Ad=8x-2 if dh =7x-12 and ah=18x-35 then ad=?

We know that

AD=8x-2

DH =7x-12

AH=18x-35

We need to find AD.

The solution of the question is based on the assumption that the point A, D and H are col-linear, i.e. they lie on the same line

⇒ AD + DH = AH

Substituting the values of AD, DH and AH in terms of x in the above equation, and solving the linear equation.

⇒ 8x-2 + 7x-12 = 18x-35

⇒ 15x-14 = 18x-35

⇒ -3x = -21

⇒ x = 7

Substituting the value of x in 8x-2 to determine the length of AD

AD = 8x-2

⇒ AD = (8×7)-2

⇒ AD = 56-2

⇒ AD = 54

Hence, AD is 54 units

b. x + 1

step-by-step explanation:

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