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sveticcg [70]
3 years ago
12

Three of four numbers have a sum of 22. If the average of the four numbers is 8, what is the fourth number?

Mathematics
1 answer:
Delvig [45]3 years ago
6 0
Let x_1,\ldots,x_4 be the four numbers. Their average is 8, so

\dfrac{x_1+x_2+x_3+x_4}4=8

You know that three of the numbers have a sum of 22, so

\dfrac{22+x_4}4=8

Solve for x_4:

\dfrac{22+x_4}4=8\implies22+x_4=32\implies x_4=10
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Answer:

7\sqrt{2}

Step-by-step explanation:

We know that the missing angle is 45 degrees and the hypotenuse is 14.

If both side angles equal to 45, according to base angle theorem, this triangle is isosceles.

Since this triangle is isosceles, the two legs must be equal. Let x be the legs.

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2 years ago
The coordinates of trapezoid ABCD are A (-6,3) B (-3,6) C (9,6) and D (-5,-8). Find the coordinates of trapezoid A’ B’ C’ D’ aft
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