Answer:
P'Q' is equal in length to PQ.
Step-by-step explanation:
Before rotation
P(-5, 3)
Q(-1, 3)
we get the length
L = √((-1-(-5))²+(3-3)²) = √((-4)²+(0)²) = 4
After rotation
P'(3, 5)
Q'(3, 1)
we get the length
L' = √((3-3)²+(1-5)²) = √((0)²+(-4)²) = 4
we can say that L = L' = 4
P'Q' is equal in length to PQ.
The measure of an interior angle of a regular nonagon (9-sided polygon) is 140°
<h3>How to determine the angle</h3>
The formula for sum of interior angles of a polygon is given as;
= ( n -2) × 180
Recall that a nonagon has nine sides, so , n = 9
Substitute the value into the formula
= ( 9 -2) × 180
= 7× 180
= 1260°
Since the sum of the angles = 1260°
One of the angles = 1260/ 9 = 140°
Therefore, the measure of an interior angle of a regular nonagon (9-sided polygon) is 140°
Learn more about polygons here:
brainly.com/question/224658
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Let's set the original price as x.
1/4 off the original price would be
x-1/4x=3/4x
Set it equal to 75
3/4x=75
3x=300
x=100
The original price was $100.
Hope this helps!
Answer:
Step-by-step explanation:
Circle F and J are congruent.
Given that: m∠DFE = 80°
DFE is the central angle of the circle F.
The measure of arc GH is equal to the central angle of Circle J.
Since both circles are congruent
The measure of arc GH is 80 degrees.
