| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.36 |
| Score | 0% | 47% |
Solve for c:
c - 1 < -2 - 5c
| c < -1\(\frac{2}{5}\) | |
| c < -\(\frac{1}{6}\) | |
| c < 1\(\frac{3}{5}\) | |
| c < -7 |
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.
c - 1 < -2 - 5c
c < -2 - 5c + 1
c + 5c < -2 + 1
6c < -1
c < \( \frac{-1}{6} \)
c < -\(\frac{1}{6}\)
If the length of AB equals the length of BD, point B __________ this line segment.
intersects |
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midpoints |
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trisects |
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bisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
If side a = 5, side b = 4, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{98} \) | |
| \( \sqrt{13} \) | |
| \( \sqrt{41} \) | |
| \( \sqrt{65} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 52 + 42
c2 = 25 + 16
c2 = 41
c = \( \sqrt{41} \)
The formula for the area of a circle is which of the following?
c = π d |
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c = π d2 |
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c = π r2 |
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c = π r |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
The dimensions of this trapezoid are a = 5, b = 6, c = 6, d = 4, and h = 3. What is the area?
| 15 | |
| 16\(\frac{1}{2}\) | |
| 30 | |
| 13 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(6 + 4)(3)
a = ½(10)(3)
a = ½(30) = \( \frac{30}{2} \)
a = 15