| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.79 |
| Score | 0% | 56% |
Solve for y:
-5y + 8 = \( \frac{y}{5} \)
| \(\frac{42}{55}\) | |
| \(\frac{4}{5}\) | |
| 1\(\frac{7}{13}\) | |
| 2\(\frac{8}{17}\) |
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.
-5y + 8 = \( \frac{y}{5} \)
5 x (-5y + 8) = y
(5 x -5y) + (5 x 8) = y
-25y + 40 = y
-25y + 40 - y = 0
-25y - y = -40
-26y = -40
y = \( \frac{-40}{-26} \)
y = 1\(\frac{7}{13}\)
Which of the following statements about a triangle is not true?
exterior angle = sum of two adjacent interior angles |
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perimeter = sum of side lengths |
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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.
What is the circumference of a circle with a radius of 7?
| 26π | |
| 14π | |
| 6π | |
| 10π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 7)
c = 14π
If side x = 12cm, side y = 14cm, and side z = 10cm what is the perimeter of this triangle?
| 34cm | |
| 31cm | |
| 36cm | |
| 30cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 12cm + 14cm + 10cm = 36cm
The formula for the area of a circle is which of the following?
c = π r |
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c = π d2 |
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c = π d |
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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.