Answer:
The chord is bisected.
Step-by-step explanation:
see the attached figure to better understand the problem
In the circle of the figure
The diameter is the segment DE
The chord is the segment AB
PA=PB=r ----> radius of the circle
Triangles PAC and PBC are congruent right triangles by SSS
Because
PA=PB
PC is a common side
AC=BC ----> Applying Pythagoras Theorem
therefore
The chord AB is bisected
5 x 40 = 200
200 x 3 = 600
Carin laughs 600 times every day due to the comedy shows.
(That is a hell lot of laughing in one day... )
;)
Answer:
one solution
Step-by-step explanation:
20/3 - Take the 6 2/3, multiply the 6 and the 3 (6 x 3 = 18), then add the 2 (18 + 2 = 20). Put that number over the original 3 and you've got yourself a mixed number.
Let x be the number of boys, the number of girls will be 200-x
Number of boys with blue eyes x/3
Number of girls with blue eyes (200-x)/4
ll blue eyes ==> x/3 + (200-x)/4 = 57
Reduce to same denominator & solve for x
(4x + 600 - 3x)/12 = 681/12
x=81, the total number of boys & girls200-81 119
