Answer: D. 4
Step-by-step explanation:
In the given picture , we have given a triangle ΔMLN in which
ML= 4x and MN= x+3
∠L=∠N=50°
⇒ MN=ML [∵ Basically by Isosceles triangle property :sides opposite to equal angles of a triangle area equal.]
![\Rightarrow\ x+3=4x](https://tex.z-dn.net/?f=%5CRightarrow%5C%20x%2B3%3D4x)
Subtract x from both sides , we get
![3=3x](https://tex.z-dn.net/?f=3%3D3x)
Divide bothe sides by x , we get
1= x or x =1
Then, the length of MN
= x+3=1+3=4 units
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Middle SchoolMathematics 5+3 pts
A water park keeps track of the number of times each visitor goes down water slides during their visit . The data shows the number of times 12 visitors went down a water slide. 4, 22, 16, 10, 11, 20, 20, 12, 6, 3, 11, 1 Create a histogram of this data.
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Portal0876 · Beginner
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Given:
12 visitors
Visitor # Frequency of going down a water slide
1 4
2 22
3 16
4 10
5 11
6 20
7 20
8 12
9 6
10 3
11 11
12 1
Pls. see attachment for the histogram.
The ribbon leftover will be (2 + 11/30)yd, so the correct option is the third one.
<h3>
How much will she have left after making the bows?</h3>
We know that she wants to make 2 bows, where each bow needs 9/10 yards of ribbon, so for the two bows she needs:
2*(9/10) yd = 18/10 yd.
Now, the total amount of ribbon that she has is:
T = (4 + 1/6) yd = (24/6 + 1/6) yd = (25/6) yd
To see how much she will have left, we just need to take the difference between these two fractions:
Leftover = (25/6) yd - 18/10 yd.
we can use 30 as a common denominator, then we rewrite:
Leftover = (125/30) yd - (54/30)yd = 71/30yd
Now we can rewrite:
Leftover = 71/30 yd = 60/30 yd + 11/30 yd = (2 + 11/30)yd
The correct option is the third one.
If you want to learn more about fractions:
brainly.com/question/11562149
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The answer is the first chart which would be A