+0  
 
0
131
3
avatar+102 

https://prnt.sc/hxrszx

 

https://prnt.sc/hxrt6n part 1

https://prnt.sc/hxrt8a part 2

 

https://prnt.sc/hxrtrc part 1 

https://prnt.sc/hxrtsr part 2 

https://prnt.sc/hxrtu0 part 3 

Severoth  Jan 8, 2018

Best Answer 

 #1
avatar+7056 
+2

 

(a)  Yes. m∠ACB  =  m∠ECD since they are vertical angles, and  m∠ABC  =  m∠CDE . So by the AA congruency postulate,  △ABC ~ △EDC  .

 

(b)  Since  △ABC ~ △EDC  ....

 

DE / DC   =   BA / BC

 32 / 22    =   BA / 100     Multiply both sides of the equation by 100 .

145.45     ≈   BA

 

The width of the river is approximately  145.45 ft.

hectictar  Jan 8, 2018
Sort: 

3+0 Answers

 #1
avatar+7056 
+2
Best Answer

 

(a)  Yes. m∠ACB  =  m∠ECD since they are vertical angles, and  m∠ABC  =  m∠CDE . So by the AA congruency postulate,  △ABC ~ △EDC  .

 

(b)  Since  △ABC ~ △EDC  ....

 

DE / DC   =   BA / BC

 32 / 22    =   BA / 100     Multiply both sides of the equation by 100 .

145.45     ≈   BA

 

The width of the river is approximately  145.45 ft.

hectictar  Jan 8, 2018
 #2
avatar+102 
+2

Thanks!

Severoth  Jan 8, 2018
 #3
avatar+102 
0

Thank you so much!

Severoth  Jan 8, 2018

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