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:
The answer A
Step-by-step explanation:
B: You need a side that is longer than 2 equal sides. B is incorrect.
A: Try
9^2 + 12^2 = 15^2 if that works, A will work.
81 + 144 = 225
This works. I used these numbers because they were easier to see.
0.9^2 + 1.2^2 = 1.5^2
0.81 + 1.44 = 2.25
2.25 = 2.25
That is the answer A
But we have to check the other two.
C:
0.9^2 = 0.81
1.2^2 = 1.44
1.8^2 = 3.24 This won't work. 3.24 is just too big.
D:
0.9^2 = 0.81
0.6^2 = 0.36
1.5^2 = 2.25 It's too far away.
The measure of the three angles are 56, 28 , 192 degree
<h3>What is a Triangle ?</h3>
A triangle is a polygon with three sides , three vertices an three angles.
It is given to make system of equations
Let the measure of the first , second and third angle be x, y and z
the sum of the measures of the first two angles is 12 less than the measure of the third angle.
x +y = z -12 ----1
the measure of the first angle is twice as big as the measure of the second angle.
x = 2y
Now equation 1 will be
z - 3y = 12
x +y+z = 180
2y +y +z = 180
3y +z = 180 ----2
z - 3y = 12------3
On solving the system of equation 1, 2
2z = 192
z= 96 degree
3y = 180-96
y = 28
x = 56
Therefore the measure of the three angles area 56, 28 , 192 degree.
To know more about Triangle
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I pretty sure you would use x over 38.00 = 20 over 100 then cross multiply them
Answer:
3/3=1
Step-by-step explanation:
