# Tutor profile: Lily A.

## Questions

### Subject: Geometry

The roof of a treehouse is in the shape of a triangle. If one of the angles of the roof is equal to 35 degrees and another angle of the roof is equal to 40 degrees, what is the value of the third angle of the roof?

Since we know the angles of a triangle always sum to 180 degrees, and we also know one of the roof's angles is equal to 35 degrees and another angle of the roof is equal to 40 degrees, we can find the value of the third angle of the roof by solving: 180 - 35 - 40 = 105 The third angle of the roof is equal to 105 degrees.

### Subject: Pre-Algebra

Two dogs have 5 dog treats. One of the dogs has 3 dog treats. How many dog treats does the other dog have?

If there are 5 dog treats total, and one of the dogs has 3 dog treats, we can find how many dog treats the other dog has by solving: 5 - 3 = 2 The other dog has 2 dog treats.

### Subject: Algebra

A scientist pours 47 mL of a solution into a beaker. This is 17 mL more than twice the amount of solution she poured into a previous beaker. How many mL did the scientist pour into the previous beaker?

First, we need to set up the equation. Starting with what we know, we can write the expression: 2x+17 = 47 Because 47 mL is 17 mL MORE than TWICE the amount of solution poured into the previous beaker. Solve: Subtracting 17 from each side yields 2x = 30 Dividing each side by 2 yields x = 15 The scientist poured 15 mL into the previous beaker.

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