| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
If side x = 14cm, side y = 8cm, and side z = 7cm what is the perimeter of this triangle?
| 29cm | |
| 32cm | |
| 30cm | |
| 33cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 14cm + 8cm + 7cm = 29cm
The formula for the area of a circle is which of the following?
a = π d2 |
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a = π r |
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a = π r2 |
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a = π d |
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.
On this circle, line segment CD is the:
chord |
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circumference |
|
diameter |
|
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?
same-side interior angles are complementary and equal each other |
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angles in the same position on different parallel lines are called corresponding angles |
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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°).
Solve for a:
-3a - 7 = 9 + 6a
| -1\(\frac{7}{9}\) | |
| \(\frac{7}{9}\) | |
| -\(\frac{1}{2}\) | |
| -2 |
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.
-3a - 7 = 9 + 6a
-3a = 9 + 6a + 7
-3a - 6a = 9 + 7
-9a = 16
a = \( \frac{16}{-9} \)
a = -1\(\frac{7}{9}\)