Answer:
The length of segment QM' = 6
Step-by-step explanation:
Given:
Q is the center of dilation
Pre-image (original image) = segment LM
New image = segment L'M'
The length of LQ = 4 
The length of QM = 3
The length of LL' = 4
The original image was dilated with scale factor = 2
QM' = ?
To determine segment QM', first we would draw the diagram obtained from the given information.
Find attached the diagram
When a figure is dilated, we would have similar shape in thus cars similar triangles.
Segment L'M' = scale factor × length of LM
Let LM = x
L'M' = 2x
Using similar triangles theorem, ratio of their corresponding sides are equal.
QM/LM = QM'/L'M'
3/x = QM'/2x
6x = QM' × x
Q'M' = 6
The length of segment QM' = 6
 
        
                    
             
        
        
        
Nobody can solve this without any further information?
        
             
        
        
        
Answer: 
Step-by-step explanation:
Given
The two communication mask are 2 km apart
Ubi's home is 500 m east of one of the mask
Suppose its distance from the other's is x
From the figure, we can write
 
 
 
        
             
        
        
        
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