| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.97 |
| Score | 0% | 59% |
Find the value of c:
6c + z = 3
7c + 4z = -5
| 1\(\frac{5}{9}\) | |
| \(\frac{1}{2}\) | |
| 5 | |
| 1 |
You need to find the value of c so solve the first equation in terms of z:
6c + z = 3
z = 3 - 6c
then substitute the result (3 - 6c) into the second equation:
7c + 4(3 - 6c) = -5
7c + (4 x 3) + (4 x -6c) = -5
7c + 12 - 24c = -5
7c - 24c = -5 - 12
-17c = -17
c = \( \frac{-17}{-17} \)
c = 1
Which types of triangles will always have at least two sides of equal length?
isosceles and right |
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equilateral and right |
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equilateral and isosceles |
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equilateral, isosceles and right |
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.
If angle a = 62° and angle b = 26° what is the length of angle c?
| 74° | |
| 70° | |
| 92° | |
| 63° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 62° - 26° = 92°
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
supplementary, vertical |
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vertical, supplementary |
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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).
A trapezoid is a quadrilateral with one set of __________ sides.
equal length |
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right angle |
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equal angle |
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parallel |
A trapezoid is a quadrilateral with one set of parallel sides.