| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.17 |
| Score | 0% | 63% |
If the length of AB equals the length of BD, point B __________ this line segment.
trisects |
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midpoints |
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intersects |
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bisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
For this diagram, the Pythagorean theorem states that b2 = ?
a2 - c2 |
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c2 + a2 |
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c - a |
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c2 - a2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
Find the value of b:
9b + x = 6
9b - 4x = 5
| -2\(\frac{8}{29}\) | |
| 1\(\frac{21}{40}\) | |
| -1\(\frac{1}{3}\) | |
| \(\frac{29}{45}\) |
You need to find the value of b so solve the first equation in terms of x:
9b + x = 6
x = 6 - 9b
then substitute the result (6 - 9b) into the second equation:
9b - 4(6 - 9b) = 5
9b + (-4 x 6) + (-4 x -9b) = 5
9b - 24 + 36b = 5
9b + 36b = 5 + 24
45b = 29
b = \( \frac{29}{45} \)
b = \(\frac{29}{45}\)
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
exponents |
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pairs |
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addition |
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division |
When solving an equation with two variables, 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.)
A right angle measures:
180° |
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90° |
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360° |
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45° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.