| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.90 |
| Score | 0% | 58% |
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
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right, obtuse, acute |
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acute, obtuse, right |
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right, acute, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Solve 9a - 7a = 7a + 8x - 1 for a in terms of x.
| \(\frac{3}{4}\)x - 2\(\frac{1}{4}\) | |
| x - 3 | |
| 7\(\frac{1}{2}\)x - \(\frac{1}{2}\) | |
| 2x - 3 |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
9a - 7x = 7a + 8x - 1
9a = 7a + 8x - 1 + 7x
9a - 7a = 8x - 1 + 7x
2a = 15x - 1
a = \( \frac{15x - 1}{2} \)
a = \( \frac{15x}{2} \) + \( \frac{-1}{2} \)
a = 7\(\frac{1}{2}\)x - \(\frac{1}{2}\)
Simplify (6a)(7ab) + (6a2)(2b).
| 104ab2 | |
| 54a2b | |
| -30a2b | |
| -30ab2 |
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.
(6a)(7ab) + (6a2)(2b)
(6 x 7)(a x a x b) + (6 x 2)(a2 x b)
(42)(a1+1 x b) + (12)(a2b)
42a2b + 12a2b
54a2b
If side a = 6, side b = 9, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{37} \) | |
| \( \sqrt{74} \) | |
| \( \sqrt{58} \) | |
| \( \sqrt{117} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 62 + 92
c2 = 36 + 81
c2 = 117
c = \( \sqrt{117} \)
A(n) __________ is to a parallelogram as a square is to a rectangle.
trapezoid |
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triangle |
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rhombus |
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quadrilateral |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.