Line b is the answer, hope this helped
Given:
To find:
The obtuse angle between the given pair of straight lines.
Solution:
The slope intercept form of a line is
...(i)
where, m is slope and b is y-intercept.
The given equations are
On comparing these equations with (i), we get
Angle between two lines whose slopes are 
is
Putting and , we get
Now,
and 
and 
and 
, so it is an obtuse angle and 
, so it is an acute angle.
Therefore, the obtuse angle between the given pair of straight lines is 120°.
Answer:
1.5
Step-by-step explanation:
if you do 3 divided by 4 then you get 0.75 then you have to do 0.75 times 2 and you get 1.5 dollars for 2 pounds
Tina takes Karate classes every Tuesday and Thursday. The classes are 55 minutes long.
Take the 55 minutes and multiply that by 2 {2 represent Tuesday and Thurdsday} 55 x 2 = 110. Tina takes Karate classes for 110 minutes each week. Take the 110 and multiply that by 3 {3 represent the 3 weeks}. 110 x 3 = 330. 330 minutes is 5 hours and 30 minutes.
Tina's total hours of Karate in 3 weeks is 5 hours and 30 minutes.
Answer:
3, 6, 9, 12 is not geometric
Step-by-step explanation:
A geometric progression has a common ratio r between consecutive terms.
3, 6, 9 , 12
has a common difference of 3 between terms and is arithmetic
1, 5, 25, 125
r = 5 ÷ 1 = 25 ÷ 5 = 125 ÷ 25 = 5 ← geometric
4, 8, 16, 32
r = 8 ÷ 4 = 16 ÷ 8 = 32 ÷ 16 = 2 ← geometric
2, 6, 18, 54
r = 6 ÷ 2 = 18 ÷ 6 = 54 ÷ 18 = 3 ← geometric
