Let us denote the semi arcs as congruent angles. This means that angles FEJ and EFJ are congruent (That is, they have the same measure). Since angles FEJ and EFJ have the same measure, this implies that sides EJ and FJ are equal. Since angles EJK and FJH are supplementary angles to angle EJF, this implies that EJK and FJH have the same measure.
Using the Angle Side Angle (SAS) criteria, we determine that triangles EKJ and triangle FJH are congruent. This implies that sides EK and FH are equal and that angles EKJ and FHJ are congruent. Note that angle EKJ is the same as EKF and that FHJ is the same as FHE.
Once again, since angles EKF and FHJ are congruent, and angle EKD is supplementary to the angle EKJ when angle FHG is supplementary to angle FHJ, then we have that angles EKD and angle FHG are congruent.
Using again the SAS criteria, we determine that triangles EKD and FHG are congruent.
From this reasoning, we have proved the following facts:
Triangle DEK is congruent to triangl GFH
Angle EKF is congruent to angle FHE
Segment EK is the same as segment FH
Answer:
2.1
Step-by-step explanation:
Substitute 6 instead of x To get 18/(6+5e^-0.6)
solve the equation to get 2.06
round to nearest tenth to get 2.1
Answer:
C.) 1.5 cm
Step-by-step explanation:
Answer:
The proof itself
Step-by-step explanation:
We can define the set of all even numbers as
This is, we can define all even numbers as the set of all the multiples of 
As for the odd numbers, we can always take every even number and sum one to each one. This is
Note that 
(the set of all natural numbers adding the zero) so that for 
then 
Now, given 2 odd numbers 
and 
we can write each one as follows:
And then if we multiply them with each other we obtain:
Then we have that 
is also an odd number as we defined them.
Answer:
4.5%
Step-by-step explanation:
We know she made 21/22. That means she miss 1 so subtract 21 from 22. We get 1. then divide 22 by 1. So the equation is
which is about 0.454. Then multiply by 100 to get the percent which is 4.54. Round to nearest tenth and we get 4.5%
