| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.54 |
| Score | 0% | 71% |
A trapezoid is a quadrilateral with one set of __________ sides.
equal length |
|
equal angle |
|
parallel |
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right angle |
A trapezoid is a quadrilateral with one set of parallel sides.
If a = c = 8, b = d = 1, what is the area of this rectangle?
| 8 | |
| 42 | |
| 16 | |
| 21 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 8 x 1
a = 8
If side a = 7, side b = 3, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{58} \) | |
| \( \sqrt{106} \) | |
| \( \sqrt{10} \) | |
| 10 |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 72 + 32
c2 = 49 + 9
c2 = 58
c = \( \sqrt{58} \)
Order the following types of angle from least number of degrees to most number of degrees.
right, acute, obtuse |
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right, obtuse, acute |
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acute, right, obtuse |
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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°.
Simplify (7a)(9ab) + (9a2)(7b).
| 256a2b | |
| 126a2b | |
| 126ab2 | |
| 256ab2 |
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.
(7a)(9ab) + (9a2)(7b)
(7 x 9)(a x a x b) + (9 x 7)(a2 x b)
(63)(a1+1 x b) + (63)(a2b)
63a2b + 63a2b
126a2b