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VladimirAG [237]
2 years ago
11

50 POINTS!!!!!!!!!!!!!!!!!!!!!!!! SOLVE THIS QUICKLY WITH AN EXPLANATION

Mathematics
1 answer:
DaniilM [7]2 years ago
3 0

Answer:

x = 30 degrees

Step-by-step explanation:

angles MNO, LNM, and KNL make a straight line: 105+45+y = 180 --> y = 30 degrees

KNL = 30 degrees

angle KLN is 90 degrees, a triangle is equal to 180 degrees

2x+30+90 = 180

2x = 60

x = 30 degrees

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Answer:

x=2\sqrt{\frac{14}{3}}\ units  or  x=\frac{2}{3}\sqrt{42}\ units

Step-by-step explanation:

we know that

The surface area of a cube is equal to

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In this problem we have

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substitute in the formula and solve for x

112=6x^{2}

x^{2}=112/6

square root both sides

x=\sqrt{\frac{112}{6}}\ units=2\sqrt{\frac{14}{3}}\ units=\frac{2}{3}\sqrt{42}\ units

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