| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.94 |
| Score | 0% | 59% |
If angle a = 48° and angle b = 63° what is the length of angle d?
| 132° | |
| 124° | |
| 150° | |
| 130° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 48° - 63° = 69°
So, d° = 63° + 69° = 132°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 48° = 132°
Simplify (9a)(4ab) - (9a2)(6b).
| 195ab2 | |
| -18a2b | |
| 195a2b | |
| 90a2b |
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.
(9a)(4ab) - (9a2)(6b)
(9 x 4)(a x a x b) - (9 x 6)(a2 x b)
(36)(a1+1 x b) - (54)(a2b)
36a2b - 54a2b
-18a2b
If c = 9 and y = -8, what is the value of -8c(c - y)?
| 16 | |
| -200 | |
| -50 | |
| -1224 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-8c(c - y)
-8(9)(9 + 8)
-8(9)(17)
(-72)(17)
-1224
Solve for y:
-4y + 3 > -4 + 2y
| y > 1 | |
| y > -4\(\frac{1}{2}\) | |
| y > 1\(\frac{1}{6}\) | |
| y > -\(\frac{2}{3}\) |
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.
-4y + 3 > -4 + 2y
-4y > -4 + 2y - 3
-4y - 2y > -4 - 3
-6y > -7
y > \( \frac{-7}{-6} \)
y > 1\(\frac{1}{6}\)
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
|
rhombus |
|
trapezoid |
|
triangle |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.