Answer:
See below ↓↓
Step-by-step explanation:
<u>Equation of line k</u>
- y = mx + b
- m = Δy/Δx (ratio of change in y to change in x) = 2/3
- b = 3 (as y-intercept is [0,3])
- ⇒ y = 2/3x + 3
<u />
<u>a. parallel line</u>
- For parallel lines, slope (m) remains the same, but the y-intercept (b) changes
- ⇒ <u>y = 2/3x + 1</u>
<u></u>
<u>b. perpendicular line</u>
- For perpendicular lines, the slope (m) is the negative reciprocal of the original line and the value of b stays the same [it can be any point as long as it intersects the line]
- ⇒ <u>y = -3/2x + 1</u>
x + x-5 + x +23 = 180
combine like terms:
3x +18 = 180
subtract 18 from each side:
3x = 162
divide both sides by 3
x = 162 / 3 = 54
Angle x = 54 degrees
Angle x-5 = 54-5 = 49 degrees
Angle x +23 = 54 +23 = 77 degrees
9) 4/50 = 0.08 = 8%
10) 65 * 0.20 = 13
13 vehicles
Answer: Yes 3/5 and 21/35 are equivalent.
Step-by-step explanation:
3 ÷ 5 = 0.6
21 ÷ 35 = 0.6
Answer:
0.42074
Step-by-step explanation:
In this question, we are asked to calculate the probability that a car will get less than 21 miles per gallon.
This is P(x < 21)
z = 21-22/5 = -1/5 = -0.2
Therefore the probability of getting less than 21 miles per gallon will be;
P(x<21) = P (z < -0.2)
= 0.42074
