| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.95 |
| Score | 0% | 59% |
Solve for y:
-7y + 7 = \( \frac{y}{3} \)
| \(\frac{21}{22}\) | |
| -\(\frac{18}{19}\) | |
| -1\(\frac{31}{41}\) | |
| -1\(\frac{2}{25}\) |
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 equal sign and the answer on the other.
-7y + 7 = \( \frac{y}{3} \)
3 x (-7y + 7) = y
(3 x -7y) + (3 x 7) = y
-21y + 21 = y
-21y + 21 - y = 0
-21y - y = -21
-22y = -21
y = \( \frac{-21}{-22} \)
y = \(\frac{21}{22}\)
If angle a = 68° and angle b = 34° what is the length of angle c?
| 60° | |
| 93° | |
| 92° | |
| 78° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 68° - 34° = 78°
For this diagram, the Pythagorean theorem states that b2 = ?
a2 - c2 |
|
c2 - a2 |
|
c2 + a2 |
|
c - a |
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, \(c = \sqrt{a + b}\)
If side x = 6cm, side y = 5cm, and side z = 12cm what is the perimeter of this triangle?
| 23cm | |
| 38cm | |
| 25cm | |
| 32cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 6cm + 5cm + 12cm = 23cm
On this circle, a line segment connecting point A to point D is called:
radius |
|
diameter |
|
circumference |
|
chord |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).