Given trapezoids qrst and wxyz, which statement explains a way to determine if the two figures are similar?
a. verify corresponding pairs of sides are congruent by translation.
b. verify corresponding pairs of angles are proportional by translation.
c. verify corresponding pairs of sides are proportional by dilation.
d. verify corresponding pairs of angles are congruent by dilation.

the answer is C, all sides must be proportional to a specific factor, or the dilation

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

answer: 1) twenty-seven times y

              2) twenty-seven multiplied by y