Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. x^2+5/4x

Let's work backwards.

The answer will be in the form (x+a)^2 for any real number a

Now the expansion will be x^2+2ax+a^2.

We can see just from this that 2a=5/4

a=5/8

The result binomial should be x+5/8

Resulting binomial squared expansion should be x^2+5/4x+25/64

The term we need to add will be 25/64

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)