I believe the answer is 1.1112007e+16 because 14^5=537824 and 14^-9= 4.8400258e-11. You divide both numbers and get 1.1112007e+16
21.625 is your answer to 865/40
-6 and 4.5
So to do this you’ll make an equation x will represent the number so 4x^2+6x=108 so we want the equation to equal 0 so we can solve it to do that you have to subtract 108 from both sides so it ends up being 4x^2+6x-108=0 we want to isolate the x onto one side and division property allows us to divide both sides by 2 the reason it’s two is because 2 is the biggest divisible number that every number in the equation is divisible by so once you divide every number by two you get 2x^2+3x-54=0 now you have to factor cause but since you only have 3x and nothing else to factor with you have to write 3x as a difference so you could do 2x^2+12x-9x-54=0 so you are complicating the problem so you can factor out 2x from the expression so 2x(x+6)- 9(x+6)=0 the 54 got factored because it’s divisible by 9 that 6 is in replace of the 54 cause if you solved it 9x6 is still 54 next factor out x+6 so (x+6) x (2x-9) =0 so one of the two have to equal 0 so right the equations separately x+6=0 minus 6 from both sides and you’ll get x to equal -6 and 2x-9=0 add 9 to both sides and you’ll get 2x=9 divide both sides by 9 and you’ll get x to equal 4.5 when you plug 4.5 and -6 for x the equation works out
Since the triangles are similar, then 32 = x+7 those two angles are too
solve for "x"
now using proportions
solve for JK
solve for KG
the scale factor of the perimeter of both triangles is just the same as the ratio of the sides, or
Find out which fraction is bigger. 1/3 or 1/2
1/3 = 2/6 and 1/2=3/6.
3 > 2
so 1/2>1/3
Hope this helps.
