| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.86 |
| Score | 0% | 77% |
If angle a = 45° and angle b = 59° what is the length of angle c?
| 123° | |
| 76° | |
| 114° | |
| 45° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 45° - 59° = 76°
Simplify 9a x 6b.
| 54ab | |
| 54a2b2 | |
| 15ab | |
| 54\( \frac{a}{b} \) |
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.
9a x 6b = (9 x 6) (a x b) = 54ab
A right angle measures:
180° |
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360° |
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45° |
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90° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
Solve for z:
z2 - 17z + 22 = -5z - 5
| 5 or -2 | |
| -2 or -9 | |
| -5 or -8 | |
| 3 or 9 |
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 - 17z + 22 = -5z - 5
z2 - 17z + 22 + 5 = -5z
z2 - 17z + 5z + 27 = 0
z2 - 12z + 27 = 0
Next, factor the quadratic equation:
z2 - 12z + 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
A quadrilateral is a shape with __________ sides.
3 |
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4 |
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2 |
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5 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.