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4vir4ik [10]
2 years ago
9

What is the length of XY

Mathematics
1 answer:
arsen [322]2 years ago
4 0

Answer:

6

Step-by-step explanation:

We know that MY is the same length as XM according to definition of segment bisector. We can create an equation:

5x + 8 = 9x + 12

Minus 8 on both sides

5x = 9x + 4

-4 = 4x

x = -1

Now substitute both sides of the equation with -1 instead of x

-5 + 8 = -9x + 12

3 = 3

XY = MY + XM

XY = 3 + 3 = 6

Hope this helps :)

Have an awesome day!

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Answer: 35 additional teachers are needed

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

Explanation:

We have 2470 students and the ratio of students to teachers is 26:1. This means that for every teacher, there are 26 students. Put another way, we can set up this ratio

2470/x = 26/1

where x is the number of teachers. Cross multiply and solve for x

2470/x = 26/1
2470*1 = 26*x
2470 = 26x
26x = 2470
26x/26 = 2470/26
x = 95

So we have 95 teachers currently

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

Let y be the new number of teachers needed to bring the ratio down to 19:1

Using a similar idea as done above, we would have this ratio

2470/y = 19/1

Let's solve for y
2470/y = 19/1
2470*1 = 19*y
2470 = 19y
19y = 2470
19y/19 = 2470/19
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So we'll need 130 teachers to have the ratio be 19:1

The difference of the values is y - x = 130 - 95 = 35, which is the final answer. This is the additional amount of teachers needed.
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