Answer:
x = 5, AB=5, BC = 15
Step-by-step explanation:
AC = AB + BC (Segment Addition)
AC= 20, AB =x Bc = 3x,
20= x+3x 20=4x
x=5
AB=x, AB =5
BC=3x BC= 15
Will Smith paid $857.19 for the 60 inch TV.
Step-by-step explanation:
Step 1:
The 60 inch TV sells for $1,250. The electronics store offers a discount of 35%.
So the price that is paid for the TV is reduced by 35%.
We need to determine how much 35% of $1,250 is.
35% of $1,250 ![= \frac{35}{100} (1,250) = 437.50.](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B35%7D%7B100%7D%20%281%2C250%29%20%3D%20437.50.)
So a discount of $437.50 is applied to the original price.
The discounted price ![= 1,250 - 437.50 = 812.50.](https://tex.z-dn.net/?f=%3D%201%2C250%20-%20437.50%20%3D%20812.50.)
The discounted price of the TV is $812.50.
Step 2:
A sales tax rate of 5.5% is applied where Will Smith lives.
We need to determine how much 5.5% of $812.50 is.
5.5% of $812.50 ![= \frac{5.5}{100} (812.50) = 44.6875.](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B5.5%7D%7B100%7D%20%28812.50%29%20%3D%2044.6875.)
So a sales tax of $44.6875 is applied to the original price.
The total price ![= 812.50+44.68755 =857.1875.](https://tex.z-dn.net/?f=%3D%20812.50%2B44.68755%20%3D857.1875.)
Rounding this off, Will Smith paid $857.19 for the 60 inch TV.
Step-by-step explanation:
x + y = 9 ......... equation 1
x - y = 7 ............equation 2
Now solving both equations
x + y = 9
<u>x </u><u>-</u><u> </u><u>y </u><u>=</u><u> </u><u>7</u>
2x = 16
Therefore x = 8
Now putting x = 8 in equation 1
8 + y = 9
Therefore y = 1
Here B (8 , 1) is your answer
Hope it will help you