| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.02 |
| Score | 0% | 60% |
Order the following types of angle from least number of degrees to most number of degrees.
acute, obtuse, right |
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acute, right, obtuse |
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right, obtuse, acute |
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right, acute, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
If angle a = 48° and angle b = 34° what is the length of angle d?
| 121° | |
| 130° | |
| 132° | |
| 119° |
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° - 48° - 34° = 98°
So, d° = 34° + 98° = 132°
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° - 48° = 132°
Simplify (5a)(9ab) + (9a2)(7b).
| 108a2b | |
| 224ab2 | |
| -18a2b | |
| 224a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(5a)(9ab) + (9a2)(7b)
(5 x 9)(a x a x b) + (9 x 7)(a2 x b)
(45)(a1+1 x b) + (63)(a2b)
45a2b + 63a2b
108a2b
What is the circumference of a circle with a diameter of 2?
| 2π | |
| 4π | |
| 10π | |
| 14π |
The formula for circumference is circle diameter x π:
c = πd
c = 2π
Which of the following statements about parallel lines with a transversal is not correct?
angles in the same position on different parallel lines are called corresponding angles |
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same-side interior angles are complementary and equal each other |
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all of the angles formed by a transversal are called interior angles |
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all acute angles equal each other |
Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).