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soldier1979 [14.2K]
2 years ago
13

Solve for the variables x and y

Mathematics
1 answer:
ycow [4]2 years ago
5 0

Answer:

Step-by-step explanation:

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(99 POINTS) Using similarity solve for x. Show all work
Anna11 [10]
Hey there! :D

The biggest thing to remember here is the similar triangles and their side lengths. 

Okay, so we can separate these triangles into 3 similar triangles. Which, we only need to do that to two for a proportion, but if you were to have more variables, you could separate the triangles even more if you needed to. 

We want to find two triangles that have "x" has a value of their side, so we can solve a proportion. 

The bigger triangle, (the whole two triangles combine) and the smaller triangle on the left can be used to make a proportion.

On the smaller triangle:

We have 9 cm on the shorter side and x as the hypotenuse. 

On the larger triangle: 

We have x as the shorter side, and then 25 as the hypotenuse. (9+16)

Note: You have to flip the larger triangle upside down to make it a similar structure to the other two triangles. It is similar, you just have to flip it. 

So, now we can make a proportion. 

\frac{x}{9} =  \frac{25}{x}

Now, cross multiply. 

9*25= 225

x*x= x^{2}

So, find the square root. 

√225= 15

x= 15. 

I hope this helps!
~kaikers
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3 years ago
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Misha Larkins [42]

Answer:

11/32

Step-by-step explanation:

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3 years ago
At the bank of a river, by measurement, a = 9 ft., b = 15 ft., c = 12 ft., and d = 7 ft.How long is x?
Orlov [11]

Answer: x is 20

Step-by-step explanation:

This is ratio

a : c = b : x and d : unknown

a : c = 9 : 12 = 3 : 4 which is 9/12

b : x = 15 : x which is 15 / x

So the proportion will be :

3/4 = 15/x

So Cross multiplying

3x = 90

Divide both side by 3

x = 90/3

x = 20

7 0
3 years ago
PLS HELP!!!
elena-s [515]
The answer is a h(1.25)=20
5 0
3 years ago
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Explain where Earth is found in the universe.
Aliun [14]

Answer:

Earth is the planet we live on, one of eight planets in our solar system and the only known place in the universe to support life. Earth is the third planet from the sun, after Mercury and Venus and before Mars. It is about 150 million kilometers (about 93 million miles) from the sun.

Step-by-step explanation:

3 0
3 years ago
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