This Question: 1 pt
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Answer:
Angle 1 = 108°
Angle 2 = 72°
Angle 3 = 120°
Angle 4 = 96°
Angle 5 = 144°
Step-by-step explanation:
We need to find the measures of the interior angles in a pentagon if the measure of each consecutive angle is in the ratio 9:6:10:8:12.
Let x be the common ratio
So, we can write:
Angle 1 = 9x
Angle 2 = 6x
Angle 3 = 10x
Angle 4 = 8x
Angle 5 = 12x
We know that the <em>sum of all angles of pentagon = 540</em>
So, adding all angles and equal them to 540, we can find value of x
So, we get the value of x: x=12
Now, calculating the angles by putting x=12:
Angle 1 = 9x = 9(12) = 108°
Angle 2 = 6x = 6(12) = 72°
Angle 3 = 10x = 10(12) = 120°
Angle 4 = 8x = 8(12) = 96°
Angle 5 = 12x= 12(12) = 144°
Answer:
The slope of the new road is 0.
Step-by-step explanation:
- the slope of d street line is tan(90)
[if the angle made by a line with x axis is then, the slope of that line will be tan(
) ]
- here, the angle made by the d street line with x axis is 90 degrees.
- if a road is to be built which is perpendicular to d street , it should make 0 degrees i.e, it should be parallel to x axis .
- so, the slope of new road will be tan(0) = 0