Hi there,
the answer to this is 55°.
The reason it is 55° is because look at where the angel is <P. You can see that yes it is in the circle but it is located close to angle <C and <D and it's all connected to 55°
so that is your answer
Hope that is correct
Have a great day
Answer:
x = -2
Step-by-step explanation:
Multiply both sides by 3 to get rid of the fraction:
x - 10 = -12
Add 10 to both sides:
x = -2
let's first off convert the 0.6 to a fraction, and then let's keep in mind that
Standard Form of a Linear Equation
- variables must be on the left-hand-side, usually sorted in ascending order
- there must not be any fractions, just integers
- the variable "x" must not have a negative coefficient.
![\bf 0.\underline{6}\implies \cfrac{06}{1\underline{0}}\implies \cfrac{3}{5}\impliedby m = slope ~\hspace{12em} (\stackrel{x_1}{1}~,~\stackrel{y_1}{24}) \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-24=\cfrac{3}{5}(x-1)\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{5}}{5y-120=3(x-1)} \\\\\\ 5y-120=3x-3\implies -3x+5y=117\implies \stackrel{\textit{standard form}}{3x-5y=-117}](https://tex.z-dn.net/?f=%5Cbf%200.%5Cunderline%7B6%7D%5Cimplies%20%5Ccfrac%7B06%7D%7B1%5Cunderline%7B0%7D%7D%5Cimplies%20%5Ccfrac%7B3%7D%7B5%7D%5Cimpliedby%20m%20%3D%20slope%0A~%5Chspace%7B12em%7D%0A%28%5Cstackrel%7Bx_1%7D%7B1%7D~%2C~%5Cstackrel%7By_1%7D%7B24%7D%29%0A%5C%5C%5C%5C%5B-0.35em%5D%0A~%5Cdotfill%5C%5C%5C%5C%0A%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%0A%5Ccline%7B1-1%7D%0A%5Ctextit%7Bpoint-slope%20form%7D%5C%5C%0A%5Ccline%7B1-1%7D%0A%5C%5C%0Ay-y_1%3Dm%28x-x_1%29%0A%5C%5C%5C%5C%0A%5Ccline%7B1-1%7D%0A%5Cend%7Barray%7D%5Cimplies%20y-24%3D%5Ccfrac%7B3%7D%7B5%7D%28x-1%29%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bmultiplying%20both%20sides%20by%20%7D%5Cstackrel%7BLCD%7D%7B5%7D%7D%7B5y-120%3D3%28x-1%29%7D%0A%5C%5C%5C%5C%5C%5C%0A5y-120%3D3x-3%5Cimplies%20-3x%2B5y%3D117%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bstandard%20form%7D%7D%7B3x-5y%3D-117%7D)
The answers are:
____________________________________________
[A]: f(x) = -8 ; AND:
[B]: f(x) = -3 .
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Answer:
number of $20 bill = 4
Number of $5 bill = 5
Step-by-step explanation:
Given that:
Total number of $5 and $20 bills = 9
Let :
Number of $5 bills = x
Number of $20 bills = y
Combined worth of all bills = $105
x + y = 9 - - - (1)
5x + 20y = 105 - - - (2)
From (1)
x = 9 - y
Substitute x = 9 - y into (2)
5(9 - y) + 20y = 105
45 - 5y + 20y = 105
15y = 105 - 45
15y = 60
y = 60/15
y = 4
x = 9 - y
x = 9 - 4 = 5
Hence,
number of $20 bill = 4
Number of $5 bill = 5
