Mel's Movie House prepares popcorn for 30% more people than the expected attendance at the movies each day. How many people shou
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We are given the following equation and want to find the possible values of x
Subtract both sides by 3x
Now, we have this weird equation. Since -15 is NOT equal 15 and there is no other way we could have solved for x, there is no real solution to the given equation.
In other words, there is no value of x that makes the equation true.
Let me know if you need any clarifications, thanks!
~ Padoru
Answer
Find out the value of x.
To prove
Definition of mid- segment
It is a segment connecting the midpoints of two sides of a triangle.
It is always parallel to the third side, and the length of the midsegment is half the length of the third side.
As shown in the triangle given below.
As given
DE = 5x and BC = 11x – 15
Thus
15 = 11x - 10x
15 = x
Therefore the value of x is 15 .
We sketch two triangles, DFE and DGH, as shown below
Side DF correspond to side DG, the scale factor is 40÷32=1.25
Side DE correspond to side DH, the scale factor is 30÷24=1.25
That leaves us with the last corresponding sides, EF and HG which would also have a scale factor 1.25
Both triangles share the same angle D
We can conclude triangle DFE and triangle DGH are similar for property SSS and SAS
Side DF correspond to side DG, the scale factor is 40÷32=1.25
Side DE correspond to side DH, the scale factor is 30÷24=1.25
That leaves us with the last corresponding sides, EF and HG which would also have a scale factor 1.25
Both triangles share the same angle D
We can conclude triangle DFE and triangle DGH are similar for property SSS and SAS