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2 years ago

In triangle ABC, angle A is 25 degree, and Angle B is 105 degrees. what is the measure of angle c

Mathematics

1 answer:

Scilla [17]2 years ago

8 0

Angle c= 60°

This is because 105+25+x=180°
Hope this helps and good luck!! :)

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Which are the solutions of x2 = –5x + 8?

Nostrana [21]

Answer:

As exact answers:

$x=\frac{-5-\sqrt{57} }{2}$ and $x=\frac{-5+\sqrt{57} }{2}$

As decimal answers:

x = -6.2749172 ≈-6.3

x = 1.27491722 ≈ 1.3

Step-by-step explanation:

For quadratic equations, you can use the quadratic formula. Rearrange the equation to standard from, which is ax² + bx + c = 0.

x² = –5x + 8

x² + 5x - 8 = 0

State the values for "a", "b" and "c",

a = 1; b = 5; c = -8

$x=\frac{-b±\sqrt{b^{2}-4ac} }{2a}$ (Ignore the Â, it's a formatting error)

$x=\frac{-5±\sqrt{5^{2}-4(1)(-8)} }{2(1)}$ Simplify

$x=\frac{-5±\sqrt{25-(-32)} }{2}$ Two negatives make a positive

$x=\frac{-5±\sqrt{57} }{2}$

Split the equation at the ± for plus and minus:

$x=\frac{-5+\sqrt{57} }{2}$ = 1.27491722 ≈ 1.3

$x=\frac{-5-\sqrt{57} }{2}$ = -6.2749172 ≈ -6.3

Therefore the solutions are 1.3 and -6.3.

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Step-by-step explanation:

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