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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
