| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
supplementary, vertical |
|
acute, obtuse |
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obtuse, acute |
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vertical, supplementary |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
Find the value of b:
9b + x = 8
-8b + 8x = -6
| \(\frac{7}{8}\) | |
| -\(\frac{8}{15}\) | |
| \(\frac{1}{2}\) | |
| 2\(\frac{5}{17}\) |
You need to find the value of b so solve the first equation in terms of x:
9b + x = 8
x = 8 - 9b
then substitute the result (8 - 9b) into the second equation:
-8b + 8(8 - 9b) = -6
-8b + (8 x 8) + (8 x -9b) = -6
-8b + 64 - 72b = -6
-8b - 72b = -6 - 64
-80b = -70
b = \( \frac{-70}{-80} \)
b = \(\frac{7}{8}\)
Simplify (2a)(3ab) + (5a2)(5b).
| -19ab2 | |
| -19a2b | |
| 50ab2 | |
| 31a2b |
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.
(2a)(3ab) + (5a2)(5b)
(2 x 3)(a x a x b) + (5 x 5)(a2 x b)
(6)(a1+1 x b) + (25)(a2b)
6a2b + 25a2b
31a2b
What is 8a + 4a?
| a2 | |
| 4 | |
| 12a | |
| 32a |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
8a + 4a = 12a
What is the circumference of a circle with a radius of 6?
| 2π | |
| 6π | |
| 19π | |
| 12π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 6)
c = 12π