Let, coordinate of point A' is (x,y).
Since, A' is the symmetric point A(3, 2) with respect to the line 2x + y - 12 = 0.
So, slope of line containing A and A' will be perpendicular to the line 2x + y - 12 = 0 and also their center lies in the line too.
Now, their center is given by :
Also, product of slope will be -1 .( Since, they are parallel )
x = 2y - 1
So, 
Also, C satisfy given line :
Also,
Therefore, the symmetric points is
.
Answer:
Step-by-step explanation:
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:
D is the answer
Step-by-step explanation:
We want a mixture of low-fat and whole milk to equal 32ounces
Therefore, we know one equation is:
l + w = 32
That 32 ounce mixture should be 2% butter fat
So the amount of butter fat we want is
2% of 32 = 0.64 ounces
At the same time, this mixture contains low-fat and whole milk, which contain 1% and 3.25% butter fat respectively.
therefore, the butter fat in low-fat and whole milk is 0.01l and 0.0325w respectively.
The coefficients are just the percentages in decimal form
Due to the law of conservation of mass,
The addition of these two should yield the final amount of butter fat, meaning the other equation is:
0.01l + 0.0325w = 0.64
The measure of the interior angles would be 120°, and they would all add up to be 720°
