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zubka84 [21]
3 years ago
7

The two polygons are similar. Find the values of x and y. Please help, i will mark brainliest

Mathematics
1 answer:
9966 [12]3 years ago
5 0
Do you have a photo?
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2 years ago
Universal Studios is looking to expand in Ontario. The new theme park will be located equidistant to
sukhopar [10]
<h3>Answer:  (2, 3)</h3>

===============================================

Explanation:

For now, we're only going to consider Newmarket and Markham, which are points N and M respectively.

Let's find the slope of line NM through use of the slope formula.

m = (y2-y1)/(x2-x1)

m = (3-8)/(7-2)

m = -5/5

m = -1

Line NM has a slope of -1. Its perpendicular slope is +1 or just 1.

Rule: If the slopes multiply to -1, then the lines are perpendicular.

Or you can apply the negative reciprocal rule to go from -1 to 1.

We'll keep this perpendicular slope in mind for later.

----------------

Now let's find the midpoint of points N and M.

Add up the x coordinates and divide by 2: (x1+x2)/2 = (2+7)/2 = 4.5

Do the same for the y coordinates:  (y1+y2)/2 = (8+3)/2 = 5.5

The midpoint of N and M is at (4.5, 5.5)

The perpendicular line must go through these two points. I'm going to skip a few steps here, but basically we go from y = mx+b to y = x+1 after plugging in those x,y values and the perpendicular m we found earlier.

--------------------

In short, the perpendicular bisector for line segment NM is the equation y = x+1.

If you follow the same steps as the previous two sections, but you apply them for points M and V instead, then you should find that the perpendicular bisector is y = -3x+9. I'm skipping steps here as well.

----------------------

At this point, we have the system of equations

\begin{cases}y = x+1\\y = -3x+9\end{cases}

Let's use substitution to solve for x and y

y = x+1

-3x+9 = x+1

-3x-x = 1-9

-4x = -8

x = -8/(-4)

x = 2

y = x+1

y = 2+1

y = 3

So together, x = 2 and y = 3 pair up to get the ordered pair solution (x,y) = (2,3)

This is the location where the theme park should be placed. Let's say that C = (2,3). I'm using C for center.

You can use the distance formula to confirm that segments CN, CM and CV are all the same length, which would verify that point C is equidistant from all the other points. Furthermore, it means that points N, M and V are all on the same circle centered at C.

I know it says not to use a graph, but it still helps to see what's going on. Also, it's a handy way to confirm the answer. I used GeoGebra to make the graph. See the diagram below.

Side note: you only need 2 perpendicular bisectors to find point C. You could use three, but that's overkill since they all intersect at the same location.

7 0
2 years ago
Paul has two label-printing machines. Each machine can print 30 labels per minute. On day 1, only the first machine was used, an
Paraphin [41]
90+30x+30y. This is because the first day, 90 labels were printed, then you will use 30 times x to find how many minutes. This is the same for 30 times y. Youre trying to figure out how many minutes each machine printed for.
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3 years ago
Can someone help me pls
qaws [65]

Answer:Example1: 2 and 2 1/2

The mark that is closest to the right end of the glue stick is for 2 1/2 inches.

Answer on last part is 2 1/2 inches

Example 2: 1 2/4 and 1 3/4

The mark that is closest to the right end of the paper clip is for 1 3/4

Answer on last part is 1 3/4

Step-by-step explanation: the ruler is split into halves and fourths between the whole numbers the longer lines are halves shorter are fourths.

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3 years ago
Find the common ratio of the sequence -80,20,-5,1.25
Xelga [282]
Okay well here's what I got.

Hoped It Helped

:)

4 0
2 years ago
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