| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.75 |
| Score | 0% | 55% |
A trapezoid is a quadrilateral with one set of __________ sides.
equal length |
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parallel |
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right angle |
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equal angle |
A trapezoid is a quadrilateral with one set of parallel sides.
The formula for the area of a circle is which of the following?
c = π r |
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c = π d |
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c = π r2 |
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c = π d2 |
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.
If side a = 3, side b = 3, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{52} \) | |
| \( \sqrt{18} \) | |
| \( \sqrt{65} \) | |
| \( \sqrt{128} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 32 + 32
c2 = 9 + 9
c2 = 18
c = \( \sqrt{18} \)
Order the following types of angle from least number of degrees to most number of degrees.
right, acute, obtuse |
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acute, right, obtuse |
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right, obtuse, acute |
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acute, obtuse, right |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Find the value of b:
-8b + x = -6
-7b - 7x = 6
| -3\(\frac{1}{4}\) | |
| \(\frac{4}{7}\) | |
| -1 | |
| \(\frac{17}{31}\) |
You need to find the value of b so solve the first equation in terms of x:
-8b + x = -6
x = -6 + 8b
then substitute the result (-6 - -8b) into the second equation:
-7b - 7(-6 + 8b) = 6
-7b + (-7 x -6) + (-7 x 8b) = 6
-7b + 42 - 56b = 6
-7b - 56b = 6 - 42
-63b = -36
b = \( \frac{-36}{-63} \)
b = \(\frac{4}{7}\)