| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.63 |
| Score | 0% | 53% |
If angle a = 56° and angle b = 26° what is the length of angle c?
| 48° | |
| 92° | |
| 98° | |
| 84° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 56° - 26° = 98°
Solve for b:
b - 7 < -5 + 5b
| b < -1\(\frac{2}{7}\) | |
| b < \(\frac{7}{9}\) | |
| b < -\(\frac{1}{2}\) | |
| b < 3 |
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.
b - 7 < -5 + 5b
b < -5 + 5b + 7
b - 5b < -5 + 7
-4b < 2
b < \( \frac{2}{-4} \)
b < -\(\frac{1}{2}\)
A(n) __________ is to a parallelogram as a square is to a rectangle.
trapezoid |
|
quadrilateral |
|
triangle |
|
rhombus |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Solve for x:
-8x - 7 > \( \frac{x}{-8} \)
| x > 1\(\frac{8}{13}\) | |
| x > \(\frac{2}{19}\) | |
| x > -\(\frac{8}{9}\) | |
| x > -\(\frac{16}{57}\) |
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.
-8x - 7 > \( \frac{x}{-8} \)
-8 x (-8x - 7) > x
(-8 x -8x) + (-8 x -7) > x
64x + 56 > x
64x + 56 - x > 0
64x - x > -56
63x > -56
x > \( \frac{-56}{63} \)
x > -\(\frac{8}{9}\)
Find the value of b:
-b + x = 2
-3b + 4x = -6
| \(\frac{9}{13}\) | |
| -\(\frac{50}{67}\) | |
| -14 | |
| -6\(\frac{1}{6}\) |
You need to find the value of b so solve the first equation in terms of x:
-b + x = 2
x = 2 + b
then substitute the result (2 - -1b) into the second equation:
-3b + 4(2 + b) = -6
-3b + (4 x 2) + (4 x b) = -6
-3b + 8 + 4b = -6
-3b + 4b = -6 - 8
b = -14
b = \( \frac{-14}{1} \)
b = -14