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Blizzard [7]
3 years ago
8

In triangle △ABC, ∠C is a right angle and CD is the altitude to AB. Find the angles in △CBD and △CAD if m∠A = 65°

Mathematics
1 answer:
adell [148]3 years ago
6 0

Simple drawing shows that measure interior angle at B is 25 degrees.

Easily seen from a drawing are that measure of angle CBD is 25 degrees, and measure of angle CAD is 65 degrees (which was already given).

Heres the plot formula!

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(x-2)e2/3=49<br><img src="https://tex.z-dn.net/?f=%28x%20-%202%29%20%5E%7B2%20%5Cdiv%203%7D%20%20%3D%2049%20" id="TexFormula1" t
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\bf (x-2)^{2\div 3}=49\implies (x-2)^{\frac{2}{3}}=7^2\implies \stackrel{\textit{raising both sides by }\frac{3}{2}}{\left( (x-2)^{\frac{2}{3}} \right)^{\frac{3}{2}}=(7^2)^{\frac{3}{2}}} \\\\\\ (x-2)^{\frac{2}{3}\cdot \frac{3}{2}}=7^3\implies (x-2)^1=7^3\implies x=7^3+2\implies x=345

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