Please assist me with the trapezoid problems

Problem 4

a)

MR = AG is a true statement because MARG is an isosceles trapezoid. The diagonals of any isosceles trapezoid are always the same length.

b)

MA = GR is false. Parallel sides in a trapezoid are never congruent (otherwise you'll have a parallelogram).

c)

MR and AG do NOT bisect each other. The diagonals bisect each other only if you had a parallelogram.

Problem 5

a)

LC = AJ (nonparallel sides of isosceles trapezoid are always the same length)

x^2 = 25

x = sqrt(25)

b)

LU = 25

UC = 25 because point U cuts LC in half

LC = LU+UC = 25+25 = 50

AJ = LC = 50 (nonparallel sides of isosceles trapezoid are always the same length)

AS = (1/2)*AJ

AS = (1/2)*50

c)

angle LCA = 71

angle CAJ = 71 (base angles of isosceles trapezoid are always congruent)

(angleAJL)+(angleCAJ) = 180

(angleAJL)+(71) = 180

angle AJL = 180-71

$450

step-by-step explanation:

first, you have to multiply 150x2=300

next, you have to add 150+300= 450