Using the dimensions of a reduced rectangle and one given measurement of an original rectangle:
- Set up a proportion using the corresponding parts
- Solve the proportion to find the missing measure
<h3>What is Reduction?</h3>
Reduction is a type of dilation that reduces the size of an original figure to form a new figure that is similar to the original. The corresponding lengths of both figures are therefore proportional.
Assuming the dimensions of the reduced rectangle are 10 cm by 4 cm, and the length of the original rectangle is given as 8 cm, to find the missing measure (x), do the following:
Set up a proportion using the corresponding parts
10/8 = 4/x
Solve the proportion using cross products to find x:
10x = (8)(4)
10x = 32
x = 32/10
x = 3.2 cm
The missing length is 3.2 cm.
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<h2>
Hello!</h2>
The correct option is:
C.
<h2>
Why?</h2>
To find which of the given options are not the result of a substitution in the given system, we need to isolate the variable in function of the other variable, and then substitute it.
So, substituting and discarding, we have:
- First equation:
Isolating "y", we have:
Then, substituting it into the second equation, we have:
We have that it's a result of a substitutiong in the following system (option A)
- Second equation:
Isolating "y", we have:
Then, substituting it into the first equation, we have:
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Answer:
x = 1
Step-by-step explanation: