Podcast
Questions and Answers
What is the degree measure of a right angle?
What is the degree measure of a right angle?
90°
What is the degree measure of a straight angle?
What is the degree measure of a straight angle?
180°
Define obtuse triangle.
Define obtuse triangle.
A triangle that has one angle with a measure greater than 90°.
Define scalene triangle.
Define scalene triangle.
What is the name of the parallelogram that has four right angles?
What is the name of the parallelogram that has four right angles?
What name is given to polygons whose sides all have the same length and whose angles all have the same measure?
What name is given to polygons whose sides all have the same length and whose angles all have the same measure?
What is the sum of the measures of the three angles of any triangle?
What is the sum of the measures of the three angles of any triangle?
The radius of a circle is 5 centimeters. Find the circumference of the circle.
The radius of a circle is 5 centimeters. Find the circumference of the circle.
What is another name for the set of counting numbers?
What is another name for the set of counting numbers?
The perimeter of a square is 24 meters. What is the length of one side of the square?
The perimeter of a square is 24 meters. What is the length of one side of the square?
Find x if 40 = 90 + 130.
Find x if 40 = 90 + 130.
Find the perimeters of the following figures. Corners that look square are square. Dimensions are in meters.
Find the perimeters of the following figures. Corners that look square are square. Dimensions are in meters.
Add, subtract, multiply, or divide as indicated. Write the answers as proper fractions reduced to lowest terms or as mixed numbers.
Add, subtract, multiply, or divide as indicated. Write the answers as proper fractions reduced to lowest terms or as mixed numbers.
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Study Notes
Angles and Triangles
- A right angle measures 90°.
- A straight angle measures 180°.
- An obtuse triangle contains one angle greater than 90°.
- A scalene triangle has no sides of equal length.
- The sum of the angles in any triangle is 180°.
Polygons
- A rectangle is a type of parallelogram with four right angles.
- Regular polygons have all sides of equal length and all angles of equal measure.
Circle Geometry
- The circumference of a circle with a radius of 5 centimeters is calculated as C = 2πr, yielding 10π cm.
Number Sets
- Natural numbers refer to the set of counting numbers.
Perimeter Calculations
- The perimeter of a square with a total perimeter of 24 meters results in individual side lengths of 6 meters, calculated as side length = Perimeter / 4.
- To find the perimeter of a figure with given dimensions (12 m, 16 m, 8 m, 6 m, 4 m, 22 m), the total perimeter is 68 m.
Algebraic Solutions
- For the equation 40 = 90 + 130, solving for x gives x = 180 - 130, resulting in x = 50.
- When adding and simplifying, the expression (6 + 8 + 6 + 2π(4)) / 2 simplifies to (20 + 4π) m.
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