| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
If side x = 14cm, side y = 6cm, and side z = 6cm what is the perimeter of this triangle?
| 26cm | |
| 22cm | |
| 30cm | |
| 18cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 14cm + 6cm + 6cm = 26cm
Solve for z:
4z + 9 > 5 + 3z
| z > -4 | |
| z > -\(\frac{1}{2}\) | |
| z > -\(\frac{3}{8}\) | |
| z > -\(\frac{3}{4}\) |
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.
4z + 9 > 5 + 3z
4z > 5 + 3z - 9
4z - 3z > 5 - 9
z > -4
Simplify (8a)(6ab) + (7a2)(6b).
| 90a2b | |
| 182a2b | |
| -6ab2 | |
| 6ab2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(8a)(6ab) + (7a2)(6b)
(8 x 6)(a x a x b) + (7 x 6)(a2 x b)
(48)(a1+1 x b) + (42)(a2b)
48a2b + 42a2b
90a2b
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
vertical, supplementary |
|
supplementary, vertical |
|
obtuse, acute |
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acute, obtuse |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
Which types of triangles will always have at least two sides of equal length?
equilateral, isosceles and right |
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isosceles and right |
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equilateral and right |
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equilateral and isosceles |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.