Determine the equation of the perpendicular bisector of a segment with endpoints (–3, –1) and (3, 5).

y = -x + 2.

Step-by-step explanation:

The slope of the line joining the 2 points = (5 - -1)/(3- -3)

= 6/6 = 1

So the slope of the perpendicular bisector = -1/1 = -1.

The centre of the line segment is at the point (-3+3)/2,  (-1+5)/2

= (0, 2)

So the required equation is:

y - 2 = -1(x - 0)

y - 2 = -x

y = -x + 2.

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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