4x-8=3x+9, I think that's the answer
Answer:

Step-by-step explanation:
In leftmost triangle:
opposite side =y
adjacent=a
now, we can use trig formula

now, we can solve for y

In rightmost triangle:
adjacent=b
opposite=y
a+b=15
b=15-a
now, we can use trig formula

now, we can solve for y

now, we can set them equal
and then we can solve for a




now, we can find b


now, we can use trig formula

now, we can find z

we can simplify it
and we get

Given:
The center of the circle = (-2,1).
Circle passes through the point (-5,3).
To find:
The equation of the circle.
Solution:
Radius is the distance between the center of the circle and any point on the circle. So, radius of the circle is the distance between the points (-2,1) and (-5,3).




On further simplification, we get


The standard form of a circle is:

Where, (h,k) is the center of the circle and r is the radius of the circle.
Substitute h=-2, k=1 and
.


Therefore, the equation of the circle is
.
(a) From the histogram, you can see that there are 2 students with scores between 50 and 60; 3 between 60 and 70; 7 between 70 and 80; 9 between 80 and 90; and 1 between 90 and 100. So there are a total of 2 + 3 + 7 + 9 + 1 = 22 students.
(b) This is entirely up to whoever constructed the histogram to begin with... It's ambiguous as to which of the groups contains students with a score of exactly 60 - are they placed in the 50-60 group, or in the 60-70 group?
On the other hand, if a student gets a score of 100, then they would certainly be put in the 90-100 group. So for the sake of consistency, you should probably assume that the groups are assigned as follows:
50 ≤ score ≤ 60 ==> 50-60
60 < score ≤ 70 ==> 60-70
70 < score ≤ 80 ==> 70-80
80 < score ≤ 90 ==> 80-90
90 < score ≤ 100 ==> 90-100
Then a student who scored a 60 should be added to the 50-60 category.
Answer:
62 is the answer.
Step-by-step explanation:
I hope this helps you.