He assumes that 60-x and 2x-6 are vertical angles, so he equated these two expressions.
60-x=2x-6
60+6=2x+x
66=3x
x=22
You have a semicircle attached to a trapezium
Area of semicircle = 1/2 Pi r^2 = 1/2 + pi * 4^2 = 25.13 ( note r = 1/2 * 8 = 4)
Area of the trapezium = h/2 ( sum of 2 parallel sides) = 1/2 * 6 * (13 + 8)
= 63
Total area = 63 + 25.13 = 88.1 to nearest tenth
Answer:
$11.60 should be the answer, but I'm not too sure.
Step-by-step explanation:
https://www.google.com/search?q=tip+calculator&oq=tip+calculator&aqs=chrome..69i57j0l7.2486j0j7&sourceid=chrome&ie=UTF-8
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Write an equation system based on the problem
For an instance, e stands for the price of a carton of eggs, and b stands for the price of a loaf of bread
"Kate bought 3 cartons of eggs and 5 loaves of bread for $30.07" could be written as 3e + 5b = 30.07 (first equation)
"Melissa bought 2 cartons of eggs and 2 loaves of bread for $14.74" could be written as 2e + 2b = 14.74 (second equation)
Solve the equation system using elimination method
Eliminate b to find e. To eliminate b, we should equalize the coefficient of b.
3e + 5b = 30.07 (multiplied by 2)
2e + 2b = 14.74 (multiplied by 5)
-------------------------------------------
6e + 10b = 60.14
10e + 10b = 73.70
------------------------- - (substract)
-4e = -13.56
e = -13.56/-4
e = 3.39
The price for a carton of eggs is $3.39