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cupoosta [38]
3 years ago
15

Kate has a kite with the dimensions shown below. What is the value of X?

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
6 0
Hey there! :D

We will use the properties of similar triangles to figure this out. 

We will use two triangles inside the kite, with sides with the value of "x". 

Smaller triangle:

Smaller side= 11

Bottom side= x

Bigger triangle:

Smaller side= x

Bottom side= 25

\frac{11}{x} = \frac{x}{25}

Cross multiply. 

25*11= 275

x*x= x^{2}

Find the square root. 

√275= 16.583.... 

Or 5√11. 

I hope this helps!
~kaikers

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Describe in words where the square root of twenty-four would be plotted on the number line.
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The square root of 24 would be plotted between 4 and 5, but closer to 5 on a number line.

<h3>What is a number line?</h3>

A number line is a horizontal line with evenly spaced numerical increments. The numbers on the line will dictate how you answer the number on the line.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, denoted by \mathbb {R}. Every point on a number line is assumed to be a real number, and every real number is assumed to be a point.

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5 0
1 year ago
Are they similar? Please help, I'm overthinking this problem....​
sveticcg [70]
<h3>Answer: The rectangles are <u>not</u> similar</h3>

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

Explanation:

Divide the vertical sides to get the fraction 18/7

Divide the horizontal sides to get the fraction 30/6

If the rectangles were similar, then 18/7 = 30/6 is a possibility (there's one more possibility but we'll get to it later).

If 18/7 = 30/6 were true, then we should be able to cross multiply and get another true statement. Let's find out

18/7 = 30/6

18*6 = 7*30

108 = 210

We get a false statement, which means the original equation is false.

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

Now let's say we rotated the bottom rectangle so that the '7's were horizontal and the '6's were vertical. We'll divide the corresponding horizontal sides and vertical sides to get the two fractions of 30/7 and 18/6

Let's see if we have a true equation or not

30/7 = 18/6

30*6 = 7*18

180 = 126

Like before, we end up with a false equation which means the original is false.

No matter how we rotate the rectangles, we do <u>not</u> end up with similar figures.

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

Here's another way to see we don't have similar rectangles. We'll form the fraction 18/30 based on dividing the vertical and horizontal sides of the upper rectangle. The lower rectangle gives us 7/6

18/30 = 7/6

18*6 = 30*7

108 = 210

This is more evidence that the rectangles aren't similar. The same will happen if we tried 18/30 = 6/7

8 0
3 years ago
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