5х + 6y=50 X-6y= -26

Mathematics

1 answer:

kondaur [170]2 years ago

8 0

Answer:

x=4 and y=5

Step-by-step explanation:

Find x by adding the two equations so that the 6y and -6y will cancel out.

You're left with 6x=24 which you divide 6 on both sides to get x=4.

Then to find y you will plug 4 into either equation for x. I chose the second equation, so 4-6y=-26, get -6y alone by subtracting the 4 over to the other side. then -6y=-30, then divide both sides by -6 and you get y=5.

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In JKL, mJ = 90, mK = 30, and mL = 60. Which of the following statements about JKL are true?

kumpel [21]

The <em><u>correct answers</u></em> are:

KL = 2*JL; JK = (√3)JL; and JK = ((√3)/2)KL

Explanation:

This is a 30-60-90 right triangle. This type of triangle has a special relationship among the sides. Let the smallest side, across from the 30° angle, be t. This means JL = t.

The hypotenuse of the triangle is two times the length of the smallest side; this means that KL = 2t, which means that KL = 2*JL.

The side of the triangle opposite the 60° angle will be the "medium sized" side; it is equal to √3 times the smallest side, or √3t; this gives us that JK = √3t = (√3)JL.

Comparing JK to KL, we have

$\frac{t\sqrt{3}}{2t}$