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
Answer:
11 = x
Step-by-step explanation:
The given angles are alternate interior angles so they have same measurement
66 = 6x divide both sides by 6
11 = x
Multiply length times width to find the area. 6.5x11= 71.5
Answer:
The music director can make 15 groups of performers with 6 sixth grade students and 5 seventh grade students in each group.
Step-by-step explanation:
A school chorus has 90 sixth-grade students and 75 seventh-grade students.
Factor these two numbers:
Find GCF(90,75):
Now,
Therefore, the music director can make 15 groups of performers with 6 sixth grade students and 5 seventh grade students in each group.
Answer:
The segment opposite to angle D is CF.
Step-by-step explanation:
To find what angle is opposite to a side. All you just have to do is see which segment doesn't touch that angle. We see that angle D does not touch CF, so angle D must be opposite to CF.