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3 years ago

Proving parallel lines. Find the value of x so that l // m. State the converse worksheet due tomorrow help please.

Mathematics

1 answer:

kifflom [539]3 years ago

3 0

Answer:

Step-by-step explanation:

Find the diagram attached

The sum of the two adjacent angles is 180 degrees. Hence;

8x-9 + 53 = 180

8x + 44 = 180

Subtract 44 from both sides of the equation

8x + 44 - 44 = 180 - 44

8x = 136

Divide both sides by 8

8x/8 = 136/8

x = 17

Hence the value of x is 17

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How many solutions are there to the system of equations?

hichkok12 [17]

Answer: The system of equations has NO SOLUTION.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Given the following system of equations:

$\left \{ {{4x-5y=5} \atop {-0.08x+0.10y=0.10}} \right.$

Write the first equation and solve for "y" in order to express it in Slope-Intercept form:

$4x-5y=5\\\\-5y=-4x+5\\\\y=\frac{-4x}{-5}+\frac{5}{-5}\\\\y=0.8x-1$

You can identify that:

$m=0.8\\b=-1$

Apply the same procedure with the second equation. Then:

$-0.08x+0.10y=0.10\\\\0.10y=0.08x+0.10\\\\y=\frac{0.08x}{0.10} +\frac{0.10}{0.10}\\\\y=0.8x+1$

You can identify that:

$m=0.8\\b=1$

The slopes of both lines are equal, therefore the lines are parallel and the system has NO SOLUTION.

7 0

4 years ago

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What are the next three terms in the sequence -1, 9, 19, 29

slega [8]

39. each term is ten more than the term before it :)

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4 years ago

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Find the value of x.

Goshia [24]

Answer:

Step-by-step explanation:

cs x is vertical to 58

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3 years ago

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Division was used in the first example.

VLD [36.1K]

Ok

Sulition because I said do

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3 years ago

The equation of a circle whose center is at (1,2) and radius is 5 is (x + 1)² + (y + 2)² = 5 (x - 1)² + (y - 2)² = 25 (x - 1)² -

Oksana_A [137]

$\bf \textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{1}{ h},\stackrel{2}{ k})\qquad \qquad 
radius=\stackrel{5}{ r}
\\\\\\\
(x-1)^2+(y-2)^2=5^2\implies (x-1)^2+(y-2)^2=25$

7 0

3 years ago

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