Question

2 more geometry questions for 15 points and a brainliest if correct

Answer 1

Answer:

1. x = 5

Step-by-step explanation:

1.

The Trapezoid Midsegment Theorem states that a line segment connecting the midpoints of the legs of the trapezoid is parallel to the bases, and equal to half their sum.

In this problem you can see that 5x - 1 is the midsegment of the trapezoid, so using the rule:

$(21 + 27) / 2 = 5x -1$

solve:

$48/2 = 5x-1\\24 = 5x - 1\\25 = 5x\\x= 5$

2. Diagonals are congruent

You can see in this picture that the diagonals are not always congruent: