The equation of line CD in standard form is: B. 5x - 3y = 30
<h3>How to determine the equation of line CD in standard form?</h3>
Mathematically, the standard form of the equation of a straight line is given by this mathematical expression (linear function);
y = mx + c
Where:
- x and y are the points.
- m represents the slope, gradient, or rate of change.
- c represents the intercept.
Next, we would determine the slope of this line by using this formula:
Slope, m = Δy/Δx
Slope, m = Change in y-axis/Change in x-axis
Slope, m = (0 + 5)/(6 - 3)
Slope, m = 5/3
At point (6, 0), the point-slope equation of the line is given by:
y - y₁ = m(x - x₁)
y - 0 = 5/3(x - 6)
y = 5x/3 - 30/3
y = 5x/3 - 10
Multiplying all through by 3, we have:
3y = 5x - 30
Rearranging the equation, we have:
5x - 3y = 30
Read more on slope here: brainly.com/question/7748981
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Answer:
Inferior, Public
Step-by-step explanation:
Complete the sentences regarding demand. The demand for inferior goods increases with a decrease in income, whereas public are goods that cannot be bought or sold.
<u>Given</u> -
- If l || m, m∠1 = (13x + 24)°, and m∠2 = (5x-6)°,
<u>To find</u> -
<u>Concept</u> -
Whenever two parallel lines are cut by a transversal, an interesting relationship exists between the two interior angles on the same side of the transversal. These two interior angles are supplementary angles. Hence, according to the figure l and m are two parallel lines and t is the transversal intersecting them then ∠1 + ∠2 = 180°.
<u>Solution</u> -
m∠2 = (5x-6)° = {5(9) - 6}° = {45 - 6}°= 39°
Henceforth, m∠2 = 39°
Answer:
Step-by-step explanation:
Since sum of all the angles of triangle is 180° therefore according to the given diagram
180° = x° + 2x° + 3x°
180°= 6x°
x° = 30°
AND
m<C = 2×30° = 60°
