Find the value of x. Show all work.

x = -8°

Step-by-step explanation:

Angle 2

Since the triangle is isosceles, Angle 2 is the same as the missing angle

So angle 2 would be:

180 - 34 = 2(angle 2)

So 146 = 2(x + 81)

146 = 2x + 162

146 - 2x = 162

-2x = 16

x = -8

Check

146 = 2(-8+81)

146 = 2(73)

146 = 146

Correct!

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answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15