(99 POINTS) Using similarity solve for x. Show all work
2 answers:
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.
Now, cross multiply.
9*25= 225
x*x=
So, find the square root.
√225= 15
x= 15.
I hope this helps!
~kaikers
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.
Now, cross multiply.
9*25= 225
x*x=
So, find the square root.
√225= 15
x= 15.
I hope this helps!
~kaikers
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Answer:
no solutions
Step-by-step explanation:
<u>Solving</u>
Step 1: Subtract 3 from both sides.
Step 2: Subtract 3 from both sides.
Therefore, there are no solutions to this equation.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Yes, the partition gives the two brothers equal shares.
Step-by-step explanation:
Step 1:
Assume the entire field has an area of B. So one brother takes ,
, and
So we need to calculate how much this brother takes in terms of B.
To do this we calculate how much is.
Step 2:
To add ,
First take the LCM of the denominators 12, 6, and 4
The LCM is 12, we multiply the denominator to get the LCM value, this same value is multiplied to the numerator too.
Step 3:
One brother gets , so we need to calculate how much the other brother gets.
The other brother's share =
So both the brothers get equal shares