To solve this problem, you must know that an inscribed angle equals 1/2 of the arc that it intercepts.
Therefore, because <ABC intercepts arc ADC, we know that
the measure of angle ABC = 1/2 * (measure of Arc ADC)
OR, when the values are substituted into the equation
165 = (1/2) (5)(x-3)
When simplified, this equation equals
330 = 5x - 15
345 = 5x
x = 69
Therefore, your answer is the second option, that x = 69 degrees.
Check the picture below, now the distance from 2,0 to 4,0 there's no need to do much calculation since that's just 2 units, as you see there.
![~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{4}) ~\hfill d1=\sqrt{[ 1- 2]^2 + [ 4- 0]^2} \\\\\\ d1=\sqrt{(-1)^2+4^2}\implies \boxed{d1=\sqrt{17}} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=~%5Chfill%20%5Cstackrel%7B%5Ctextit%7B%5Clarge%20distance%20between%202%20points%7D%7D%7Bd%20%3D%20%5Csqrt%7B%28%20x_2-%20x_1%29%5E2%20%2B%20%28%20y_2-%20y_1%29%5E2%7D%7D~%5Chfill~%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%28%5Cstackrel%7Bx_1%7D%7B2%7D~%2C~%5Cstackrel%7By_1%7D%7B0%7D%29%5Cqquad%20%28%5Cstackrel%7Bx_2%7D%7B1%7D~%2C~%5Cstackrel%7By_2%7D%7B4%7D%29%20~%5Chfill%20d1%3D%5Csqrt%7B%5B%201-%202%5D%5E2%20%2B%20%5B%204-%200%5D%5E2%7D%20%5C%5C%5C%5C%5C%5C%20d1%3D%5Csqrt%7B%28-1%29%5E2%2B4%5E2%7D%5Cimplies%20%5Cboxed%7Bd1%3D%5Csqrt%7B17%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
![(\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{-2}) ~\hfill d2=\sqrt{[ -1- 1]^2 + [ -2- 4]^2} \\\\\\ d2=\sqrt{(-2)^2+(-6)^2}\implies \boxed{d2=\sqrt{40}} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{0}) ~\hfill d3=\sqrt{[ 4- (-1)]^2 + [ 0- (-2)]^2} \\\\\\ d3=\sqrt{(4+1)^2+(0+2)^2}\implies \boxed{d3=\sqrt{29}}](https://tex.z-dn.net/?f=%28%5Cstackrel%7Bx_1%7D%7B1%7D~%2C~%5Cstackrel%7By_1%7D%7B4%7D%29%5Cqquad%20%28%5Cstackrel%7Bx_2%7D%7B-1%7D~%2C~%5Cstackrel%7By_2%7D%7B-2%7D%29%20~%5Chfill%20d2%3D%5Csqrt%7B%5B%20-1-%201%5D%5E2%20%2B%20%5B%20-2-%204%5D%5E2%7D%20%5C%5C%5C%5C%5C%5C%20d2%3D%5Csqrt%7B%28-2%29%5E2%2B%28-6%29%5E2%7D%5Cimplies%20%5Cboxed%7Bd2%3D%5Csqrt%7B40%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%28%5Cstackrel%7Bx_1%7D%7B-1%7D~%2C~%5Cstackrel%7By_1%7D%7B-2%7D%29%5Cqquad%20%28%5Cstackrel%7Bx_2%7D%7B4%7D~%2C~%5Cstackrel%7By_2%7D%7B0%7D%29%20~%5Chfill%20d3%3D%5Csqrt%7B%5B%204-%20%28-1%29%5D%5E2%20%2B%20%5B%200-%20%28-2%29%5D%5E2%7D%20%5C%5C%5C%5C%5C%5C%20d3%3D%5Csqrt%7B%284%2B1%29%5E2%2B%280%2B2%29%5E2%7D%5Cimplies%20%5Cboxed%7Bd3%3D%5Csqrt%7B29%7D%7D)
Answer:
c
Step-by-step explanation:
Answer:the answer is 560
Step-by-step explanation:
The reason is because you multiply to get 8 and 40 to get the amount for regular time which is 320.Then you subtract 60 from 40 which is 20.You multiply that amounnt by 12 because that is the overtime which will equal 240.Add them together and you get 560. ☺
Answer:
V = 5280 in^3
Step-by-step explanation:
The volume is found by
V = Bh where B is the area of the base and h is the height
first we need to find the area of the base
The base is the triangle
We need to find the base dimension for the triangle
34^2 = 16^2 + b^2
34^2 -16^2 = b^2
900 = b^2
30 =b
B = 1/2 bh
= 1/2 (30) *16
B =240
V = Bh
V = 240 * 22
V = 5280 in^3
