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Stolb23 [73]
3 years ago
13

if two lines in a plane are cut by a transversal so that a pair of consecutive interior angles is supplemantary are the lines pa

rallel?
Mathematics
1 answer:
Mnenie [13.5K]3 years ago
3 0
Yes, and you can look at the interior angle theorem for extra evidence. hope this helps, xx
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Can you guys help me with those questions? Or if correct
igomit [66]

Answer:

Step-by-step explanation:

i think it is correct

8 0
3 years ago
Find the vertex, focus, directrix, and focal width of the parabola. (5 points)
Anarel [89]

\bf \textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}

\bf -\cfrac{1}{20}x^2=y\implies \cfrac{x^2}{-20}=y\implies x^2=-20y\implies (x-0)^2=-20(y-0) \\\\\\ (x-\stackrel{h}{0})^2=4(\stackrel{p}{-5})(y-\stackrel{k}{0})

something noteworthy is that the squared variable is the "x", thus the parabola is a vertical one, the "p" value is negative, so is opening downwards, and the h,k is pretty much the origin,

vertex is at (0,0)

the focus point is "p" or 5 units down from there, namely at (0, -5)

the directrix is "p" units on the opposite direction, up, namely at y = 5

the focal width, well, |4p| is pretty much the focal width, in this  case, is simply yeap, you guessed it, 20.

8 0
3 years ago
Eight less than four times the number c is twenty.<br> What is the value of c?
olganol [36]

Answer:

c=7

Step-by-step explanation:

The problem says that 8 less than 4 times c is less than twenty, so we can first show 8 less than 20.

4c -( I did this because it said 4 times the number c)

Then, we show 8 less than that.

4c-8

It says it is twenty, and that means it equals twenty.

4c-8=20

Now we solve!

4c-8=20

   +8  +8

*we add 8 to both sides*

4c=28

*we divide both sides by 4 since we want to isolate c*

c=28/4

c=7

I hope this helped!

6 0
3 years ago
Read 2 more answers
Breanne is trying to decide which of her two friends to invite over Friday night for her birthday party. She writes all three of
Olin [163]

Answer:

B

Step-by-step explanation:

Because she doesn't put it back in the bag.

8 0
3 years ago
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Y=-3x + 7?<br><br> what is slope of line y
ipn [44]

Answer:

-3

Step-by-step explanation:

coefficent of x enough to understand slope

4 0
3 years ago
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