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)
X = (23+39)/ 2 = 62/2 = 31
answer
x = 31
She may or may not because it depends on how much is the food and drink
26. 2x^2 +4x -10 = 0 (-4 + - (root(4^2 - 4*2*-10)))/2*2 =
(-4 + - (root(96)))/4
(-4 + (root(96)))/4 ≈ 1.45
(-4 - (root(96)))/4 ≈ -3.45
27. f(x) = 0 when any of the components that multiply together equal 0 for this function therefore x -2 = 0 x +3 = 0 x -5 = 0 so f(x) = 0 when x = 2, -3 or 5
28. It looks like it shows you how to do it
27+7 = 34
so, the answer is 34
