# Tutor profile: Karrie G.

## Questions

### Subject: Geometry

If <ABC and <DEF are supplementary angles and <ABC is 102, what is the measure of <DEF?

1. Supplementary angles are angles that must add up to 180 <ABC + <DEF = 180 2. We are given measure of ABC and we can substitute 102 + <DEF = 180 3. Solve for <DEF <DEF = 180 - 102 <DEF = 78 - Final Answer

### Subject: Pre-Algebra

Find the Greatest Common Factor (GCF) of 18 and 24

1. Find the prime factors of each number using a factor tree 18: 2 x 9 9 -> 3 x 3 18: 2 x 3 x 3 24: 2 x 12 12 -> 2 x 6 6 -> 2 x 3 24: 2 x 2 x 2 x 3 2. Find the numbers that they have in common : 2 and 3 3. Multiply the numbers that they have in common : 2 x 3 = 6 , 6 is the GCF

### Subject: Algebra

Write an equation of the line with slope 5 and x-intercept (-4,2)

A line with slope m and passes through a point (a,b) has an equation in the form of y-b = m (x-a) Using the given slope and point, we can write the equation of the line y-2=5(x-(-4)) Expand the equation by distributing the 5: y-2=5x-(-20) --> y-2 = 5x +20 Simplify by combining like terms and make the equation in the form of "y=...": y=5x+22