Expand and simplify 4(x-3)+3(2x-5).
1 answer:
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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
Answer:
Therefore the Perimeter of the room is 94 ft.
Step-by-step explanation:
Given:
Where ,
P = Perimeter
l = Length = 26 ft
w = Width = 21 ft
To Find:
Perimeter of the room = ?
Solution:
Perimeter of Rectangle is given as
Substituting 'l' and 'w' we get
Therefore the Perimeter of the room is 94 ft.