EXPLANATION = BRAINLIEST

x = ___ units

Step-by-step explanation:

It is given that lines (BE) and (CD) are parallel, thus (<AEB) and (EDC) are congruent by alternate interior angles theorem. Moreover, (<A) is shared between the two triangles, therefore it is also congruent. Hence, triangles (ABE) and (ACD) are similar by (angle-angle) similarity.

Side (AD) is composed of segments (AE) and (ED), therefore one can find the total measure of segment (AD):

AD = AE + ED

AD = 7x - 40 + 18

AD = 7x - 22

Side (AC) is made of segments (AB) and (BC), thus one can find the total length of the side (AC) by adding these two segments:

AC = AB + BC

AC = 63 + 7

AC = 70

When two triangles are similar, the ratios of the sides are equal. Therefore, one can make the following statement:

Substitute,

Cross products,

Distribute,

Inverse operations,

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

there is no question content here, but you for the free points! : d