Answer:
∠DCF = 129°
Step-by-step explanation:
We assume that line CE is between lines CD and CF.
The angle sum theorem applies:
∠DCF = ∠DCE +∠ECF
∠DCF = 75° +54°
∠DCF = 129°
Pythagoras theorem: leg 1 squared + leg 2 squared = hypotenuse squared
In the diagram, the triangle has angles 90 and 45. So the other angle in the triangle must be 45 degrees as well. (180 - 90 -45 = 45)
This means it is an isosceles triangle (since two angles are the same), so the two legs have the same length.
So we can say that length of leg1 = x, and the length of leg2 also equals x
Now let's use pythagoras' theorem:
leg1 = x
leg2 = x
hypotenuse = 16
x^2 + x^2 = 16^2
2x^2 = 16^2
2x^2 = 256
x^2 = 128
x = √(128)
x = 8√2
I hope this helps you
13x-11x=-25-15
2x=-40
x=-20
5t-5t=7+5
0=12 false
Y=2x +4 is non proportional because b does not equal 0
The b in the equation is 4
As long as the y intercept is not more or less than 0, than it will be proportional