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nevsk [136]
3 years ago
5

Solve for x and Y using the angles shown, please helppp

Mathematics
2 answers:
inna [77]3 years ago
7 0

Answer:

<h2>x = 6, y = 24</h2>

Step-by-step explanation:

We have the vertical angles and supplementary angles.

Vertical angles are congruent. Therefore we have the equation:

(1)\qquad14x+4=4y-8

Supplementary angles add up to 180°. Therefore we have the equation:

(2)\qquad(16x-4)+(14x+4)=180

Solve (2):

(16x-4)+(14x+4)=180\qquad\text{combine like terms}\\(16x+14x)+(-4+4)=180\\30x=180\qquad\text{divide both sides by 30}\\x=6

Put the value of x to (1) and sole:

4y-8=14(6)+4\\4y-8=84+4\\4y-8=88\qquad\text{add 8 to both sides}\\4y=96\qquad\text{divide both sides by 4}\\y=24

Maru [420]3 years ago
4 0

Answer:

x = 6

y = 24

Step-by-step explanation:

(14x + 4) + (16x - 4) <--- you add them because they are supplementary angles and are equal to 180°

(14x + 4) + (16x - 4) = 180

30x = 180

\frac{30x}{30} = \frac{180}{30}

 x = 6

Then you plug in 6 to (14x + 4)

(14(6) + 4) = 84 + 4 = 88

180 - 88 = 92

Now subtract 92 from 180 and make it equal to (4y - 8) to get y.

 (4y - 8) = 180 - 92 ---> (4y - 8) = 88

                                           + 8    + 8

                                         4y = 96

                                          \frac{4y}{4} = \frac{96}{4}

                                               y = 24

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3 years ago
What is an equation of the line that passes through the point (3,6)(3,6) and is parallel to the line 4x-3y=214x−3y=21?
polet [3.4K]

<em><u>Question:</u></em>

What is an equation of the line that passes through the point (3,6) and is parallel to the line 4x-3y=21

<em><u>Answer:</u></em>

<em><u>The equation of the line that passes through the point (3,6) and is parallel to the line 4x-3y=21 is:</u></em>

y = \frac{4}{3}x + 2

<em><u>Solution:</u></em>

Given that line passes through the point (3,6) and is parallel to the line 4x-3y=21

<em><u>The equation of line in slope intercept form is given as:</u></em>

y = mx + c ------- eqn 1

Where, "m" is the slope and "c" is the y intercept

<em><u>Given equation is:</u></em>

4x - 3y = 21

Rearrange,

3y = 4x - 21

y = \frac{4}{3}x - \frac{21}{3}\\\\y = \frac{4}{3}x - 7

On comparing above equation with eqn 1,

m = \frac{4}{3}

We know that slopes of parallel lines are same

Therefore, slope of line parallel to the line 4x - 3y = 21 is 4/3

<em><u>Substitute m = 4/3 and (x, y) = (3, 6) in eqn 1</u></em>

6 = \frac{4}{3} \times 3 + c\\\\6 = 4 + c\\\\c = 2

<em><u>Substitute c = 2 and m = 4/3 in eqn 1</u></em>

y = \frac{4}{3}x + 2

Thus the equation of line is found

4 0
3 years ago
AABC ~ADEF<br> F<br> 21<br> D<br> B<br> N<br> 28<br> E<br> C<br> Solve for N.<br> 28 = ☆<br> N=[?]
sergij07 [2.7K]

Answer:

N = 3

Step-by-step explanation:

\frac{28}{4}  =  \frac{21}{N}  \\  \\ 28N = 21 \times 4 \\ 28N = 84 \\  \\ N =  \frac{84}{28}  \\  \\ N = 3

I hope I helped you^_^

8 0
3 years ago
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