ANSWERS: 1
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Make a diagram. A---------B-----------C----------D---------E AB is equivalent to BC, and CD is equivalent to DE. Line segment BD is equal to 5x+3, and is composed of segments BC and CD. BC is congruent to AB, and CD is congruent to DE. Therefore, BD is equivalent to AB + DE. Since BD = AB + DE, and BD = 5x + 3, we can say that the entire segment AE is equal to 2(5x + 3). Since AE is also equal to 4x + 18, we can form the following equation: 2(5x + 3) = 4x + 18 Then distribute: 10x +6 = 4x + 18 And solve: 10x = 4x + 12 6x = 12 x = 2 There's your answer. Check by plugging back into the original equations.
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