| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.77 |
| Score | 0% | 55% |
Order the following types of angle from least number of degrees to most number of degrees.
acute, obtuse, right |
|
right, acute, obtuse |
|
right, obtuse, acute |
|
acute, right, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Which of the following is not true about both rectangles and squares?
the lengths of all sides are equal |
|
the area is length x width |
|
the perimeter is the sum of the lengths of all four sides |
|
all interior angles are right angles |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
Solve for a:
-7a - 6 < \( \frac{a}{8} \)
| a < 3\(\frac{3}{17}\) | |
| a < 4 | |
| a < 2 | |
| a < -\(\frac{16}{19}\) |
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.
-7a - 6 < \( \frac{a}{8} \)
8 x (-7a - 6) < a
(8 x -7a) + (8 x -6) < a
-56a - 48 < a
-56a - 48 - a < 0
-56a - a < 48
-57a < 48
a < \( \frac{48}{-57} \)
a < -\(\frac{16}{19}\)
If angle a = 51° and angle b = 21° what is the length of angle d?
| 129° | |
| 131° | |
| 158° | |
| 137° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 51° - 21° = 108°
So, d° = 21° + 108° = 129°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 51° = 129°
Which of the following is not required to define the slope-intercept equation for a line?
x-intercept |
|
slope |
|
y-intercept |
|
\({\Delta y \over \Delta x}\) |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.