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2 years ago

Solve for x...........................................................

Mathematics

1 answer:

uysha [10]2 years ago

5 0

Answer:

x = 2 or -2

Step-by-step explanation:

This is a regular hexagon

To find the value of x we will have to find the sum of interior angles first and to do that:

(n-2)*180 (n is the number of angles)

(6-2)*180 = 720 is the sum of all six angles

since this is a regular hexagon, all angles has equal measures so

720/6 = 120 now

30x^2 = 120 divide both sides by 30

x^2 = 4 find the root of both sides

x = 2 or -2

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There are 181 history books and 163 science books in the library. How many science and history books are there altogether?

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Answer:

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When the reciprocal of the larger of two consecutive even integers is subtracted from 4 times the reciprocal of the smaller, the

yawa3891 [41]

Answer: No solution

<u>Step-by-step explanation:</u>

1st number: x

2nd number: x + 2

reciprocal of the larger is $\frac{1}{x+2}$

4 times the reciprocal of the smaller is 4 $(\frac{1}{x})$

reciprocal of the larger of two consecutive even integers is subtracted from 4 times the reciprocal of the smaller is 4 $(\frac{1}{x})$ - $\frac{1}{x+2}$

the result is 56: 4 $(\frac{1}{x})$ - $\frac{1}{x+2}$ = 56

Solve the equation:

4 $(\frac{1}{x})$ - $\frac{1}{x+2}$ = 56

$\frac{4(x(x + 2))}{x}$ - $\frac{1(x(x + 2))}{x+2}$ = 56(x(x + 2))

4x + 8 - x = 56x² + 112x

3x + 8 = 56x² + 112x

0 = 56x² + 109x - 8

Use the quadratic formula to solve:

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The result is NOT AN INTEGER so there is NO SOLUTION

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3 years ago

In how many ways can a family of four be seated at a round table if two brothers must sit together?

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The 4-member family can be seated in 4! ways.
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Diagrammatically, the result is shown in the figure below. The two brothers are family members 3 and 4, shown in shaded color.

Answer: 12 ways.

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