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VMariaS [17]
2 years ago
13

Determine the value of x and y and the following diagram

Mathematics
2 answers:
Tatiana [17]2 years ago
7 0

Answer:

Step-by-step explanation:

first subtract 125-180=X you will get   X=55 so then add  X+X+y=180 which x+x+y= is actually  55+55+y=180 but don't add the y just yet add 55+55 then you will get 110+y=180 so then flip it backwards and do y=180-110 and your anwser is  y=70

goldenfox [79]2 years ago
6 0
By vertically opposite angles 3x + 9 = 4y + 8
By interior angles 4y + 8 + 3y - 14 = 180
So 7y -6 = 180
7y = 186
y = 186/7 = 26.57142857142857
By first equation 3x + 9 = 4 * 186 / 7 + 8
3x + 1 = 106.2857142857143
x = 35.0952380952381

These are x and y values, may be you can round off these values
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Answer:

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13x+3y=11 (standard form)

Let me know if you prefer another form.

Step-by-step explanation:

The slope of a line can be found using \frac{y_2-y_1}{x_2-x_1} provided you are given two points on the line.

We are.

Now you can use that formula.  But I really love to just line up the points vertically then subtract them vertically then put 2nd difference over 1st difference.

 (4/5  ,  1/5)

-( 1/2  ,  3/2)

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

3/10          -13/10

2nd/1st = \frac{\frac{-13}{10}}{\frac{3}{10}}=\frac{-13}{3} is our slope.

So the following is point-slope form for a linear equaiton:

y-y_1=m(x-x_1) \text{ where } m \text{ is slope and } (x_1,y_1) \text{ is a point on the line }    

Plug in a point (x_1,y_1)=(\frac{1}{2},\frac{3}{2}) \text{ and } m=\frac{-13}{3}.

This gives:

y-\frac{3}{2}=\frac{-13}{3}(x-\frac{1}{2})

I'm going to distribute:

y-\frac{3}{2}=\frac{-13}{3}x-\frac{-13}{6}

Now I don't like these fractions so I'm going to multiply both sides by the least common multiply of 2,3, and 6 which is 6:

6y-9=-26x+13

Add 26x on both sides:

26x+6y-9=13

Add 9 on both sides:

26x+6y=22 This is actually standard form of a line.

It can be simplified though.

Divide both sides by 2:

13x+3y=11 (standard form)

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3 years ago
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Step-by-step explanation:

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sineoko [7]
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