| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
If side x = 7cm, side y = 15cm, and side z = 13cm what is the perimeter of this triangle?
| 35cm | |
| 28cm | |
| 30cm | |
| 16cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 7cm + 15cm + 13cm = 35cm
The dimensions of this trapezoid are a = 6, b = 2, c = 7, d = 2, and h = 4. What is the area?
| 8 | |
| 26 | |
| 32\(\frac{1}{2}\) | |
| 27\(\frac{1}{2}\) |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(2 + 2)(4)
a = ½(4)(4)
a = ½(16) = \( \frac{16}{2} \)
a = 8
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
obtuse, acute |
|
supplementary, vertical |
|
vertical, supplementary |
|
acute, obtuse |
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).
Factor y2 - 5y - 6
| (y - 6)(y - 1) | |
| (y + 6)(y + 1) | |
| (y + 6)(y - 1) | |
| (y - 6)(y + 1) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -6 as well and sum (Inside, Outside) to equal -5. For this problem, those two numbers are -6 and 1. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 5y - 6
y2 + (-6 + 1)y + (-6 x 1)
(y - 6)(y + 1)
What is 6a + 9a?
| -3 | |
| a2 | |
| -3a2 | |
| 15a |
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 + 9a = 15a