| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.36 |
| Score | 0% | 67% |
If angle a = 69° and angle b = 26° what is the length of angle c?
| 85° | |
| 122° | |
| 132° | |
| 96° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 69° - 26° = 85°
Solve for z:
z2 + 9z - 30 = 3z - 3
| 8 or -4 | |
| 5 or 2 | |
| 3 or -9 | |
| 3 or -6 |
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:
z2 + 9z - 30 = 3z - 3
z2 + 9z - 30 + 3 = 3z
z2 + 9z - 3z - 27 = 0
z2 + 6z - 27 = 0
Next, factor the quadratic equation:
z2 + 6z - 27 = 0
(z - 3)(z + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 3) or (z + 9) must equal zero:
If (z - 3) = 0, z must equal 3
If (z + 9) = 0, z must equal -9
So the solution is that z = 3 or -9
Simplify 5a x 2b.
| 7ab | |
| 10a2b2 | |
| 10ab | |
| 10\( \frac{b}{a} \) |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
5a x 2b = (5 x 2) (a x b) = 10ab
If a = c = 1, b = d = 3, what is the area of this rectangle?
| 3 | |
| 64 | |
| 56 | |
| 18 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 1 x 3
a = 3
A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
|
triangle |
|
quadrilateral |
|
trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.