
Answer:
11
Step-by-step explanation:
The angles will equal 180.
Thus, the equation is 9x-5+6x+20=180.
15x+15=180.
15x=165.
divide by 15 on both sides, x = 11.
Answer:
4x=y
Step-by-step explanation:
Mandy collects 4 times the amount that Cameron has, so Cameron's amount x 4 = Mandy's amount