# Tutor profile: Katie P.

## Questions

### Subject: Geometry

Angles A and B are complementary. The measure of angle A is three times the measure of angle B. What are the measures of angles A and B?

Complementary angles are two angles that sum up to 90 degrees. In order to find the measures of the angles, we can create two simple equations. A + B = 90 3A = B Now, substitute the second equation or the value of B (3A) in the first equation: A + 3A = 90 4A = 90 A = 22.5 Now solve for B. 22.5 + B = 90 B = 67.5

### Subject: Psychology

When Kayla saw a man that fell on his motorcycle on the side of the road lying in discomfort, she prepared to offer him help. When she noticed that several other people continued to walk past the man, so she believed the man did not need help. Kayla's reaction most clearly represents what social psychology phenomenon?

Bystander effect. The bystander effect is a social psychological phenomenon that explains why individuals do not offer help or support to a victim when other people are present in the vicinity. This is due to the individual's underlying belief that if the victim was in need of help, someone else would have already offered it.

### Subject: Algebra

Chloe is three times older than Andrea. Britney is two years older than Andrea. In six years, the sum of Andrea and Britney's ages will be the same as Chloe's. How old is Chloe?

To solve the following algebraic question, separate each piece of information, and formulate into an equation using different variables (A, B, and C) for the ages of Andrea, Britney, and Chloe. C = 3A --> Chloe is 3x older than Andrea B = A + 2 --> Britney is two years older than Andrea (A + 6) + (B + 6) = C + 6 --> In 6 yrs, sum of Andrea and Britney's ages will be same as Chloe's We have now created a system of equations. The first two equations are already solved for the variables C and B, so use these equations and substitute C and B in the third equation. Lastly, solve for A. (A + 6) + (B + 6) = C + 6 (A + 6) + [(A + 2) + 6)} = (3A) + 6 (A + 6) + (A + 8) = 3A + 6 2A + 14 = 3A +6 A = 8 Andrea is 8 years old. Carol is three times Andrea's age, so multiple 8 by 3. Therefore, Carol is 24 years old.

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