(Multiply all by 3 )
7x+x=3+5x
8x=3+5x
3x=3
x=1
Answer:
4 inches
Step-by-step explanation:
Actual dimensions:
Length = 15 feet
Width = 12 feet
Scale dimensions:
Length = 5 inches
Width = x inches
Write a proportion:

People were in favor of the new hotel=25% of 6000 people.
25% of 6000 people=(25/100)*6000=(25*6000)/100=1500 pople.
1500 people were in favor of the new hotel.
Answer:
Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.
Step-by-step explanation:
Given:
Let
A(x₁ , y₁) = (1 , 4) and
B( x₂ , y₂ ) = (-1 , 2)
To Find:
θ = ?
Solution:
Slope of a line when two points are given is given bt

Substituting the values we get

Also Slope of line when angle ' θ ' is given as

Substituting Slope = 1 we get


We Know That for angle 45°,
tan 45 = 1
Therefore

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.