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5. if a(x, 1), b(-3,7), c(-5,9), and d(5, 4).
find the value of x so that ab || cd.
find the slope of cd
since ab isparalkl to cd,
set that slope = to ab
and solve for x .
7-1

Step-by-step explanation:

C(-5,9), and D(5, 4)

Slope  = y₂ - y₁/ x₂-x₁

    m1 = 4 - 9 / 5- [-5]

         = -5 / 5+5  = -5/10 = -1/2

    m1 = -1/2

A(x, 1), B(-3,7)

Slope of AB m2 =  7- 1 / -3 - x  = 6/ -3-x

As AB  || CD, m2 = m1

                  6/-3-x = -1/2

                  6*2      = -1 * (-3-x)        {cross multiplication}

                          12 = (-1 * -3) - x * -1

                 3 + x = 12

                       x = 12 - 3

                       x = 9

i think the correct answer is f