| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.98 |
| Score | 0% | 60% |
The dimensions of this cube are height (h) = 2, length (l) = 2, and width (w) = 1. What is the volume?
| 448 | |
| 144 | |
| 225 | |
| 4 |
The volume of a cube is height x length x width:
v = h x l x w
v = 2 x 2 x 1
v = 4
If angle a = 23° and angle b = 60° what is the length of angle d?
| 157° | |
| 139° | |
| 124° | |
| 158° |
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° - 23° - 60° = 97°
So, d° = 60° + 97° = 157°
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° - 23° = 157°
Which of the following statements about parallel lines with a transversal is not correct?
same-side interior angles are complementary and equal each other |
|
angles in the same position on different parallel lines are called corresponding angles |
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all acute angles equal each other |
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all of the angles formed by a transversal are called interior 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°).
If c = 2 and x = -6, what is the value of -9c(c - x)?
| 32 | |
| -144 | |
| 108 | |
| -20 |
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.)
-9c(c - x)
-9(2)(2 + 6)
-9(2)(8)
(-18)(8)
-144
Which types of triangles will always have at least two sides of equal length?
equilateral and isosceles |
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equilateral and right |
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isosceles and right |
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equilateral, isosceles 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.