Question 1:
Angle D and angle E are congruent because they are alternate interior angles. Let's make an equation.
[tex]5(x-2)=x+14[/tex]
Use the distributive property
[tex]5x-10=x+14[/tex]
Add both sides by 10 and subtract both sides by x
[tex]4x=24[/tex]
[tex]x=6[/tex]
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.
[tex] \dfrac {400}{sin(7)} \approx 3282[/tex]
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.
[tex]\dfrac{203}{\tan(22)} \approx 502.4[/tex]
Your answer is the third choice. I hope this helps! :)
