Answer:
Same side interior angles of parallel lines are supplementary.
Step-by-step explanation:
5a + 10 + 3a + 10 = 180; 8a + 20 = 180; 8a = 160; a = 20; m<4 = 5xz + 10 = 5 * 20 + 10 = 100 + 10 = 110.
The equation of the perpendicular line to the given line is: y = -5/4x - 30.
<h3>What is the Equation of Perpendicular Lines?</h3>
The slope values of two perpendicular lines are negative reciprocal of each other.
Given that the line is perpendicular to y = 4/5x+23, the slope of y = 4/5x+23 is 4/5. Negative reciprocal of 4/5 is -5/4.
Therefore, the line that is perpendicular to it would have a slope (m) of -5/4.
Plug in m = -5/4 and (x, y) = (-40, 20) into y = mx + b to find b:
20 = -5/4(-40) + b
20 = 50 + b
20 - 50 = b
b = -30
Substitute m = -5/4 and b = -30 into y = mx + b:
y = -5/4x - 30
The equation of the perpendicular line is: y = -5/4x - 30.
Learn more about about equation of perpendicular lines on:
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Answer:
24
Step-by-step explanation:
3 times 4 times 2
3 times 4 is 12
12 times 2 is 24
Hope this helps you
Answer:
Yes.
Step-by-step explanation:
This is a statistical question because a statistical question is a question that can be answered by collecting data that vary. The question that you provided would have different answers from different people.
Another example of a statistical question could be: "How old are the students at my school?" This would be statistical because once again, the ages will vary from different people.
