Explain how you would construct a perpendicular bisector of line segment wx using a compass and a straightedge.

Steps to Construct a Perpendicular Bisector of line segment are as follows:

Step 1 : Draw the line segment of given

             length or any length.

Step 2 : With W as center, using compass, draw a circle ( or two

              arcs one above line and one below line ) . The radius of

              circle ( or arcs ) should be more than half the length of

              .

Step 3 : With the same radius and with X as center, draw

             another circle (or arcs) using compass. Let it cut the

             previous circle (or arcs) at A and B.

Step 4 : Join . It cuts at O.

Therefore, is perpendicular bisector of

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.

the answer will be the last one