Answer: 4/5
Step-by-step explanation: For a line to be parallel to another line there must be two conditions true.
Condition 1: Both lines must have the same slope (i.e the same x in the form y = mx + b)
Condition 2: Both lines must have different y-intercepts (i.e different b in the form y = mx + b)
Thus, if you are looking for the slope of the line parallel to y = 4/5x - 3, we can look at condition 1, and see that the slope should also be 4/5 for the other line.
Answer:
see explanation
Step-by-step explanation:
(5)
Since ∠EBA = 90° then ∠ABD = 90° ( straight angle ) and
∠ABC + ∠CBD = ∠ABD, that is
2x + 3x - 10 = 90, simplifying
5x - 10 = 90 ( add 10 to both sides )
5x = 100 ( divide both sides by 5 )
x = 20, thus
∠ABC = 2x = 2 × 20 = 40°
∠CBD = 3x - 10 = (3 × 20) - 10 = 60 - 10 = 50°
(6)
4x - 18 = 3x + 7 ( vertical angles are congruent )
Subtract 3x from both sides
x - 18 = 7 ( add 18 to both sides )
x = 25
7y = 5y + 28 ( vertical angles are congruent )
Subtract 5y from both sides
2y = 28 ( divide both sides by 2 )
y = 14
Answer:
Step-by-step explanation:
The reference angle is an acute angle that angle in standard position makes with the positive x-axis.
The given angle in radians is
This angle is already acute and hence it is itself a reference angle.
The reference angle of any angle in the first quadrant is the same angle.
Answer:
For 2 months
Step-by-step explanation:
Let after x months the cost of each health club is same,
Now, In club A,
Membership fees = $ 19,
Monthly fees = $ 21,
So, the total fees for x months = membership fees + total monthly fees for x months
= 19 + 21x
In Club B,
Membership fees = $ 23,
Monthly fees = $ 20,
So, the total fees for x months = membership fees + total monthly fees for x months
= 23 + 20x
Thus, we can write,
19 + 21x = 23 + 20x
21x - 20x = 23 - 21
x = 2
Hence, for 2 months the total cost of each health club would be same.
Answer:
Dónde está
Step-by-step explanation:
