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AleksAgata [21]
4 years ago
8

List the sides in order from shortest to longest in ∆ABC, with m angle A = 80, m angleB = 3x + 5, and m angle C = 5x - 1.

Mathematics
1 answer:
galina1969 [7]4 years ago
7 0
M<A + m<B + m<C = 180
80 + 3x + 5 + <span>5x - 1 = 180
8x + 84 = 180
8x =96
x = 12

m<</span><span>B = 3x + 5 = 3(12) + 5 = 41
m<C = </span><span>5x - 1 = 5(12) - 1 =59
and 
m<A = 80

</span><span>answer:

order from shortest to longest in ∆ABC</span><span>
AC, AB, BC

P.S.
Smallest angle, shortest side.....
Largest angle, longer side....

</span>
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Help please!!!!!!!!!!!!!!!!!!!!
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9514 1404 393

Answer:

  (c) The solution -6 is an extraneous solution

Step-by-step explanation:

If you solve the equation graphically, you can avoid extraneous solutions. The true solution is x = -1.

You can tell from the equation that the domain will be restricted to values of x that make the radical non-negative:

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The conventional solution method has you square both sides and solve the resulting quadratic.

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The solution x=-6 is not in the domain, so is extraneous.

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<em>Additional comment</em>

Graphical solution is often easier if the equation is in the form f(x) = 0. That form can be had by subtracting one side of the equation from both sides. In the attached, we subtracted √(x+10) from both sides. (We added the negative branch of the square root function to show where the extraneous root comes from.)

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