| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.30 |
| Score | 0% | 46% |
If angle a = 34° and angle b = 51° what is the length of angle c?
| 121° | |
| 108° | |
| 95° | |
| 90° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 34° - 51° = 95°
Find the value of b:
-8b + z = -4
8b - 7z = 9
| 1\(\frac{1}{25}\) | |
| -1\(\frac{7}{13}\) | |
| \(\frac{19}{48}\) | |
| 1 |
You need to find the value of b so solve the first equation in terms of z:
-8b + z = -4
z = -4 + 8b
then substitute the result (-4 - -8b) into the second equation:
8b - 7(-4 + 8b) = 9
8b + (-7 x -4) + (-7 x 8b) = 9
8b + 28 - 56b = 9
8b - 56b = 9 - 28
-48b = -19
b = \( \frac{-19}{-48} \)
b = \(\frac{19}{48}\)
The formula for the area of a circle is which of the following?
c = π d2 |
|
c = π r2 |
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c = π d |
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c = π r |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
Which of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
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opposite sides and adjacent angles are equal |
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the area of a parallelogram is base x height |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
Solve for c:
-7c - 2 < \( \frac{c}{5} \)
| c < \(\frac{7}{43}\) | |
| c < -\(\frac{5}{18}\) | |
| c < -1\(\frac{8}{55}\) | |
| c < 2\(\frac{5}{8}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
-7c - 2 < \( \frac{c}{5} \)
5 x (-7c - 2) < c
(5 x -7c) + (5 x -2) < c
-35c - 10 < c
-35c - 10 - c < 0
-35c - c < 10
-36c < 10
c < \( \frac{10}{-36} \)
c < -\(\frac{5}{18}\)