<h3>
Answer: (C) 8/30</h3>
===================================================
Explanation:
There are 5+3 = 8 people in choir and running club. I added the values in the overlapped region of the circles "choir" and "running club".
This is out of 2+5+6+7+3+4+3 = 30 people total.
Divide the two results to form the fraction 8/30
Ideally we should reduce to get 4/15, but your teacher has chosen not to reduce.
1 step: 
,
, then
.
2 step: 
, then
and
will have form
.
3 step: Solve this system
and dividing first equation on second we obtain
. So,
and
,
- the common ratio.
4 step: Insert
into equation
and obtain
, from where
.
Answer:
5 stars? Answer down below
Step-by-step explanation:
a+b=350 => a=350 - b
3a + 5b = 1450
3(350-b)+b=1450
1050-3b+5b=1450
2b=400
b=200
a=150
Answer: 50 degrees
Step-by-step explanation:
This is actually quite simple using the exterior angle theory
"The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle"
In this case the exterior angle is 120 degrees, basically what the theorem states is that it the angle that you see outside the triangle equals the angle measurements of the 2 angles opposite of it, so just create an equation because you know 2 of the variables
120=70+x
120-70=x
Angle x = 50 degrees
40 x (80/100)
= 32
So answer will be 32
