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Dafriskymonkey · Answer 1 · 2023-11-19T23:36:08+0000

Answer:

b=3√(13)

Explanation:

Segment Addition Postulate:

$\bar{PY}=\bar{MP}+\bar{MY}$

Substitute MP = 4, MY = 9 into PY = MP + MY:

$\bar{PY}=4+9$

Calculate PY = 4 + 9:

$\bar{PY}=13$

Representing same angles:

$cos A = leg adjacent to <A/hypotenuse:[tex]cos(Substitute DY = b, PY = 13 into cos (<DYP)=DY/PY:[tex]cos(Substitute <DYP=<DYM into cos(<DYP)=b/13:[tex]cos(cos A=leg adjacent to <A/hypotenuse:[tex]cos\left(Substitute DY=b, MY=9, cos(<DYM)=b/13 into cos (<DYM)=MY/DY:[tex](b)/(13)=(9)/(b)$

Calculate b/13=9/b:

b=3√(13)

I hope this helps you :)

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