What is the reason for each step in the solution of the inequality? 4(x+6)> −5(x+5)−14 select the reason for each step from the drop-down menus. 4(x+6)> −5(x+5)−14 given 4x+24> −5x−25−14 choose 4x+24> −5x−39 choose 4x+63> −5x addition property of order 63> −9x subtraction property of order  −7< x       choose

4(x + 6) > −5(x + 5) − 14 Given

(4)(x) + (4)(6) > (-5)(x) + (-5)(5) - 14

4x + 24 > −5x − 25 − 14 Distributive property

4x + 24 > -5x - (25 + 14)

4x + 24 > −5x − 39 Simplify right side

4x + 24 + 39 > -5x -39 + 39

4x + 63 > −5x  Addition property of equality

4x - 4x + 63 > -5x - 4x

63 > −9x Subtraction property of equality

63 : (-9) < -9x : (-9)    /-9 < 0 → switch the signs/

−7 < x      Division property of equality

chicken chicken chicken

step-by-step explanation:

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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