.Kim is x years old. Jordan is 7 years older than Kim. Four times Jordan’s age is equal to 200. (a)Write an equation that could be used to solve for Kim’s age, x. (b)How old is Kim? (c)How old is Jordan? Answer:
Kim = x
Jordan = x + 7
4(x+7) = 200
4x + 28 = 200
4x = 200 - 28
4x = 172
x = 172/4
x = 43. Kim's age
Jordan: x + 7 → 43+7 = 50
now, we know that B and F are midpoints, namely BF is a midsegment of the triangle, and therefore BF || AE, so, the base AE is twice BF.
![\bf 2BF=AE\implies 2(23)=5x-4\implies 46=5x-4\implies 50=5x \\\\\\ \cfrac{50}{5}=x\implies \boxed{10=x}](https://tex.z-dn.net/?f=%5Cbf%202BF%3DAE%5Cimplies%202%2823%29%3D5x-4%5Cimplies%2046%3D5x-4%5Cimplies%2050%3D5x%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B50%7D%7B5%7D%3Dx%5Cimplies%20%5Cboxed%7B10%3Dx%7D)
Of course A does because integers are positive and negative