The sum of internal angles of a triangle is 180°, so:
3x+2x+50+x+46=180
6x=84
x=14
angle a = 3*14=42
angle b = 2*14+50=78
angle c = 14+46=60
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:
G(f(x)) = A. 3x + 7
Step-by-step explanation:
Plug F(x) into the x on G. so (3x+2) +5 = 3x+7
Answer:
she can only make 25 pastries
Step-by-step explanation:
because 200 fits in 500 only 2.5 and if 1 pastry = 10 pastries then it should be 25 despise the flour that lets us do 30 pastries but we don't have enough butter and there's infinite water soo ye.
You're welcome
Its 12 because 4 times 12 is 48 if you add 7 to 48 you get 55
