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What is the value of x?

Enter your answer, as a decimal, in the box.

MN - AN = MA ...so...

46.2 - 14 = 32.2 = MA

And we have that

MA / MN = 32.2 / 46.2 = 23/33

And the other side has a similar proportion such that

x / 72.6 = 23 / 33 cross-multiply

33x = 23 * 72.6 divide both side by 33

x = [ 23 * 72.6] / 33 = 50.6

In triangle MNP, Sine of angle MPN =46.2/72.6 = Sine of angle ABM =0.636363.......etc.

Side MA =46.2 - 14 =32.2 cm, So you have:

0.636363..... =32.2 /x and x =32.2 /0.636363.... =50.6 cm