Triangle efd has the measure of angle efd equal to 60 degrees. g is a point on side df. points e and g are joined by a straight line. angle deg measures 60 degrees.

make a two-column proof showing statements and reasons to prove that triangle def is similar to triangle deg.

Step-by-step explanation:

Given: ∠DEG ≅ ∠EFG ≅ 60°

To Prove : ΔDEF is similar to ΔDEG

Proof : ∠DEG ≅ ∠EFG ≅ 60°    [Given]

Let ∠ GEF = x°

Then ∠EGD = (60+x)°    Since exterior angle of a triangle is equal                to the sum of opposite interior angles.

Now in ΔDEF and ΔDEG attached in the figure,

∠DEF ≅ ∠EGD ≅ (60 + x)°

∠D is common in both the triangles.

∠EFD ≅ ∠DEG ≅ 60°

Hence  ΔDEF and ΔDEG are similar.            

28

step-by-step explanation:

8+8+6+6

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: