OPTION D: None of these
A side view of the top of a building is shown in the diagram below. The measure of angle MNT is 72 degrees. The measure of angle
QTS is 34 degrees. Line segment SQ is parallel to line segment MN. Find the measure of angle QSR.
2 answers:
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OPTION D: None of these
+
= 34
The equation of a circle in standard form is
+
=
where (a , b) are the coordinates of the centre and r is the radius
The centre is at the midpoint of the endpoints and the radius is the distance from the centre to either of the 2 endpoints
Using the midpoint formula
midpoint = [(x
+
,
(
+
where (,
=(3,8) and (
,
=(-7,2)
centre = ((3-7),
(8+2)) = (-2,5)
Calculate r using the distance formula
r = √(-
)²+(
-
)²)
= √((3+2)²+(8-5)²) = √(25+9) = √34 ⇒ r² =(√34)² = 34
equation of circle is : (x+2)²+(y-5)² = 34