Answer:
The correct option is;
B. Yes. The ratios of towers to customers (thousands) are all equivalent to a unit rate of 52 Towers/(Thousand customers)
Step-by-step explanation:
The given data can be presented as follows;
Cell Phone Towers
Customer (thousands) 
Towers
1) 5.25 273
2) 6.25 325
3) 7.25 377
4) 9.25 481
From the given data, we have the ratio Towers/Customer (thousands) given as follows;
For 1), we have;
273 Towers/(5.25 thousands customers) = 52 Towers/(Thousand customer)
For 2), we have;
325 Towers/(6.25 thousands customers) = 52 Towers/(Thousand customer)
For 3), we have;
377 Towers/(7.25 thousands customers) = 52 Towers/(Thousand customer)
For 4), we have;
481 Towers/(9.25 thousands customers) = 52 Towers/(Thousand customer)
Therefore, the ratios of towers to customers (thousands) all have the same equivalent unit rate of 52 Towers/(thousand customers).
1.) 6x=12
x=2
3(2)+3y=-9
6+3y=-9
3y=-3
y=-1
(2,-1)
2.) 7x=-35
x=-5
5x+2y=-19
5(-5)+2y=-19
-25+2y=-19
2y=-44
y=-22
(-5,-22)
3.) 4x=-16
x=-4
2(-4) +3y=1
-8+3y=1
3y=-7
y=-7/3
(-4,7/3)
4.)7x=35
x=5
2(5)+3y=-5
10+3y=-5
3y=5
y=5/3
(5,5/3)
5.) 2x=-8
x=-4
x+4y=4
-4+4y=4
4y=0
y=1
(-4,1)
The use of sine and cosine could give you the angle measuments of the triangle, along with the use of tangent. Not only could it give you the angle measurements but the lengths of the sides.
Let's start with x... Since angle AOE is a 90 degree angle, then we know the supplementary angle EOB is also 90 degrees. The 2 angles that make up angle EOB are given to us as expressions. Added together the must equal 90 degrees...
(x+8) + (2x-8) = 90
3x = 90
x = 30
Now if we look at y, we see it is an opposite angle from angle DOB. Because it is opposite, it is also congruent... so it has to be equal to angle DOB... and since angle DOB is 2x - 8, we can substitute x with the answer we found in the last step, 30, to find the angle.
2x - 8= y
2(30) - 8 = y
60 - 8 = y
y = 52 degrees
Since angle DOB equals 52 degrees, then y = 52 degrees
x = 30 degrees
y = 52 degrees
*Note, you can also find the value of angles GOF and EOD by plugging x (30) into the expressions.
Answer:
A: 7
B: 8
C: 6
Step-by-step explanation:
You have to try to find the the same greatest factor of both of the numbers.
Since both of the numbers are divisible by 7 the number of groups equals 7.
So you divide the number of girls, which is 56, by 7, the number of girls in each group is 8.
Then you divide the number of boys, which is 42, by 7, the number of boys in each group is 6.
