| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
If angle a = 63° and angle b = 57° what is the length of angle d?
| 147° | |
| 117° | |
| 125° | |
| 134° |
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° - 63° - 57° = 60°
So, d° = 57° + 60° = 117°
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° - 63° = 117°
What is 7a2 - 8a2?
| 15 | |
| -1a2 | |
| a24 | |
| 56a4 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
7a2 - 8a2 = -1a2
If a = 9, b = 7, c = 2, and d = 9, what is the perimeter of this quadrilateral?
| 27 | |
| 18 | |
| 16 | |
| 21 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 9 + 7 + 2 + 9
p = 27
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
|
h x l x w |
|
lw x wh + lh |
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2lw x 2wh + 2lh |
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.
Which of the following statements about parallel lines with a transversal is not correct?
same-side interior angles are complementary and equal each other |
|
all acute angles equal each other |
|
all of the angles formed by a transversal are called interior angles |
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angles in the same position on different parallel lines are called corresponding angles |
Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).