| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
Order the following types of angle from least number of degrees to most number of degrees.
right, obtuse, acute |
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acute, right, obtuse |
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right, acute, obtuse |
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acute, obtuse, right |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
A quadrilateral is a shape with __________ sides.
3 |
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5 |
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2 |
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4 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
Factor y2 - 12y + 35
| (y + 7)(y - 5) | |
| (y - 7)(y + 5) | |
| (y - 7)(y - 5) | |
| (y + 7)(y + 5) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 35 as well and sum (Inside, Outside) to equal -12. For this problem, those two numbers are -7 and -5. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 12y + 35
y2 + (-7 - 5)y + (-7 x -5)
(y - 7)(y - 5)
Which types of triangles will always have at least two sides of equal length?
equilateral and isosceles |
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equilateral and right |
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isosceles and right |
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equilateral, 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.
Solve for a:
-9a - 7 < \( \frac{a}{-1} \)
| a < \(\frac{5}{11}\) | |
| a < 7\(\frac{1}{2}\) | |
| a < -\(\frac{7}{8}\) | |
| a < -\(\frac{2}{5}\) |
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 < sign and the answer on the other.
-9a - 7 < \( \frac{a}{-1} \)
-1 x (-9a - 7) < a
(-1 x -9a) + (-1 x -7) < a
9a + 7 < a
9a + 7 - a < 0
9a - a < -7
8a < -7
a < \( \frac{-7}{8} \)
a < -\(\frac{7}{8}\)