Podcast
Questions and Answers
What is the measure of angle A if it is formed by two intersecting lines creating vertical angles?
What is the measure of angle A if it is formed by two intersecting lines creating vertical angles?
- 90 degrees (correct)
- 60 degrees
- 150 degrees
- 45 degrees
If angle B measures 30 degrees, what is the measure of its corresponding angle on the opposite line?
If angle B measures 30 degrees, what is the measure of its corresponding angle on the opposite line?
- 120 degrees
- 60 degrees
- 30 degrees
- 150 degrees (correct)
What is the sum of the measures of angles C and D formed by a transversal cutting through parallel lines?
What is the sum of the measures of angles C and D formed by a transversal cutting through parallel lines?
- 180 degrees (correct)
- 90 degrees
- 360 degrees
- 270 degrees
If angle E measures 120 degrees, what is the measure of the interior angle on the same side of the transversal?
If angle E measures 120 degrees, what is the measure of the interior angle on the same side of the transversal?
What is the measure of angle F if it is an alternate interior angle corresponding to angle G, which is 75 degrees?
What is the measure of angle F if it is an alternate interior angle corresponding to angle G, which is 75 degrees?
Flashcards
Angle Measure
Angle Measure
The measure of an angle expressed in degrees or radians.
Complementary Angles
Complementary Angles
Two angles whose measures add up to 90 degrees.
Supplementary Angles
Supplementary Angles
Two angles whose measures add up to 180 degrees.
Vertical Angles
Vertical Angles
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Adjacent Angles
Adjacent Angles
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Study Notes
Translating Words to Mathematical Expressions
- Key words and phrases indicate mathematical operations (addition, subtraction, multiplication, division).
- Common verbal expressions and their corresponding mathematical expressions for addition, subtraction, multiplication, division are provided.
Solving Equations from Verbal Information
- Translate verbal sentences into equations using variables.
- Examples demonstrate translating different types of verbal sentences.
- Key steps for solving problems include:
- Read the problem carefully, identify the given information.
- Assign a variable to the unknown.
- Write an equation using variable expressions.
- Solve the equation.
- State the answer with appropriate labels.
- Check the answer in the original problem.
Solving Perimeter Problems
- Use formulas to write equations representing perimeter of rectangles.
- Examples demonstrate finding width and length of rectangles, given perimeter information.
Solving Percent Problems
- Example problem showing how to find the health expenditure from 1990 given the 2015 health expenditure and increase rate.
- Assign variables to represent unknowns.
-
Write equations based on the given information.
- Solve the equations.
- State answers with relevant units.
Solving Investment Problems
- Use a table to organize given information for investment problems.
- Examples demonstrate finding invested amounts at different interest rates.
- Formula for interest is I = prt where time is 1 year.
Solving Mixture Problems
- Use tables to solve mixture problems.
- Example problem showing how to solve for the amount of 70% solution needed to mix with 40% solution to get a 50% solution.
Solving Problems about Angles
- The sum of the angles in a triangle is 180 degrees.
Solving Problems about Consecutive Integers
- Consecutive integers differ by 1.
- Consecutive even integers differ by 2.
- Consecutive odd integers differ by 2.
- Example problems show how to write and solve equations involving consecutive integers.
Money Denomination Problems
- Use variables to represent the number of coins or bills.
- Organize information in a table for each denomination.
- Write equations, clear parentheses and solve the equations.
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