| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
If the base of this triangle is 4 and the height is 9, what is the area?
| 39 | |
| 18 | |
| 52 | |
| 90 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 4 x 9 = \( \frac{36}{2} \) = 18
A quadrilateral is a shape with __________ sides.
5 |
|
3 |
|
4 |
|
2 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
Solve for x:
-4x + 1 = 2 - 6x
| \(\frac{1}{2}\) | |
| -1\(\frac{2}{7}\) | |
| -\(\frac{1}{4}\) | |
| -1 |
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 equal sign and the answer on the other.
-4x + 1 = 2 - 6x
-4x = 2 - 6x - 1
-4x + 6x = 2 - 1
2x = 1
x = \( \frac{1}{2} \)
x = \(\frac{1}{2}\)
If a = c = 3, b = d = 2, and the blue angle = 64°, what is the area of this parallelogram?
| 27 | |
| 8 | |
| 6 | |
| 10 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 3 x 2
a = 6
For this diagram, the Pythagorean theorem states that b2 = ?
c2 + a2 |
|
c - a |
|
c2 - a2 |
|
a2 - c2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)