| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
Solve for x:
-5x + 8 < \( \frac{x}{-4} \)
| x < 1\(\frac{13}{19}\) | |
| x < -1\(\frac{5}{7}\) | |
| x < -\(\frac{27}{64}\) | |
| x < -\(\frac{2}{9}\) |
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.
-5x + 8 < \( \frac{x}{-4} \)
-4 x (-5x + 8) < x
(-4 x -5x) + (-4 x 8) < x
20x - 32 < x
20x - 32 - x < 0
20x - x < 32
19x < 32
x < \( \frac{32}{19} \)
x < 1\(\frac{13}{19}\)
A quadrilateral is a shape with __________ sides.
5 |
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3 |
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2 |
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4 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
Simplify (5a)(7ab) + (9a2)(6b).
| 180ab2 | |
| 89a2b | |
| 180a2b | |
| 19ab2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(5a)(7ab) + (9a2)(6b)
(5 x 7)(a x a x b) + (9 x 6)(a2 x b)
(35)(a1+1 x b) + (54)(a2b)
35a2b + 54a2b
89a2b
Which of the following statements about parallel lines with a transversal is not correct?
all acute angles equal each other |
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angles in the same position on different parallel lines are called corresponding angles |
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all of the angles formed by a transversal are called interior angles |
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same-side interior angles are complementary and equal each other |
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°).
What is the circumference of a circle with a radius of 2?
| 8π | |
| 12π | |
| 4π | |
| 38π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 2)
c = 4π