Find the value of X, then find AB and DC. (opposite sides are congruent)
AB= 3x+8
DC= x+12

x = 2

AB = 14

DC = 14

Step-by-step explanation:

If opposite sides are congruent, then:

AB = DC

AB = 3x + 8

DC = x + 12

Thus:

3x + 8 = x + 12

Collect like terms

3x - x = -8 + 12

2x = 4

Divide both sides by 2

x = 2

AB = 3x + 8

Plug in the value of x

AB = 3(2) + 8 = 14

DC = x + 12

Plug in the value of x

DC = 2 + 12 = 14

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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step-by-step explanation: