Answer:
answer and explanation below
Step-by-step explanation:
2.m<x=75(angle on the same line so 180-105)
m<y=105 (vertical angles of the parallelogram are equal)
m<z=75 ( vertical angle of m<x)
3.M<y = 25 ( vertical angle property)
m<z=155( on the same line)
m<z and M,x =155( vertical angles )
Lets look at the possible factors of 24. 24*1, 12*2, 8*3, and 6*4. Only 8 and 3 have a difference of 5, so the rectangle has the dimentions of 8 by 3.
Answer:
$60
Step-by-step explanation:
To find how much Zoe paid before the sales tax and tip, we first need to consider the amount she paid in sales tax and tips.
Sales tax + Tips = $18.60
Let x = original price
Sales tax = 11% * original price
Sales tax = 0.11 * x
x= 0.11x
Tips = 20% * original price
Tips = 0.20 * x
x = 0.2x
Now that we have a value for both the sales tax and tips, we can then proceed to find the original price by:
0.11x + 0.2x = 18.60
0.31x = 18.60
Now we need to divide both sides by 0.31 to find x.
x = 60
Zoe's dinner before the sales tax and tips was $60.
