To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.

-7z + 9 < \( \frac{z}{-8} \)
-8 x (-7z + 9) < z
(-8 x -7z) + (-8 x 9) < z
56z - 72 < z
56z - 72 - z < 0
56z - z < 72
55z < 72
z < \( \frac{72}{55} \)
z < 1\(\frac{17}{55}\)

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

3a - 2 = \( \frac{a}{9} \)
9 x (3a - 2) = a
(9 x 3a) + (9 x -2) = a
27a - 18 = a
27a - 18 - a = 0
27a - a = 18
26a = 18
a = \( \frac{18}{26} \)
a = \(\frac{9}{13}\)

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.