| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.48 |
| Score | 0% | 50% |
On this circle, a line segment connecting point A to point D is called:
chord |
|
diameter |
|
circumference |
|
radius |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
Which of the following statements about parallel lines with a transversal is not correct?
all acute angles equal each other |
|
all of the angles formed by a transversal are called interior angles |
|
same-side interior angles are complementary and equal each other |
|
angles in the same position on different parallel lines are called corresponding 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°).
What is 6a + 9a?
| a2 | |
| 15a | |
| -3 | |
| 15a2 |
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.
6a + 9a = 15a
The formula for the area of a circle is which of the following?
c = π d |
|
c = π r |
|
c = π d2 |
|
c = π r2 |
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.
Solve for b:
b2 + 5b - 14 = 0
| -4 or -5 | |
| 9 or 8 | |
| -7 or -9 | |
| 2 or -7 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
b2 + 5b - 14 = 0
(b - 2)(b + 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 2) or (b + 7) must equal zero:
If (b - 2) = 0, b must equal 2
If (b + 7) = 0, b must equal -7
So the solution is that b = 2 or -7