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Galina-37 [17]
3 years ago
5

Vertical line q goes through plane H in the center at point X. Line t comes out of point X. Lines r and s are parallel and are a

t a right angle to line q. Line p goes through lines r and s. Which line is parallel to line r? line p line q line s line t
Mathematics
1 answer:
scZoUnD [109]3 years ago
8 0

Answer:

Option C: Line s

Step-by-step explanation:

Let's refer to plane H as being 2D since we are dealing with lines.

Thus, x-axis would refer to the horizontal axis while y-axis will refer to the vertical axis.

Now, we are told that line q goes through plane H in the center at point X and that Line t is one that comes out from point X.

This means that line q and line t are parallel to each other.

Also, we are told that Lines r and s are parallel and that they're at a right angles to line q.

Since line q and line t are parallel to each other, it means that lines r and s are at right angles to both lines q and t

Thus, it means lines r and s are both perpendicular to lines q and t

Now, we are told that line p goes through r and s.

However, we want to find which line is parallel to line r.

From earlier statement we saw that lines r and s are parallel to each other.

Thus; correct answer is "line s"

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Answer:

y = -\frac{1}{3}x + 5

Step-by-step explanation:

The line passes the y axis at 5, so the y intercept is 5. For the slope, the line moves down one and over three, so the slope is negative 1/3.

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As of a certain​ date, there had been a total of 14,404 performances of two shows on​ Broadway, with 2384 more performances of S
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Answer: show A had 8394 performances.

Show B had 6010 performances.

Step-by-step explanation:

Let x represent the number of performances of show A.

Let y represent the number of performances of show B.

As of a certain​ date, there had been a total of 14,404 performances of two shows on​ Broadway. This means that

x + y = 14404 - - - - - - - - - -1

There was 2384 more performances of Show A than Show B. It means that

x = y + 2384

Substituting x = y + 2384 into equation 1, it becomes

y + 2384 + y = 14404

2y = 14404 - 2384

2y = 12020

y = 12020/2

y = 6010

x = y + 2384 = 6010 + 2384

x = 8394

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It is written like this rise/run.

Step-by-step explanation: Start from 8 and RISE (vertically) 4 places, the RUN (horizontally) and count until you get to -12. Then you take your numbers and divide.

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