The work of a student to solve the equation 3(2x − 4) = 8 + 2x + 6 is shown below:
step 1: 3(2x − 4) = 8 + 2x + 6
step 2: 5x − 7 = 14 + 2x
step 3: 5x − 2x = 14 + 7
step 4: 3x = 21
step 5: x = 7
in which step did the student first make an error and what is the correct step?
step 2; 6x − 12 = 14 + 2x
step 2; 6x − 7 = 2(6 + x + 4)
step 3; 5x − 2x = 14 − 7
step 3; 5x + 2x = 14 + 7

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.

Which of the following circles have their centers on the x-axis? check all that apply.

Triangle xyz, with vertices x(-2, 0), y(-2, -1), and z(-5, -2), undergoes a transformation to form triangle x′y′z′, with vertices x′(4, -2), y′(4, -3), and z′(1, -4). the type of transformation that triangle xyz undergoes is a . triangle x′y′z′ then undergoes a transformation to form triangle x′y′z′, with vertices x″(4, 2), y″(4, 3), and z″(1, 4). the type of transformation that triangle x′y′z′ undergoes is a .