Sneha A.

Tutor at various schools, strength is pre-algebra

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Geometry

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Question:

What is the difference between the converse of an angles theorem and an angle theorem?

Sneha A.

Answer:

The converse of an angles theorem= The relationship between two angles results in two lines being proved as parallel Angle theorem= Two lines being parallel result in a relationship between two angles.

Pre-Algebra

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Question:

Find the slope of a line with the coordinates (3,-1) and (2,3)

Sneha A.

Answer:

Because of rise over run, we subtract y12(3) from -1 (y1). 3--1 would cancel out into a positive, making it 3+1=4. 4 is the change in 4. Now for the change in x, subtract 2 (x2) by 3 (x1) which is -1. Slope is change is y/change in x, so divide 4 by -1. A positive divided by a negative is equal to a negative, so the slope of the give line is -4.

Algebra

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Question:

Solve the equation: 5(-3x - 2) - (x - 3) = -4(4x + 5) + 13

Sneha A.

Answer:

Given the equation 5(-3x - 2) - (x - 3) = -4(4x + 5) + 13 Multiply factors. -15x - 10 - x + 3 = -16x - 20 +13 Group like terms. -16x - 7 = -16x - 7 Add 16x + 7 to both sides and write the equation as follows 0 = 0 The above statement is true for all values of x and therefore all real numbers are solutions to the given equation.

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