Answer:
The actual stage is 42 feet long
Step-by-step explanation:
Step 1
Determine the conversion factor as shown;
1 inch in the drawing represents 3 feet in the actual drawing
To convert a measurement in inches in the drawing to an actual measurement, we use a conversion factor of 3. In the same way, to convert a measurement in feet in the actual stage to the drawing measurement in inches, we use a conversion factor of (1/3).
Step 2
Convert 14 inches in the drawing to the actual measurement of the stage as follows;
Actual stage length=drawing length×conversion factor
where;
drawing length=14 inches
conversion factor=3
replacing;
Actual stage length=(14×3)=42 feet
The actual stage is 42 feet long
The scale factor of dilation from AB to EF is 0.25
<h3>How to determine the scale factor of dilation?</h3>
The given parameters are:
- EFJL is dilation of ABIK
- AB has a length of 12
- EF has a length of 3
From the above parameters, side lengths AB and EF are corresponding sides
This means that:
The scale factor of dilation (k) is
k = AB/EF
So, we have
k = 3/12
Evaluate
k = 0.25
Hence, the scale factor of dilation from AB to EF is 0.25
Read more about scale factors at:
brainly.com/question/15891755
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From the first equation
6x - y = 1
6x - y - 1 = 0
6x - 1 = y
Substituting we get
4x - 3(6x - 1) = -11
Answer:
c
Step-by-step explanation: