next three are n+2, n+4, and n+6
four consecutive odd have sum 56
n + n+2 + n+4 + n+6 = 56
4n + 12 = 56
4n = 44
n = 11
the numbers are 11, 13, 15, and 17
Answer:
1.33
Step-by-step explanation:
62 can only be subtracted from 82 once. So 82.46-62 would be 20.46. Since you can't subtract anymore you put a decimal point. 62x3=186 and 20.46-186=1.86 and you can subtract 186-186=0.
According to HL theorem if one leg and hypotenuse of one right triangle are equal to one leg and hypotenuse of other right triangle, then the triangles are congruent.
By using this theorem we can set up the system of equations as follows:
x=y+1 ...(1)
2x+3= 3y + 3 ..(2)
By using equation (1) next step is to plug in y+1 for x in equation (2). So,
2 ( y + 1) + 3 = 3y + 3
2y + 2 + 3 = 3y + 3 By using distribution property.
2y + 5 = 3y + 3
2y + 5 - 5 = 3y + 3 - 5 Subtract 5 from each side.
2y = 3y - 2
2y - 3y = -2 Subtract 3y from each sides.
-y = -2
So, y=2
Next step is to plug in y=2 in equation (1) to get the value of x. Hence,
x= 2+1
=3
So, x=3 and y=2 make these triangles congruent.
So, the correct choice is 3. x = 3, y = 2.
if we take 31 to be the 100%, what is 28 off of it in percentage?
![\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 31&100\\ 28&x \end{array}\implies \cfrac{31}{28}=\cfrac{100}{x}\implies 31x=2800\implies x=\cfrac{2800}{31} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill x\approx 90.32~\hfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Bccll%7D%20amount%26%5C%25%5C%5C%20%5Ccline%7B1-2%7D%2031%26100%5C%5C%2028%26x%20%5Cend%7Barray%7D%5Cimplies%20%5Ccfrac%7B31%7D%7B28%7D%3D%5Ccfrac%7B100%7D%7Bx%7D%5Cimplies%2031x%3D2800%5Cimplies%20x%3D%5Ccfrac%7B2800%7D%7B31%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20~%5Chfill%20x%5Capprox%2090.32~%5Chfill)
Answer:
Step-by-step explanation:
600g of 20%
100 - 20 = 80
600 = 80%
/80%
7.5 = 1%
x100
750 = 100%
£750
Sorry I don’t know what else to write. Hopefully, this guarantees you a mark.
