| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.69 |
| Score | 0% | 74% |
If angle a = 67° and angle b = 44° what is the length of angle d?
| 120° | |
| 113° | |
| 133° | |
| 150° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 67° - 44° = 69°
So, d° = 44° + 69° = 113°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 67° = 113°
Simplify 3a x 7b.
| 21a2b2 | |
| 21\( \frac{a}{b} \) | |
| 21ab | |
| 10ab |
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.
3a x 7b = (3 x 7) (a x b) = 21ab
What is 6a + 3a?
| 18a2 | |
| 9 | |
| 9a | |
| a2 |
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.
6a + 3a = 9a
What is 6a - 8a?
| -2a2 | |
| -2 | |
| 48a | |
| -2a |
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.
6a - 8a = -2a
If side a = 3, side b = 6, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{10} \) | |
| \( \sqrt{68} \) | |
| \( \sqrt{90} \) | |
| \( \sqrt{45} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 32 + 62
c2 = 9 + 36
c2 = 45
c = \( \sqrt{45} \)