| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.19 |
| Score | 0% | 64% |
If angle a = 53° and angle b = 33° what is the length of angle c?
| 116° | |
| 107° | |
| 77° | |
| 94° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 53° - 33° = 94°
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Inside |
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Last |
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First |
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Odd |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.
Solve -6b - 6b = 2b - 9z - 5 for b in terms of z.
| -1\(\frac{4}{5}\)z - \(\frac{1}{5}\) | |
| \(\frac{3}{8}\)z + \(\frac{5}{8}\) | |
| 2\(\frac{1}{2}\)z + \(\frac{1}{2}\) | |
| -4z - 4 |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
-6b - 6z = 2b - 9z - 5
-6b = 2b - 9z - 5 + 6z
-6b - 2b = -9z - 5 + 6z
-8b = -3z - 5
b = \( \frac{-3z - 5}{-8} \)
b = \( \frac{-3z}{-8} \) + \( \frac{-5}{-8} \)
b = \(\frac{3}{8}\)z + \(\frac{5}{8}\)
A quadrilateral is a shape with __________ sides.
3 |
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2 |
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4 |
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5 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
Which of the following statements about parallel lines with a transversal is not correct?
angles in the same position on different parallel lines are called corresponding angles |
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all acute angles equal each other |
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same-side interior angles are complementary and equal each other |
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all of the angles formed by a transversal are called interior angles |
Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).