Answer:4, 6, 8,
Step-by-step explanation:
odd numbers 1,3,5,7,9,11
even numbers 2,4,6,8,10
Answer:
33
Step-by-step explanation:
6x4+9= 33
Check the picture below.
so is really just a thick trapezoid, or namely a trapezoidal prism 5 inches thick.
so if we just get the area of the trapezoidal face and multiply by the thickness, we'd get it's volume
![\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=\stackrel{parallel~sides}{bases}\\ h=height\\[-0.5em] \hrulefill\\ a = 8\\ b = 13\\ h = 6 \end{cases}\implies A=\cfrac{6(8+13)}{2}\implies A=63 \\\\\\ \stackrel{\textit{area of the trapezoidal prism}}{63\cdot 5\implies \stackrel{in^3}{315}}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20trapezoid%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7Bh%28a%2Bb%29%7D%7B2%7D~~%20%5Cbegin%7Bcases%7D%20a%2Cb%3D%5Cstackrel%7Bparallel~sides%7D%7Bbases%7D%5C%5C%20h%3Dheight%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20a%20%3D%208%5C%5C%20b%20%3D%2013%5C%5C%20h%20%3D%206%20%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Ccfrac%7B6%288%2B13%29%7D%7B2%7D%5Cimplies%20A%3D63%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Barea%20of%20the%20trapezoidal%20prism%7D%7D%7B63%5Ccdot%205%5Cimplies%20%5Cstackrel%7Bin%5E3%7D%7B315%7D%7D)
Answer:
mABC = 117 degrees
mBCD = 90 degrees
mDEA = 90 degrees
mCDE = 127 degrees
Step-by-step explanation:
Since ABCDE is congruent/equal to FGHIJ, then each angle corresponds with the angle in the other shape. I.E., A = F, B = G, C = H, etc. Finding the angle for ABC is finding the angle for FGH. This works only because there was no changing the places of the points individually. :)
Answer:
x=5, y=1
Step-by-step explanation:
Isolate x for 5x-3y=22
5x-3y=22
Add 3y to both sides
5x-3y+3y=22+3y
Simplify
5x=22+3y
Divide both sides by 5
5x/5=22/5+3y/5
Simplify
x=22+3y/5
Substitute x=22+3y/5
10*22+3y/5-4y=46
Simplify 10*22+3y/5-4y
10*22+3y/5=2(3y+22)
=2(3y+22)-4y
Expand 2(3y+22)
=6y+44-4y
Simplify 6y+44-4y
=2y+44
Isolate y for 2y+44=46
2y+44=46
Subtract 44 from both sides:
2y+44-44=46-44
Simplify
2y=2
Divide both sides by 2;
2y/2=2/2
Simplify;
y=1
For x=22+3*1/5 substitute y=1
y=22+3*1/5
22+3*1=25
=25/5
Divide the numbers;25/5=5
=5
x=5
The solutions to the system of equations are;
x=5, y=1
