| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.88 |
| Score | 0% | 58% |
Find the value of b:
3b + z = -7
b + 5z = -3
| -2\(\frac{2}{7}\) | |
| 2\(\frac{7}{19}\) | |
| 9\(\frac{4}{5}\) | |
| \(\frac{7}{8}\) |
You need to find the value of b so solve the first equation in terms of z:
3b + z = -7
z = -7 - 3b
then substitute the result (-7 - 3b) into the second equation:
b + 5(-7 - 3b) = -3
b + (5 x -7) + (5 x -3b) = -3
b - 35 - 15b = -3
b - 15b = -3 + 35
-14b = 32
b = \( \frac{32}{-14} \)
b = -2\(\frac{2}{7}\)
Which of the following is not true about both rectangles and squares?
the area is length x width |
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the perimeter is the sum of the lengths of all four sides |
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the lengths of all sides are equal |
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all interior angles are right angles |
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:
circumference |
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radius |
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chord |
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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).
If side a = 6, side b = 8, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{106} \) | |
| \( \sqrt{145} \) | |
| 10 | |
| \( \sqrt{53} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 62 + 82
c2 = 36 + 64
c2 = 100
c = \( \sqrt{100} \)
c = 10
If angle a = 24° and angle b = 44° what is the length of angle c?
| 132° | |
| 112° | |
| 85° | |
| 111° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 24° - 44° = 112°