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Angle A = 180

Step-by-step explanation:

180=7x+40

Subtract 40 from both sides

140 = 7x

Divide 7 from both sides

20=x

Substitue 20 in for x

7(20)+40

140+40 = 180

x = 18

< A = 166

Step-by-step explanation:

Angles A and B are corresponding angles, therefore they have the same measure. Using this information, you get the following equation:

7x + 40 = 3x + 112

-3x         - 3x

4x + 40 = 112

     - 40   - 40

4x = 72

Divide both sides by 4.

x = 18

Solve for A:

7(18) + 40 = 166

Hope it helps!

40 minutes

step-by-step explanation:

add the time and multiply by 2

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0