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Svetllana [295]
3 years ago
5

The interior angles of a triangle have measures 90°, 48°, and xº. What is the value of x?

Mathematics
1 answer:
Ahat [919]3 years ago
6 0

Answer:

42°

Step-by-step explanation:

The interior angles of a triangle always add to 180 degrees.

90+48+x=180

x=180-90-48

=42

x is 42°

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In two or three sentences explain how you would solve for the real solutions of the following equation: please help asap!!
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Step-by-step explanation:

   x^{3} = - 64

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   We can write 64 as  4^{3}

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  using the identity  ( x^{3}+y^{3} = (x+y)(x^{2} -xy+y^{2} ) )

we get,

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solutions of this quadratic equation can be obtained by

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let use y for factors

x=-(-4x)+-\sqrt{(-4x^{2} )-4*x^{2} *16}  / 2*x^{2}

x=4x+-\sqrt{16x^{2} -64x^{2} } /2x^{2}

x=4+-\sqrt{16-64}/2

x=4+-4\sqrt{3i} /2

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from the equation 1 we have,

x-4=0

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so the real solutions for the equation x^{3}=-64 are -

x=4,2+-2\sqrt{3i}

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iVinArrow [24]
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