we know XYZ is an isosceles, thus XY = YZ, the perpendicular segment bisectors of QR and QS are also equal to each other in length, because they both are segment bisectors and thus YR=RX=YS=SZ, so any perpendicular line stemming from the same length on each side will meet its counterpart right on the middle of the triangle.
![\bf \stackrel{QR}{\cfrac{x}{2}+2}~~=~~\stackrel{QS}{x - 10}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( \cfrac{x}{2}+2 \right)=2(x-10)}\implies x+4=2x-20 \\\\\\ 4=x-20\implies 24=x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{QR}{\cfrac{24}{2}+2}\implies 12+2\implies 14](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7BQR%7D%7B%5Ccfrac%7Bx%7D%7B2%7D%2B2%7D~~%3D~~%5Cstackrel%7BQS%7D%7Bx%20-%2010%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bmultiplying%20both%20sides%20by%20%7D%5Cstackrel%7BLCD%7D%7B2%7D%7D%7B2%5Cleft%28%20%5Ccfrac%7Bx%7D%7B2%7D%2B2%20%5Cright%29%3D2%28x-10%29%7D%5Cimplies%20x%2B4%3D2x-20%20%5C%5C%5C%5C%5C%5C%204%3Dx-20%5Cimplies%2024%3Dx%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7BQR%7D%7B%5Ccfrac%7B24%7D%7B2%7D%2B2%7D%5Cimplies%2012%2B2%5Cimplies%2014)
First find the area of each wall. This is length*width which would be 12*8.5=102. There are four walls in the room because it’s a square so that would be 102*4=408. So the total area you need to paint is 408ft one gallon will cover 75ft so 408/75=5.44 gallons of paint.
A function is a relation<span> (so, it is the set of ordered pairs) that does not contain two. The </span>domain is<span> the set </span>X= {1,2,3<span>,4} and the range is the subset {a,b,c} of </span>Y<span>.</span>
