| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
Find the value of a:
5a + z = 7
-4a - z = -5
| 2 | |
| -\(\frac{5}{7}\) | |
| \(\frac{17}{18}\) | |
| -\(\frac{46}{71}\) |
You need to find the value of a so solve the first equation in terms of z:
5a + z = 7
z = 7 - 5a
then substitute the result (7 - 5a) into the second equation:
-4a - 1(7 - 5a) = -5
-4a + (-1 x 7) + (-1 x -5a) = -5
-4a - 7 + 5a = -5
-4a + 5a = -5 + 7
a = 2
a = \( \frac{2}{1} \)
a = 2
If angle a = 67° and angle b = 44° what is the length of angle c?
| 90° | |
| 69° | |
| 50° | |
| 76° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 67° - 44° = 69°
Which of the following is not true about both rectangles and squares?
the perimeter is the sum of the lengths of all four sides |
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all interior angles are right angles |
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the area is length x width |
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the lengths of all sides are equal |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
On this circle, line segment CD is the:
diameter |
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chord |
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radius |
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circumference |
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 a = c = 4, b = d = 5, what is the area of this rectangle?
| 24 | |
| 20 | |
| 81 | |
| 72 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 4 x 5
a = 20