| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.92 |
| Score | 0% | 58% |
If angle a = 33° and angle b = 50° what is the length of angle d?
| 143° | |
| 139° | |
| 112° | |
| 147° |
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° - 33° - 50° = 97°
So, d° = 50° + 97° = 147°
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° - 33° = 147°
If a = c = 2, b = d = 6, and the blue angle = 63°, what is the area of this parallelogram?
| 12 | |
| 63 | |
| 9 | |
| 24 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 2 x 6
a = 12
The dimensions of this cylinder are height (h) = 8 and radius (r) = 3. What is the surface area?
| 132π | |
| 20π | |
| 240π | |
| 66π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(32) + 2π(3 x 8)
sa = 2π(9) + 2π(24)
sa = (2 x 9)π + (2 x 24)π
sa = 18π + 48π
sa = 66π
Which types of triangles will always have at least two sides of equal length?
equilateral, isosceles and right |
|
isosceles and right |
|
equilateral and isosceles |
|
equilateral and right |
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.
If a = 4 and x = -1, what is the value of -7a(a - x)?
| -168 | |
| -140 | |
| 0 | |
| -4 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-7a(a - x)
-7(4)(4 + 1)
-7(4)(5)
(-28)(5)
-140