$235, I believe. 240-5=235.
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Answer:
Part A) The triangles ABC and EDC are similar by AAA, because the three internal angles are equal in both triangles
Part B) The width of the river is about ![39\ ft](https://tex.z-dn.net/?f=39%5C%20ft)
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent
Part A) we know that
In this problem , triangles ABC and CDE are similar by AAA, because its corresponding angles are congruent
so
m<DCE=m<ACB -----> by vertical angles
m<EDC=m<ABC -----> is a right angle
m<DEC=m<CAB -----> the sum of the internal angles must be equal to 180 degrees
Part B) we know that
The triangles ABC and EDC are similar -------> see Part A
therefore
![\frac{BC}{DC}=\frac{AB}{DE}](https://tex.z-dn.net/?f=%5Cfrac%7BBC%7D%7BDC%7D%3D%5Cfrac%7BAB%7D%7BDE%7D)
substitute the values and solve for AB
![\frac{65}{25}=\frac{AB}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B65%7D%7B25%7D%3D%5Cfrac%7BAB%7D%7B15%7D)
![AB=15*(\frac{65}{25})=39\ ft](https://tex.z-dn.net/?f=AB%3D15%2A%28%5Cfrac%7B65%7D%7B25%7D%29%3D39%5C%20ft)
Answer:
1: true
2: false
Step-by-step explanation:
1: congruent = equal while supplementary = 180-degrees
2: congruent angles= vertical angles, corresponding angles, alternate interior angles, & alternate exterior angles
25% = 0.25
40 / 0.25 = 160
40 is 25% of 160.
There are 160 children in the club.