| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.97 |
| Score | 0% | 59% |
If angle a = 41° and angle b = 68° what is the length of angle d?
| 151° | |
| 139° | |
| 156° | |
| 138° |
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° - 41° - 68° = 71°
So, d° = 68° + 71° = 139°
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° - 41° = 139°
Which of the following expressions contains exactly two terms?
polynomial |
|
monomial |
|
binomial |
|
quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
The formula for the area of a circle is which of the following?
c = π r2 |
|
c = π d2 |
|
c = π d |
|
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.
If side a = 4, side b = 3, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{106} \) | |
| \( \sqrt{80} \) | |
| 5 | |
| 10 |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 32
c2 = 16 + 9
c2 = 25
c = \( \sqrt{25} \)
c = 5
A trapezoid is a quadrilateral with one set of __________ sides.
equal angle |
|
right angle |
|
parallel |
|
equal length |
A trapezoid is a quadrilateral with one set of parallel sides.