| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.11 |
| Score | 0% | 62% |
Which types of triangles will always have at least two sides of equal length?
equilateral and right |
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equilateral and isosceles |
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equilateral, isosceles and right |
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isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
The formula for the area of a circle is which of the following?
a = π d |
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a = π d2 |
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a = π r |
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a = 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.
Which of the following statements about a triangle is not true?
perimeter = sum of side lengths |
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exterior angle = sum of two adjacent interior angles |
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sum of interior angles = 180° |
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area = ½bh |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.
Solve for c:
7c + 6 = \( \frac{c}{-5} \)
| \(\frac{12}{37}\) | |
| -\(\frac{5}{6}\) | |
| -2\(\frac{22}{25}\) | |
| 3\(\frac{1}{3}\) |
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.
7c + 6 = \( \frac{c}{-5} \)
-5 x (7c + 6) = c
(-5 x 7c) + (-5 x 6) = c
-35c - 30 = c
-35c - 30 - c = 0
-35c - c = 30
-36c = 30
c = \( \frac{30}{-36} \)
c = -\(\frac{5}{6}\)
What is 4a8 + 7a8?
| 11 | |
| 11a8 | |
| a816 | |
| 28a8 |
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.
4a8 + 7a8 = 11a8