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2 years ago

Need help solving this proportion....x\4 = 5\7

Mathematics

2 answers:

expeople1 [14]2 years ago

5 0

$\frac{x}{4}= \frac{5}{7}$

$7*x=4*5$

$7x=20$

$x=2\frac{6}{20}$

$x=2\frac{3}{10}$

Orlov [11]2 years ago

5 0

$x/4=5/7 \\ 7x=4*5 \\ 7x=20 \\ x=20/7 \\ x=2+6/7$

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Answer : <em>Equation of line is</em> y=Equation of line is y= $\frac{2}{3}$ x+ $\frac{-5}{3}$

Step-by-step explanation:

Theory :

Equation of line is given as y = mx + c.

Where, m is slope and c is y intercepted.

Slope of given line : y = $\frac{2}{3}$ x+1 is m= $\frac{2}{3}$

We know that line : y = $\frac{2}{3}$ x+1 is parallel to equation of target line.

therefore, slope of target line will be $\frac{2}{3}$ .

we write equation of target line as y= $\frac{2}{3}$ x+c

Now, It is given that target line passes through point ( -5,-2)

hence, point ( -5,-2) satisfy the target line's equation.

we get,

y= $\frac{2}{3}$ x+c

-2= $\frac{2}{3}$ $\times$ -5+ c

-5= $\frac{-10}{3}$ +c

c= $\frac{-5}{3}$

thus, Equation of line is y=Equation of line is y= $\frac{2}{3}$ x+ $\frac{-5}{3}$

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7x - 44 = 4x + 4

Add both sides 44

7x - 44 + 44 = 4x + 4 + 44

7x = 4x + 48

Subtract both sides 4x

7x - 4x = 4x - 4x + 48

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Divide both sides by 3

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______________________________

Suppose that the angle between 39 and 4x + 4 is t degrees as you know they make a straight line together thus :

39 + t + 4x + 4 = 180

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Subtract both sides 107

t + 107 - 107 = 180 - 107

_____________________________

8y - 43 = 4x + 4 + t

8y - 43 = 4(16) + 4 + 73

8y - 43 = 64 + 4 + 73

8y - 43 = 68 + 73

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Add both sides 43

8y - 43 + 43 = 141 + 43

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Divide both sides by 8

8y ÷ 8 = 184 ÷ 8

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