| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.86 |
| Score | 0% | 57% |
Find the value of b:
-9b + z = 5
-9b - 9z = 9
| \(\frac{31}{54}\) | |
| -\(\frac{3}{5}\) | |
| -\(\frac{3}{10}\) | |
| -1\(\frac{5}{6}\) |
You need to find the value of b so solve the first equation in terms of z:
-9b + z = 5
z = 5 + 9b
then substitute the result (5 - -9b) into the second equation:
-9b - 9(5 + 9b) = 9
-9b + (-9 x 5) + (-9 x 9b) = 9
-9b - 45 - 81b = 9
-9b - 81b = 9 + 45
-90b = 54
b = \( \frac{54}{-90} \)
b = -\(\frac{3}{5}\)
If a = c = 7, b = d = 8, and the blue angle = 53°, what is the area of this parallelogram?
| 6 | |
| 54 | |
| 56 | |
| 45 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 7 x 8
a = 56
Which types of triangles will always have at least two sides of equal length?
isosceles and right |
|
equilateral and right |
|
equilateral, isosceles and right |
|
equilateral and isosceles |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
This diagram represents two parallel lines with a transversal. If w° = 37, what is the value of y°?
| 143 | |
| 163 | |
| 154 | |
| 26 |
For parallel lines with a transversal, the following relationships apply:
Applying these relationships starting with w° = 37, the value of y° is 143.
The dimensions of this cube are height (h) = 3, length (l) = 9, and width (w) = 3. What is the surface area?
| 230 | |
| 168 | |
| 152 | |
| 126 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 9 x 3) + (2 x 3 x 3) + (2 x 9 x 3)
sa = (54) + (18) + (54)
sa = 126