5+2x = -27/8
How explain​

x = -4 3/16.

Step-by-step explanation:

First, convert -27/8 to a mixed number. -3 3/8.

So we can take 5 + 2x = -3 3/8 and subtract 5 from both sides (to get rid of the 5 on the left)

The equation turns into this: 2x = -8 3/8.

Now we can divide by 2 on both sides.

The equation becomes x = -4 3/16.

Hope this helps!

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)

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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