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3 years ago

The mean of a,b,c,and d is 9 and the mean of a,b,c,d,e and f is 12. find the mean of e and f

Mathematics

1 answer:

Simora [160]3 years ago

8 0

Answer:

mean of e + f = 18

Step-by-step explanation:

(a + b + c + d)/4 = 9 Multiply by 4

a + b + c + d = 9 * 4 = 36

(a + b + c + d + e + f ) / 6 = 12

but a + b + c + d = 36

(36 + e + f)/6 = 12 Multiply by 6

36 + e + f = 72 Subtract 36 from both sides

e + f = 36 Divide by 2 to find the mean.

(e + f)/2 = 36/2

mean of e + f = 18

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10. b. $\displaystyle 13$

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$\displaystyle 3x - 5 = x + 7 \hookrightarrow \frac{-12}{-2} = \frac{-2x}{-2} \\ \\ 6 = x$

Plug this back into the equation to get $\displaystyle 13$ on both sides.

9. All edges in a square obtain congruent right angles and edges, so set $\displaystyle 45$ equivalent to the given expression:

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8. Both angles are considered supplementary, so turn both expressions into an equation and set it to one hundred eighty degrees:

$\displaystyle 180 = (4x - 15)° + (x + 30)° \hookrightarrow 180° = (15 + 5x)° \hookrightarrow \frac{165}{5} = \frac{5x}{5} \\ \\ \boxed{33 = x}$

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$\displaystyle 90° = 65° + m\angle{VOE} \\ \\ \boxed{25° = m\angle{VOE}}$

I am joyous to assist you at any time.

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2 years ago

The mean of a,b,c,and d is 9 and the mean of a,b,c,d,e and f is 12. find the mean of e and f​

The mean of a,b,c,and d is 9 and the mean of a,b,c,d,e and f is 12. find the mean of e and f