<span><span>The first quartile (Q1) is defined as the middle number between the smallest number and the median of the data set. The second quartile is the median of the data. The third quartile (Q3) is the middle value between the median and the highest value of the data set.</span></span>
The equation of the line containing the points (20,28) and (25,38) is
y = 2x ₋ 12.
Given the points are: (20,28) and (25,38)
First find the slope of the line passing through the given points.
we know that (x₁,y₁) and (x₂,y₂) is m = y₂ ₋ y₁/x₂ ₋ x₁
therefore the slope of line passing through the points (20,28) and (25,38) is:
m = 38 ₋ 28/25 ₋ 20
m = 10/5
m = 2
Consequently, the line's slope is 2.
Find the y-intercept now by using the slope and one of the two points.
y = mx ₊ b
28 = 2(20) ₊ b
28 = 40 ₊ b
28 ₋ 40 = b
b = ₋12
Next, represent the equation in slope-intercept form as follows:
y = mx ₊ b
y = 2x ₋ 12
hence the equation of the line is y = 2x ₋ 12.
Learn more about Equation of lines here:
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Angle 1 and angle 3 are vertically opposite angles. And both angles are congruent with each other.
<h3>What is an angle?</h3>
The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Line L and line M intersect each other.
Angle 1 and angle 2 are supplementary angles.
∠1 + ∠2 = 180° ...1
Angle 2 and angle 3 are supplementary angles.
∠2 + ∠3 = 180° ...2
From equations 1 and 2, then we have
∠1 + ∠2 = ∠2 + ∠3
∠1 = ∠3
The vertically opposite angles are angle 1 and angle 3. Furthermore, the two angles line up perfectly.
More about the angled link is given below.
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Blue car get's 23.6mpg while Red car gets 28mpg.
On one gallon of fuel, Red car will travel 4.4 miles further than Blue car.
