| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
If angle a = 45° and angle b = 52° what is the length of angle c?
| 83° | |
| 111° | |
| 86° | |
| 98° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 45° - 52° = 83°
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
supplementary, vertical |
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acute, obtuse |
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obtuse, acute |
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vertical, supplementary |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
On this circle, line segment AB is the:
radius |
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chord |
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circumference |
|
diameter |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
Find the value of c:
4c + x = -2
3c + 8x = 8
| 1\(\frac{5}{11}\) | |
| -\(\frac{24}{29}\) | |
| -5 | |
| -11\(\frac{5}{6}\) |
You need to find the value of c so solve the first equation in terms of x:
4c + x = -2
x = -2 - 4c
then substitute the result (-2 - 4c) into the second equation:
3c + 8(-2 - 4c) = 8
3c + (8 x -2) + (8 x -4c) = 8
3c - 16 - 32c = 8
3c - 32c = 8 + 16
-29c = 24
c = \( \frac{24}{-29} \)
c = -\(\frac{24}{29}\)
The dimensions of this cube are height (h) = 5, length (l) = 3, and width (w) = 1. What is the volume?
| 360 | |
| 8 | |
| 84 | |
| 15 |
The volume of a cube is height x length x width:
v = h x l x w
v = 5 x 3 x 1
v = 15