In triangle def, if angle d is congruent to angle e, de= x + 4, ef= 4x - 8, and df= 7x - 35 find x and the measure of each side

If angle D is congruent to angle E, then the triangle DFE is an isosceles triangle (look at the picture).

Therefore DF ≅ EF.

DE = x + 4, EF = 4x - 8, DF = 7x - 35

The equation:

7x - 35 = 4x - 8       add 35 to both sides

7x = 4x + 27       subtract 4x from both sides

3x = 27        divide both sides by 3

x = 9

DE = x + 4 → DE = 9 + 4 = 13

EF = 4x - 8 → EF = 4(9) - 8 = 36 - 8 = 28

DF = 7x - 35 → DF = 7(9) - 35 = 63 - 35 = 28

i not know

step-by-step explanation:

(w – 2.5)(w + 2.5)

(–4v – 9)(–4v + 9)

step-by-step explanation: