What value of x will make line m parallel to line n?
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
Since the ant travels at a constant speed, we can set up the following proportion:
, where
is the distance the ant can travel in 7 minutes.
Solving for , we get:
.
Lets get started :)
The ratio of juice is as follows:
orange : mango : apple
3 : 5 : 4
↑
35 bottles
5x = 35
5 and 5 cancels out
x = 7
3x + 5x + 4x = total
Subsitute the value you go for x, x = 7
3(7) + 5(7) + 4(7) = total
21 + 35 + 28 = 84
Total of 84 bottles of juices :)
Your final answer will be option D
The ratio of juice is as follows:
orange : mango : apple
3 : 5 : 4
↑
35 bottles
5x = 35
5 and 5 cancels out
x = 7
3x + 5x + 4x = total
Subsitute the value you go for x, x = 7
3(7) + 5(7) + 4(7) = total
21 + 35 + 28 = 84
Total of 84 bottles of juices :)
Your final answer will be option D
Answer:
17/5
Step-by-step explanation:
If cosθ = 12/13, find (1+cotθ)
As shown in the diagram attached,
Cotθ = 1/tanθ = adjacent/opposite
From the diagram attached,
cotθ = 12/a................... Equation 1
But we can find the value of a by using pythagoras theorem
13² = 12²+a²
169 = 144+a²
a² = 169-144
a² = 25
a = √25
a = 5.
Substitute the value of a into equation 1
Therefore,
cotθ = 12/5
(1+cotθ) =(12/5)+1 = (5+12)/5
(1+cotθ) = 17/5
