The two labeled angles are alternate interior angles, and as such, they are the same.
From this result you can build the equation

and solve it for x: subtract 13x from both sides to get

and add 2 to both sides to get

Check: if we plug the value we found we have

So the angles are actually the same, as requested.
Answer:
y = -2x +20
6x - 5y = 12
Put the value of y in 2nd equation
6x - 5( -2x +20 ) = 12
6x +10x -40 = 12
16x = 12 +40
16x = 52
x = 13/4
Putting the value of x in equation 1
y = -2x +20
y = -2(13/4 ) +20
y = 27/2
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Answer:
x =2, x = 4
Step-by-step explanation:
x^2 - 6x + 8 = 0
(x - 2)(x - 4) = 0
x - 2 = 0; x = 2
x - 4 = 0; x = 4
Answer:
You have 3.5 Servings.
Step-by-step explanation:
1/4 x 4 = 4/16
14/4 = 3.5
Surface Area of the Prism = (6x4) = 2(5x4) + 2(1/2x6x4)
Surface Area of the Prism = 24 + 40 + 24
Surface Area of the Prism =88 cm²
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Answer: Surface Area of the Prism =88 cm²
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