| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.87 |
| Score | 0% | 57% |
A trapezoid is a quadrilateral with one set of __________ sides.
equal length |
|
right angle |
|
equal angle |
|
parallel |
A trapezoid is a quadrilateral with one set of parallel sides.
Simplify (y + 4)(y + 2)
| y2 + 6y + 8 | |
| y2 - 2y - 8 | |
| y2 + 2y - 8 | |
| y2 - 6y + 8 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 4)(y + 2)
(y x y) + (y x 2) + (4 x y) + (4 x 2)
y2 + 2y + 4y + 8
y2 + 6y + 8
The dimensions of this trapezoid are a = 4, b = 9, c = 7, d = 9, and h = 3. What is the area?
| 27 | |
| 6 | |
| 13\(\frac{1}{2}\) | |
| 18 |
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(9 + 9)(3)
a = ½(18)(3)
a = ½(54) = \( \frac{54}{2} \)
a = 27
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 |
|
obtuse, acute |
|
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).
Solve for c:
-2c - 7 < \( \frac{c}{9} \)
| c < -14 | |
| c < \(\frac{1}{2}\) | |
| c < -3\(\frac{6}{19}\) | |
| c < -1\(\frac{1}{24}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
-2c - 7 < \( \frac{c}{9} \)
9 x (-2c - 7) < c
(9 x -2c) + (9 x -7) < c
-18c - 63 < c
-18c - 63 - c < 0
-18c - c < 63
-19c < 63
c < \( \frac{63}{-19} \)
c < -3\(\frac{6}{19}\)