| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.05 |
| Score | 0% | 61% |
If angle a = 64° and angle b = 53° what is the length of angle c?
| 63° | |
| 105° | |
| 72° | |
| 112° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 64° - 53° = 63°
If side a = 2, side b = 7, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{45} \) | |
| \( \sqrt{5} \) | |
| \( \sqrt{85} \) | |
| \( \sqrt{53} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 22 + 72
c2 = 4 + 49
c2 = 53
c = \( \sqrt{53} \)
Which of the following statements about a triangle is not true?
sum of interior angles = 180° |
|
area = ½bh |
|
exterior angle = sum of two adjacent interior angles |
|
perimeter = sum of side lengths |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.
What is the circumference of a circle with a diameter of 18?
| 18π | |
| 17π | |
| 13π | |
| 14π |
The formula for circumference is circle diameter x π:
c = πd
c = 18π
Find the value of b:
-8b + y = -5
6b - 7y = -5
| \(\frac{4}{27}\) | |
| \(\frac{1}{11}\) | |
| \(\frac{4}{5}\) | |
| \(\frac{3}{13}\) |
You need to find the value of b so solve the first equation in terms of y:
-8b + y = -5
y = -5 + 8b
then substitute the result (-5 - -8b) into the second equation:
6b - 7(-5 + 8b) = -5
6b + (-7 x -5) + (-7 x 8b) = -5
6b + 35 - 56b = -5
6b - 56b = -5 - 35
-50b = -40
b = \( \frac{-40}{-50} \)
b = \(\frac{4}{5}\)