| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
A quadrilateral is a shape with __________ sides.
4 |
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2 |
|
5 |
|
3 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
On this circle, line segment AB is the:
chord |
|
diameter |
|
radius |
|
circumference |
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).
If side x = 14cm, side y = 15cm, and side z = 13cm what is the perimeter of this triangle?
| 43cm | |
| 42cm | |
| 20cm | |
| 22cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 14cm + 15cm + 13cm = 42cm
Solve for b:
b2 + 10b - 39 = 5b - 3
| 8 or -3 | |
| 4 or -9 | |
| 9 or 2 | |
| 7 or -9 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
b2 + 10b - 39 = 5b - 3
b2 + 10b - 39 + 3 = 5b
b2 + 10b - 5b - 36 = 0
b2 + 5b - 36 = 0
Next, factor the quadratic equation:
b2 + 5b - 36 = 0
(b - 4)(b + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 4) or (b + 9) must equal zero:
If (b - 4) = 0, b must equal 4
If (b + 9) = 0, b must equal -9
So the solution is that b = 4 or -9
On this circle, a line segment connecting point A to point D is called:
radius |
|
circumference |
|
chord |
|
diameter |
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).