Answer:
25
Step-by-step explanation:
15.60 divided by 11.70 = 25
Answer:
m∠1= 80
m∠2= 100
m∠3= 80
Step-by-step explanation:
Given: m∠1= 2x +40
m∠2= 2y +40
m∠3= x +2y
m∠1 +m∠2= 180 (adj. ∠s on a str. line)
2x +40 +2y +40= 180
2x +2y+ 80= 180
2x +2y= 180 -80
2x +2y= 100
2(x +y)= 100
x +y= 100 ÷2
x +y= 50 -----(1)
m∠1= m∠3 (vert. opp. ∠s)
2x +40= x +2y
2x -x +40= 2y
x= 2y -40 -----(2)
Substitute equation (2) into (1):
2y -40 +y= 50
3y= 50 +40
3y= 90
y= 90 ÷3
y= 30
Substitute y= 30 into equation (2):
x= 2(30) -40
x= 60 -40
x= 20
m∠1
= 2x +40
= 2(20) +40
= 40 +40
= 80
m∠2
= 2y +40
= 2(30) +40
= 60 +40
= 100
m∠3
= x +2y
= 20 +2(30)
= 20 +60
= 80
Alternatively, since m∠1= m∠3,
m∠3
= m∠1 (vert. opp. ∠s)
= 80
Answer:
40 days saw either rain or high winds
Step-by-step explanation:
We solve this question using Venn sets.
I am going to say that:
Set A: Rain
Set B: High winds.
18 days saw rain
This means that 
29 days saw high winds
This means that 
7 days saw both rain and high winds.
This means that 
How many days saw either rain or high winds?
This is
Sp
40 days saw either rain or high winds
So I assume you are trying to find the equation of the line.
So you are gonna use this equation:
y=mx+b
So the x and y are your x and y coordinate pair and the m is the slope. So now you just substitute and solve for b:
4=8(7)+b
4=56+b
subtract 56 on both sides
-52=b
so now lets plug this into the equation of the line:
y=8x+(-52)
hope this helps!
