I also posted this answer on your previous question
Amtrak reduced its roundtrip ticket from Boston to Washington by $49. The sale price was $140. What was the original price?
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The similarity ratio of ΔABC to ΔDEF = 2 : 1.
Solution:
The image attached below.
Given ΔABC to ΔDEF are similar.
To find the ratio of similarity triangle ABC and triangle DEF.
In ΔABC: AC = 4 and CB = 5
In ΔDEF: DF = 2, EF = ?
Let us first find the length of EF.
We know that, If two triangles are similar, then the corresponding sides are proportional.
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Ratio of ΔABC to ΔDEF =
Similarly, ratio of ΔABC to ΔDEF =
Hence, the similarity ratio of ΔABC to ΔDEF = 2 : 1.
By applying the segment addition postulate, the <u>value of v = 7</u>
- According to the Segment Addition Postulate, it holds that if point C is between points D and E, therefore:
DC + CE = DE
- Given that:
- Therefore, by substitution, we will have the following equation:
- Open the bracket and solve for the value of v.
- Add like terms
- Add 23 to both sides
- Divide both sides by 5
v = 10
Therefore, using the segment addition postulate, the <u>value of v = 10</u>
Learn more about the segment addition postulate here:
The equation 11x + 10y = 32 is a linear equation, and the solution to the linear equation 11x + 10y = 32 is
The equation is given as:
11x + 10y = 32
Subtract 11x from both sides
10y = 32 - 11x
Divide both sides by 10
Hence, the solution to the linear equation 11x + 10y = 32 is
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