| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.96 |
| Score | 0% | 59% |
Order the following types of angle from least number of degrees to most number of degrees.
right, acute, obtuse |
|
right, obtuse, acute |
|
acute, obtuse, right |
|
acute, right, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Solve for y:
-y - 2 < -9 + y
| y < 3\(\frac{1}{2}\) | |
| y < \(\frac{1}{6}\) | |
| y < 1\(\frac{3}{4}\) | |
| y < 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 < sign and the answer on the other.
-y - 2 < -9 + y
-y < -9 + y + 2
-y - y < -9 + 2
-2y < -7
y < \( \frac{-7}{-2} \)
y < 3\(\frac{1}{2}\)
Find the value of b:
-6b + x = -6
b + 2x = -2
| \(\frac{10}{13}\) | |
| \(\frac{6}{11}\) | |
| -8 | |
| 1 |
You need to find the value of b so solve the first equation in terms of x:
-6b + x = -6
x = -6 + 6b
then substitute the result (-6 - -6b) into the second equation:
b + 2(-6 + 6b) = -2
b + (2 x -6) + (2 x 6b) = -2
b - 12 + 12b = -2
b + 12b = -2 + 12
13b = 10
b = \( \frac{10}{13} \)
b = \(\frac{10}{13}\)
If b = 2 and y = 7, what is the value of -8b(b - y)?
| 288 | |
| 80 | |
| -16 | |
| 0 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-8b(b - y)
-8(2)(2 - 7)
-8(2)(-5)
(-16)(-5)
80
Which types of triangles will always have at least two sides of equal length?
equilateral, isosceles and right |
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equilateral and isosceles |
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equilateral 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.