Solve for x. enter your answer in the box. x = a triangle with vertices labeled as a, c, d. side c d is the base and the top vertex is a. side c d is parallel to b e. side a e is labeled as 7x minus 40, side e d is labeled as 18, side c b is labeled as 15, and side a b is labeled as 25.

x = 10

Step-by-step explanation:

In ΔADC

∵ EB // DC

∴ m∠AEB = m∠ADC ⇒ corresponding angles

∴m∠ABE = m∠ACD ⇒ corresponding angles

In the two triangles ADC , AEB

∵ m∠AEB = m∠ADC

∵ m∠ABE = m∠ACD

∵ ∠A is a common angle

∴ ΔADC similar to ΔAEB

∴ AE/AC = AB/AC

∵ AE = 7x - 40 , ED = 18

∴ AD = 7x - 40 + 18 = 7x - 22

∵ AB = 25 , BC = 15

∴ AC = 25 + 15 = 40

∴ (7x - 40)/(7x - 22) = 25/40 ⇒ use cross multiplication

∴ 40(7x - 40) = 25(7x - 22)

∴ 280x - 1600 = 175x - 550

∴ 280x - 175x = 1600 - 550

∴ 105x = 1050

∴ x = 1050 ÷ 105 = 10

c

step-by-step explanation:

c

x= 149. 24+7=31. 180-31=149

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