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Option D: is the correct answer.

Step-by-step explanation:

Given points are:

P(-8,5) and Q(-2,1)

Slope is the steepness of a straight line.

We will find slope of PQ

The product of slopes of two perpendicular lines is equal to -1.

Let,

x be the slope of other line.

m.x = -1

Therefore,

The slope of a line perpendicular to the line PQ is .

Hence,

Option D: is the correct answer.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

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