| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
On this circle, line segment AB is the:
diameter |
|
circumference |
|
chord |
|
radius |
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).
If the base of this triangle is 3 and the height is 4, what is the area?
| 49 | |
| 6 | |
| 77 | |
| 32 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 3 x 4 = \( \frac{12}{2} \) = 6
A right angle measures:
45° |
|
180° |
|
360° |
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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.
If a = c = 3, b = d = 1, and the blue angle = 59°, what is the area of this parallelogram?
| 54 | |
| 4 | |
| 42 | |
| 3 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 3 x 1
a = 3
Find the value of a:
-5a + y = -2
4a - 8y = 8
| \(\frac{3}{13}\) | |
| \(\frac{2}{9}\) | |
| -\(\frac{8}{11}\) | |
| \(\frac{28}{33}\) |
You need to find the value of a so solve the first equation in terms of y:
-5a + y = -2
y = -2 + 5a
then substitute the result (-2 - -5a) into the second equation:
4a - 8(-2 + 5a) = 8
4a + (-8 x -2) + (-8 x 5a) = 8
4a + 16 - 40a = 8
4a - 40a = 8 - 16
-36a = -8
a = \( \frac{-8}{-36} \)
a = \(\frac{2}{9}\)