| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
If a = 6, b = 6, c = 6, and d = 8, what is the perimeter of this quadrilateral?
| 19 | |
| 25 | |
| 16 | |
| 26 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 6 + 6 + 6 + 8
p = 26
Which of the following statements about parallel lines with a transversal is not correct?
all of the angles formed by a transversal are called interior angles |
|
all acute angles equal each other |
|
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 |
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°).
For this diagram, the Pythagorean theorem states that b2 = ?
c2 + a2 |
|
c - a |
|
a2 - c2 |
|
c2 - a2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
What is 5a - 9a?
| 45a | |
| -4a | |
| 14a2 | |
| a2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
5a - 9a = -4a
Simplify (9a)(6ab) + (3a2)(4b).
| 42ab2 | |
| 42a2b | |
| 66a2b | |
| -42ab2 |
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.
(9a)(6ab) + (3a2)(4b)
(9 x 6)(a x a x b) + (3 x 4)(a2 x b)
(54)(a1+1 x b) + (12)(a2b)
54a2b + 12a2b
66a2b