| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
If angle a = 69° and angle b = 70° what is the length of angle d?
| 127° | |
| 150° | |
| 111° | |
| 142° |
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° - 69° - 70° = 41°
So, d° = 70° + 41° = 111°
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° - 69° = 111°
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
|
2lw x 2wh + 2lh |
|
h x l x w |
|
h2 x l2 x w2 |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
The dimensions of this trapezoid are a = 6, b = 4, c = 7, d = 6, and h = 5. What is the area?
| 22\(\frac{1}{2}\) | |
| 12 | |
| 13\(\frac{1}{2}\) | |
| 25 |
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(4 + 6)(5)
a = ½(10)(5)
a = ½(50) = \( \frac{50}{2} \)
a = 25
If a = c = 9, b = d = 2, and the blue angle = 68°, what is the area of this parallelogram?
| 12 | |
| 18 | |
| 14 | |
| 7 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 9 x 2
a = 18
A quadrilateral is a shape with __________ sides.
2 |
|
3 |
|
5 |
|
4 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.