Answer:
m∠B = 31°
Step-by-step explanation:
First, find the measure of angle ACB by subtracting its supplement from 180 degrees:
180 - 113 = 77
m∠ACB = 77°
Then subtract both m∠A and m∠ACB from 180 degrees, since the interior angles of a triangle always add to 180°:
m∠B = 180° - 72° - 77°
m∠B = 31°
1a. Y = mx + b
Y = 2x + b
-2 = 2(5) + b
-2 = 10 + b, b = 12
Equation: y = 2x + 12
1b. Standard form: Ax + By = C
subtract 12 and y from both sides
2x - y = -12
Equation: 2x - y = -12
-25 - 12x = -(-8x - 6) - 3(5x + 12)
Distributive property.
-25 - 12x = 8x + 6 - 15x - 36
Combine like terms.
-25 - 12x = -7x - 30
Add 12x to both sides.
-25 = 5x - 30
Add 30 to both sides.
5 = 5x
Divide both sides by 5.
x = 1
The x-intersect is 1.
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