| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.98 |
| Score | 0% | 60% |
Solve for b:
b + 4 > \( \frac{b}{-3} \)
| b > -3 | |
| b > -\(\frac{15}{16}\) | |
| b > 1\(\frac{8}{41}\) | |
| b > \(\frac{42}{55}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
b + 4 > \( \frac{b}{-3} \)
-3 x (b + 4) > b
(-3 x b) + (-3 x 4) > b
-3b - 12 > b
-3b - 12 - b > 0
-3b - b > 12
-4b > 12
b > \( \frac{12}{-4} \)
b > -3
Which of the following statements about a triangle is not true?
exterior angle = sum of two adjacent interior angles |
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perimeter = sum of side lengths |
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sum of interior angles = 180° |
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area = ½bh |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.
What is 3a8 - 4a8?
| -1a8 | |
| 7a16 | |
| 7 | |
| -a16 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
3a8 - 4a8 = -1a8
If side x = 8cm, side y = 6cm, and side z = 15cm what is the perimeter of this triangle?
| 32cm | |
| 22cm | |
| 23cm | |
| 29cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 8cm + 6cm + 15cm = 29cm
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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same-side interior angles are complementary and equal each other |
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all acute angles 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°).