| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.11 |
| Score | 0% | 62% |
If a = 3, b = 4, c = 8, and d = 2, what is the perimeter of this quadrilateral?
| 12 | |
| 22 | |
| 17 | |
| 11 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 3 + 4 + 8 + 2
p = 17
Solve for z:
6z - 3 = \( \frac{z}{-2} \)
| -\(\frac{20}{37}\) | |
| -2 | |
| -2\(\frac{2}{3}\) | |
| \(\frac{6}{13}\) |
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 equal sign and the answer on the other.
6z - 3 = \( \frac{z}{-2} \)
-2 x (6z - 3) = z
(-2 x 6z) + (-2 x -3) = z
-12z + 6 = z
-12z + 6 - z = 0
-12z - z = -6
-13z = -6
z = \( \frac{-6}{-13} \)
z = \(\frac{6}{13}\)
Simplify (9a)(6ab) + (7a2)(7b).
| 5a2b | |
| -5ab2 | |
| -5a2b | |
| 103a2b |
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) + (7a2)(7b)
(9 x 6)(a x a x b) + (7 x 7)(a2 x b)
(54)(a1+1 x b) + (49)(a2b)
54a2b + 49a2b
103a2b
If BD = 13 and AD = 23, AB = ?
| 10 | |
| 15 | |
| 19 | |
| 17 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDWhich of the following statements about parallel lines with a transversal is not correct?
same-side interior angles are complementary and equal each other |
|
all acute angles equal each other |
|
angles in the same position on different parallel lines are called corresponding angles |
|
all of the angles formed by a transversal are called interior angles |
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°).