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Vinvika [58]
3 years ago
7

What is the value of x?

Mathematics
1 answer:
Oduvanchick [21]3 years ago
7 0

Answer:

x = 19

Step-by-step explanation:

Vertical angles are equal

So

7x - 8 = 6x + 11

7x - 6x = 11 + 8

x = 19

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Complete the point-slope equation of the line through (2,3 and (7,4). Use exact numbers.
uysha [10]

The point-slope equation of the line is y-3=\frac{1}{5}(x-2)

Step-by-step explanation:

The form of the point-slope equation is y-y_{1}=m(x-x_{1}) , where

  • m is the lope of the line
  • (x_{1},y_{1}) is a point lies on the line

The slope of a line m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} , where

(x_{1},y_{1}) and (x_{2},y_{2}) are two points on the line

∵ The line through (2 , 3) and (7 , 4)

∴ x_{1} = 2 and x_{2} = 7

∴ y_{1} = 3 and y_{2} = 4

- Substitute these value in the rule of the slope

∵ m=\frac{4-3}{7-2}=\frac{1}{5}

∴ the slope of the line is m=\frac{1}{5}

Let us substitute the value of the slope and the coordinates of point (x_{1},y_{1}) in the form of the equation

∵ y-y_{1}=m(x-x_{1})

∵ x_{1} = 2 and y_{1} = 3

∵ m=\frac{1}{5}

∴ y-3=\frac{1}{5}(x-2)

The point-slope equation of the line is y-3=\frac{1}{5}(x-2)

Learn more:

You can learn more about the linear equation in brainly.com/question/12941985

#LearnwithBrainly

3 0
3 years ago
A website offers video game downloads for $5 each. customers can also subscribe for us
Nikitich [7]

Answer:

Here is the answer

Step-by-step explanation:

Btw brainliest me plss

8 0
3 years ago
The measure of angle 6 is 98°. What is the measure of angle 7?
otez555 [7]
Dude, it's impossible to solve without the pic
3 0
3 years ago
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On Rocko's 6th birthday, he was 3 feet, 10 inches. On Rocko's 11th birthday, he was 4 feet, 8 inches, How many inches per year w
enyata [817]
2 inches per year bc it’s over 5 years and he grew 10 inches and 10/5 is 2
5 0
3 years ago
A small theater with 200 seats sells two kinds of tickets for a performance. Premium tickets sell for $20 each and Standard tick
KATRIN_1 [288]
P + s = 200......p = 200 - s
20p + 15s = 3400

20(200 - s) + 15s = 3400
4000 - 20s + 15s = 3400
-20s + 15s = 3400 - 4000
-5s = - 600
s = -600/-5
s = 120 <=== there were 120 standard tickets sold

p + s = 200
p + 120 = 200
p = 200 - 120
p = 80 <=== there were 80 premium tickets sold
7 0
3 years ago
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