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-Dominant- [34]
3 years ago
9

1. Use the figure below to answer the questions. (a) Solve for x.

Mathematics
1 answer:
Dmitry [639]3 years ago
5 0

Let's see what to do buddy...

_________________________________

The sum of the angles of each n-sided figure is found in the following equation :

(n - 2) \times 180

The question's figure is 5-sindes figure

so the sum the angles equal :

(5 - 2) \times 180 = 3 \times 180 = 540 \\

So we have :

90 + 107 + 144 + 138 + x = 54 0 \\

479 + x = 540

Subtract the sides of the equation minus 479

x = 540 - 479

x = 61

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

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Which is the quotient of 15 divided 4? 4/15, 2 2/3, 3 3/4, 4 4/15
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Step-by-step explanation:

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Simultaneous equations 5x+y=28 x+y=2
ludmilkaskok [199]

Answer:

<h2>( \frac{13}{2}  \:,  -  \frac{9}{2} )</h2>

Step-by-step explanation:

5x + y = 28

x + y = 8

Solve the equation for y by moving 'x' to R.H.S and changing its sign

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Substitute the given value of y into the equation 5x + y = 28

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Move constant to R.H.S and change its sign

4x = 28 - 2

Subtract the numbers

4x  = 26

Divide both sides of the equation by 4

\frac{4x}{4}  =  \frac{26}{4}

Calculate

x =  \frac{26}{4}

Reduce the numbers with 2

x =  \frac{13}{2}

Now, substitute the given value of x into the equation y = 2 - x

y = 2 -  \frac{13}{2}

Solve the equation for y

y =  -  \frac{9}{2}

The possible solution of the system is the ordered pair ( x , y )

<h2>(x \: y) = ( \frac{13}{2} , \:  -  \frac{9}{2} )</h2>

-------------------------------------------------------------

Let's check if the given ordered pair is the solution of the system of equation:

plug the value of x and y in both equation

5 \times  \frac{13}{2}  -  \frac{9}{2}  = 28

\frac{13}{2}  -  \frac{9}{2}  = 2

Simplify the equalities

28 = 28

2 = 2

Since , all of the equalities are true, the ordered pair is the solution of the system.

(x  \:, y \: ) = ( \frac{13}{2}  \: , -  \frac{9}{2})

Hope this helps....

Best regards!!

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