Please let me know WHY you choose your answers please, I want to understand this more.

A. no

B. yes

C. yes

Step-by-step explanation:

A. not enough information is given other than the fact that ∠E ≡ ∠B (45°)

B. SAS (side angle side). To make ∠ABC into ∠DEF, you need to multiple the side lengths in ∠ABC by 3/2

12/x = 8 rearrange x = 3/2

C. AA (angle angle). ∠A is congruent to ∠Y and this is given by those two lines. ∠B is congruent to∠Z and this given because it has one line. This means that the other angle (C and X) would be congruent.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1