In the parallelogram shown, ae = p − 8, ce = 2p − 58, and de = p + 15. what is the length of line segment eb?
42 units
50 units
65 units
73 units

The first thing we must do is find the value of p.

For this, we use the following equality:

Substituting values we have:

Clearing the value of p we have:

Then, we look for the length of EB.

We know that:

Substituting values we have:

the length of line segment EB is:

65 units

step-by-step explanation: yes

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.