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Pavel [41]
3 years ago
13

Janet makes the conjecture that line p is also parallel to line r . What must the value of y be for her conjecture to be correct

?
show your work!!! am off 75 points and brainliest answer.​

Mathematics
1 answer:
sweet [91]3 years ago
7 0

Answer:

A. 6.75

Step-by-step explanation:

8x+18=4x+57

8x-4x=57-18

4x=39

4x+57=180-(8y+30)

39+57=180-8y-30

96=150-8y

8y=150-96

= 54

y= 54/8 = 6.75

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PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*.. <br> IM GIVING 40 POINTS !! DONT SKIP :((.
Anna71 [15]

Answer:

m = 1/3

b = -6

Step-by-step explanation:

How to calculate slide (m):

\frac{y_{1} - y_{2} }{x_{1} - x_{2} } = m

x1 = 0

x2 = -12

y1 = -6

y2 = -10

If we put in the values:

\frac{(-6) - (-10)}{0 - (-12)} = m

Subtracting a negative number is the same as adding it:

\frac{(-6) + 10 }{0 + 12} = m

-6 + 10 = 4 and 0 + 12 = 12 so now we have this:

\frac{4}{12} = m

Lets simplify:

4 and 12 can both be divided by 3:

\frac{1}{3}  = m

3 and 1 are prime numbers and cannot be simplified further.

Now we know that m=1/3

Since:

y = mx + b

y = -6

x = 0

m = 1/3

Then:

-6 = 1/3*0 + b

1/3*0 is 0, so we can just remove that part:

-6 = b

that means b is equal to -6

Hope i was able to help!

If you have any questions, just ask them in the comments below!

Have a good day! (●'◡'●)

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The difference is in which in way that they can be separated.

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While all three of these include mixtures of two or more things, a suspension can typically be re-separated by using a centrifuge and a solution can be filtered out. A colloid on the other hand, cannot typically be separated after it is put together.  

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