| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.95 |
| Score | 0% | 59% |
A trapezoid is a quadrilateral with one set of __________ sides.
parallel |
|
right angle |
|
equal length |
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equal angle |
A trapezoid is a quadrilateral with one set of parallel sides.
A(n) __________ is to a parallelogram as a square is to a rectangle.
trapezoid |
|
rhombus |
|
quadrilateral |
|
triangle |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
The formula for the area of a circle is which of the following?
a = π d |
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a = π r2 |
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a = π d2 |
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a = 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.
If angle a = 35° and angle b = 63° what is the length of angle d?
| 139° | |
| 120° | |
| 124° | |
| 145° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 35° - 63° = 82°
So, d° = 63° + 82° = 145°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 35° = 145°
Solve for b:
-4b + 6 > \( \frac{b}{-5} \)
| b > 1\(\frac{11}{19}\) | |
| b > 5\(\frac{2}{5}\) | |
| b > -\(\frac{24}{73}\) | |
| b > \(\frac{48}{49}\) |
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.
-4b + 6 > \( \frac{b}{-5} \)
-5 x (-4b + 6) > b
(-5 x -4b) + (-5 x 6) > b
20b - 30 > b
20b - 30 - b > 0
20b - b > 30
19b > 30
b > \( \frac{30}{19} \)
b > 1\(\frac{11}{19}\)