| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
What is 5a3 + 2a3?
| a36 | |
| 3a6 | |
| 7a3 | |
| 10a3 |
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.
5a3 + 2a3 = 7a3
The dimensions of this trapezoid are a = 6, b = 7, c = 8, d = 5, and h = 4. What is the area?
| 13\(\frac{1}{2}\) | |
| 24 | |
| 11 | |
| 30 |
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(7 + 5)(4)
a = ½(12)(4)
a = ½(48) = \( \frac{48}{2} \)
a = 24
If side x = 15cm, side y = 15cm, and side z = 13cm what is the perimeter of this triangle?
| 34cm | |
| 43cm | |
| 33cm | |
| 29cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 15cm + 15cm + 13cm = 43cm
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
obtuse, acute |
|
vertical, supplementary |
|
supplementary, vertical |
|
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).
Which of the following statements about a triangle is not true?
sum of interior angles = 180° |
|
exterior angle = sum of two adjacent interior angles |
|
perimeter = sum of side lengths |
|
area = ½bh |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.