Question

Please help thank you very much and show all work

Answer 1

Question 1:

Angle D and angle E are congruent because they are alternate interior angles. Let's make an equation.


`5(x-2)=x+14`

Use the distributive property


`5x-10=x+14`

Add both sides by 10 and subtract both sides by x


`4x=24`

`x=6`

Plus this in and you get 20 for both of them (they're supposed to be congruent).

Your answer is the first choice.

Question 2:

Use the sine. The sine is the opposite leg divided by the hypotenuse. Divide the sine from 400 to get our answer.


`\frac {400}{sin(7)} \approx 3282`

Your answer is the third choice.

Question 3:

Use the tangent. The tangent is the opposite side divided by the adjacent. Divide 203 by the tangent of 22 degrees.


`(203)/(\tan(22)) \approx 502.4`

Your answer is the third choice. I hope this helps! :)