Ok, to prove the two triangles, we need reasoning:
1) the side AC is common (as you can see, both triangles share the side AC)
2) angle DCA is equal to angle BAC (this is due to alternate angles)
3) angle BCA is equal to angle DA (again, this is due to alternate angles)
P’(x)=12x^2+2cx+1
Take the derivative and then use the diffraction rules and deferentiate and simplify
A) 2*4/5=8/5=1.6. The blue ribbon was 1.6 meters long before it was cut.
B) 1.6*25/100=40/100=0.4
The length of the piece Linda cut off is 0.4 meters
2,380 m^
Ratio of the sides 14/36 = 7/18
Ratio of the area is the ratio of the sides squared (7/8)^=49/324
49/324 = 360/A
A= 360*324 divided by 49 = 2,380.4081