Question

can someone please help me find the answer to the following

Answer 1

In order to calculate the length of the mid-segment of a trapezoid we can use the following formula:

$m=\frac{a+b}{2}$

Where m is the length of the midsegment, a and b are the lengths of the top and bottom bases.

By replacing x for m, 22 for a and 4 for b, we get:

$x=\frac{22+4}{2}=\frac{26}{2}=13$

Then, x equals 13

The midsegment splits the side BC into two equal-length segments, BM and MC, then the lengths of these segments is the same and we can formulate the following expression:

BM = MC

BM = 8

As mentioned, segment BC is formed by segments BM and MC, then by summing up the lengths of these two segments we get the length of BC, like this:

BC = BM + MC

BC = 8 + 8

BC = 16

Then, BC equals 16

For isosceles triangles, angles in opposite bases are supplementary, then we can formulate the following expression:

mmm

Then, ADC equals 115°