| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.11 |
| Score | 0% | 62% |
A(n) __________ is to a parallelogram as a square is to a rectangle.
trapezoid |
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rhombus |
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triangle |
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quadrilateral |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Solve for a:
a2 - 13a - 4 = -5a + 5
| 8 or 7 | |
| -1 or 9 | |
| 5 or 3 | |
| 9 or -9 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
a2 - 13a - 4 = -5a + 5
a2 - 13a - 4 - 5 = -5a
a2 - 13a + 5a - 9 = 0
a2 - 8a - 9 = 0
Next, factor the quadratic equation:
a2 - 8a - 9 = 0
(a + 1)(a - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 1) or (a - 9) must equal zero:
If (a + 1) = 0, a must equal -1
If (a - 9) = 0, a must equal 9
So the solution is that a = -1 or 9
If angle a = 49° and angle b = 31° what is the length of angle c?
| 111° | |
| 65° | |
| 100° | |
| 115° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 49° - 31° = 100°
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
First |
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Last |
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Inside |
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Odd |
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.
If angle a = 67° and angle b = 64° what is the length of angle d?
| 157° | |
| 127° | |
| 122° | |
| 113° |
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° - 64° = 49°
So, d° = 64° + 49° = 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°