239.99 x 75%(75/100) ~ $180
$180 x 90%(90/100) = $162
Answer:
D
Step-by-step explanation:
∠1 + ∠2 = 180 {Supplementary angles}
6x + 15 + 3x + 3 = 180
6x + 3x + 15 + 3 = 180
Combine like terms
9x + 18 = 180
Subtract 18 from both sides
9x = 180 - 18
9x = 162
x = 162/9
x = 18
∠2 = 3x +3
= 3*18 + 3
= 54 + 3
∠2 = 57°
Answer:
The slope of a line that is perpendicular to the line
shown in the graph is = 4
Hence, option 'd' is true.
Step-by-step explanation:
From the line equation, let us take two points
Finding the slope between two points
![\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cmathrm%7BSlope%7D%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![\left(x_1,\:y_1\right)=\left(0,\:2\right),\:\left(x_2,\:y_2\right)=\left(4,\:1\right)](https://tex.z-dn.net/?f=%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%3D%5Cleft%280%2C%5C%3A2%5Cright%29%2C%5C%3A%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3D%5Cleft%284%2C%5C%3A1%5Cright%29)
![m=\frac{1-2}{4-0}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1-2%7D%7B4-0%7D)
![m=-\frac{1}{4}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B1%7D%7B4%7D)
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be:
![-\frac{1}{-\frac{1}{4}}=4](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B-%5Cfrac%7B1%7D%7B4%7D%7D%3D4)
Thus, the slope of a line that is perpendicular to the line
shown in the graph is = 4
Hence, option 'd' is true.
Answer:
x = -4
Step-by-step explanation:
Distribute the -2 into the parentheses and your equation becomes -8x - 8 - 3x - 2 = 34
Then combine the -8x and -3x as well as the -8 and -2 to have -11x - 10 = 34
Add 10 to both sides and get -11x = 44
Divide both sides by -11 for x=-4