Answer:
Infinite Solutions
Step-by-step explanation:
5(x-3)+6=5x-9
5x-15+6=5x-9
5x-9=5x-9
Add 9 to both sides
5x=5x
Divide by 5
x=x
Infinite solutions because any number put in will be right
All you need to do is 16 so she needs to work 16 hours to get $115.
Answer: BC= 18 units .
Explanation:
Since we have given that
Diagonal of square WXYZ is given by
![12\sqrt{2}](https://tex.z-dn.net/?f=12%5Csqrt%7B2%7D)
As we know the formula of "Diagonal of square",
![D=a\sqrt2\\\\12=a\sqrt{2}\\\\\frac{12}{\sqrt{2}}=a\\\\6\sqrt{2}=a](https://tex.z-dn.net/?f=D%3Da%5Csqrt2%5C%5C%5C%5C12%3Da%5Csqrt%7B2%7D%5C%5C%5C%5C%5Cfrac%7B12%7D%7B%5Csqrt%7B2%7D%7D%3Da%5C%5C%5C%5C6%5Csqrt%7B2%7D%3Da)
Since 'A' is the midpoint of WX so,
Length of AX=YE is given by
![\frac{6\sqrt{2}}{2}=3\sqrt{2}](https://tex.z-dn.net/?f=%5Cfrac%7B6%5Csqrt%7B2%7D%7D%7B2%7D%3D3%5Csqrt%7B2%7D)
Since AB=AC and ΔABC is right angled triangle , so,
![\angle C=\angle B=45\textdegree(\text{ because equal sides have equal angles })](https://tex.z-dn.net/?f=%5Cangle%20C%3D%5Cangle%20B%3D45%5Ctextdegree%28%5Ctext%7B%20because%20equal%20sides%20have%20equal%20angles%20%7D%29)
So, In ΔCEY,
![\sin{45\textdegree}=\frac{EY}{CY}\\\\\frac{1}{\sqrt2}=\frac{3\sqrt2}{CY}\\\\CY=3\sqrt2\times \sqrt2=3\times 2=6\ units](https://tex.z-dn.net/?f=%5Csin%7B45%5Ctextdegree%7D%3D%5Cfrac%7BEY%7D%7BCY%7D%5C%5C%5C%5C%5Cfrac%7B1%7D%7B%5Csqrt2%7D%3D%5Cfrac%7B3%5Csqrt2%7D%7BCY%7D%5C%5C%5C%5CCY%3D3%5Csqrt2%5Ctimes%20%5Csqrt2%3D3%5Ctimes%202%3D6%5C%20units)
in ΔXYB,
![\sin{45\textdegree}=\frac{XY}{BY}\\\\\frac{1}{\sqrt2}=\frac{6\sqrt2}{CY}\\\\CY=6\sqrt2\times \sqrt2=6\times 2=12\ units](https://tex.z-dn.net/?f=%5Csin%7B45%5Ctextdegree%7D%3D%5Cfrac%7BXY%7D%7BBY%7D%5C%5C%5C%5C%5Cfrac%7B1%7D%7B%5Csqrt2%7D%3D%5Cfrac%7B6%5Csqrt2%7D%7BCY%7D%5C%5C%5C%5CCY%3D6%5Csqrt2%5Ctimes%20%5Csqrt2%3D6%5Ctimes%202%3D12%5C%20units)
So,
![BC=BY+CY\\\\BC=12+6\\\\BC=18\ units](https://tex.z-dn.net/?f=BC%3DBY%2BCY%5C%5C%5C%5CBC%3D12%2B6%5C%5C%5C%5CBC%3D18%5C%20units)
Answer: -11m-8
Step-by-step explanation: first you would distribute (m+1) into -8 causing it to be -3m-8m-8 you then combine like terms getting you -11m-8