Solve each absolute value equation or inquality and choose the correct answer from the choices provided.

lxl + 5 = 18

a- 5 or -5
b- 13 or -13
c- 18 or -18
d- 23 or -23



l y + 4 l < 1

a- -5 < y < -3
b- -3 < y < 5
c- -4 < y < 1
d- 1 < y < 4



l 2t l - 5 = 7

a- t = 1 or -1
b- t = 6 or -6
c- t = 10 or -10
d- t = 12 or -12

In trapezoid abcd, ac is a diagonal and ∠abc≅∠acd. find ac if the lengths of the bases bc and ad are 12m and 27m respectively.

Given the equation y − 4 = three fourths(x + 8) in point-slope form, identify the equation of the same line in standard form. −three fourthsx + y = 10 3x − 4y = −40 y = three fourthsx + 12 y = three fourthsx + 10

Use the following statements to write a compound statement for the conjunction or disjunction. then find its truth value. p: an isosceles triangle has two congruent sides. q: a right angle measures 90° r: four points are always coplanar. s: a decagon has 12 sides. a) a right angle measures 90° or an isosceles triangle has two congruent sides; true. b) a right angle measures 90° and an isosceles triangle has two congruent sides; true. c) a right angle measures 90° and an isosceles triangle does not have two congruent sides; false. d) a right angle measures 90° or an isosceles triangle does not have two congruent sides; true.