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2 years ago

What is the value of x? Also show work pls

Mathematics

1 answer:

drek231 [11]2 years ago

4 0

Answer:

x = 34

Step-by-step explanation:

The angles are corresponding angles and corresponding angles are equal if the lines parallel

2x+3 = 71

Subtract 3 from each side

2x+3-3 = 71-3

2x = 68

Divide by 2

2x/2 = 68/2

x = 34

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The denominator of a fraction is 4 more than the numerator if both are decreased by 3 the simplified result is 6/7 find original

Hitman42 [59]

Answer:

The denominator of a fraction is 4 more than the numerator. The original fraction is $\frac{27}{31}$

Solution:

Given that

Denominator of fraction is 4 more than the numerator.

Let’s say numerator of fraction be represented by variable x.

So denominator of a faction as it is four more that numerator will be x + 4

Also given if both decreased by three than simplified result is $\frac{6}{7}$

$=>\frac{(x-3)}{((x+4)-3)}=\frac{6}{7}$

Solving above equation for x

=> 7(x – 3 ) = 6 ( x + 1 )

=> 7x – 21 = 6x + 6

=> 7x – 6x = 6 + 21

=> x = 27

Numerator of fraction = x = 27

Denominator of fraction = x + 4 = 27 + 4 = 31

$\text {required fraction}=\frac{\text {numerator}}{\text {denominator}}$

$= \frac{27}{31}$

Hence the original fraction is $\frac{27}{31}$

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3 years ago

What is (f + g)(x)? f(x) = -2x^2 g(x) = -2x^2 + 9x

andreyandreev [35.5K]

Answer:

-4x^2+9x

Step-by-step explanation:

Adding boh gives

(f+g)(x)=-2x^2+(-2x^2+9x)

=-2x^2-2x^2+9x

=-4x^2+9x

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Step-by-step explanation:

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