The answer is
-10=-15+5x
x = 1
Check the picture below.
now, we know that the slanted legs are congruent, since it's an isosceles trapezoid, we also know that the bases are the parallel sides, so, the "altitude" or distance from those bases are the same length, for each of those triangles in the picture.
now, the bases are parallel, that means the altitude segment is perpendicular to the base, the longest side at the bottom, so, we end up with a right-triangle that has a Hypotenuse and a Leg, equal to the other triangle's.
thus, by the HL theorem for right triangles, both of those triangles are congruent, and if the triangles are congruent, all their sides are also, including the ones on the base.
Hello,
For the first question, congruent triangles have congruent corresponding angles and sides. For option choice A, MN corresponds with PQ, not PR, so it is incorrect to conclude that they are equal. The answer is A.
For the second question, we are given two angles and an not included side, so it would be AAS.
The answer is A, I believe.
Hope this helps!
AMERICAN POLICE CANT HANDLE THAT