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xz_007 [3.2K]
4 years ago
11

A. (1.34)(5.46) = (1.76)(x)

Mathematics
1 answer:
Alja [10]4 years ago
6 0
We are given an equation with an unknown variable x. We can find the value of x by dividing both sides by 1.76, as this will leave only x on the right hand side of the equation and its value on the left hand side, as shown below:

(1.34)(5.46)=1.76(x) \\  \\ 
 \frac{(1.34)(5.46)}{1.76} = \frac{1.76(x)}{1.76}  \\  \\ 
 \frac{(1.34)(5.46)}{1.76} =x \\  \\ 
4.16=x

Thus solving the given equation, we get x =4.16, rounded of to nearest hundredth. 
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A new bridge structure requires triangles that are in a ratio of 1:1. If AC = 2x + 10 and EC = 4x − 18, find the distance betwee
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Answer:  The required distance between the top and bottom of the bridge is 76 feet.

Step-by-step explanation:  Given that a new bridge structure requires triangles that are in a ratio of 1:1.

AC = 2x + 10 and EC = 4x − 18.

We are to find the distance between the top and bottom of the bridge, in feet.

Since the two triangles ACB and DCE are in the ratio 1 : 1, so their corresponding sides are also in the ratio 1 : 1.

The sides AC and EC are corresponding to each other, so we must have

AC:EC=1:1\\\\\Rightarrow \dfrac{AC}{EC}=\dfrac{1}{1}\\\\\Rightarrow AC=EC\\\\\Rightarrow 2x+10=4x-18\\\\\Rightarrow 4x-2x=10+18\\\\\Rightarrow 2x=28\\\\\Rightarrow x=\dfrac{28}{2}\\\\\Rightarrow x=14.

Therefore, the distance between the top and bottom of the bridge is

EA\\\\=EC+AC\\\\=4x-18+2x+10\\\\=6x-8=6\times14-8\\\\=84-8\\\\=76~\textup{feet}.

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4 years ago
Please Help 6th Grade Math! Box Plots! 2 questions (Image attached)​
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In this case there are two 14 & 15

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Since there are no decimal answers you are left with 14

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