42°
Step-by-step explanation:

(Angles in linear pair)



(Angle sum postulate of a triangle)



(corresponding angles)

(vertical angles)


Answer:
36
Step-by-step explanation:
x^2 + 12 x = 40
To complete the square, take the coefficient of the x term
12
Divide by 2
12/2 = 6
Square it
6^2 = 36
Add 36 to each side
Answer:
3/1
Step-by-step explanation:
Using the similarity statement, ∠A corresponds with ∠D; ∠B corresponds with ∠E; and ∠C corresponds with ∠F.
The only angle of triangle DEF we have is ∠E, which is 7. This corresponds with ∠B; this makes the scale factor of ABC to DEF
21/7 = 3/1.