1. Consider the circle to the right,
1 answer:
Answer:
m∠SBE = 26°, = 126°
Step-by-step explanation:
The arc of a circle is a portion of the circumference of the circle. For a circle, the degree measure of an arc is equal to the measure of the central angle that intercepts the arc.
Central angle is an angle whose vertex is on the center of the circle and endpoints on the circumference of the circle. If the endpoints of the central angle are are also the endpoints for the angle's intercepted arc, then both angles are congruent.
Also, the angle at the center is twice the angle at the circumference.
Angle at center = = 52° (central angle is congruent with angle that intercept the arc)
2 * m∠SBE = central angle (angle at the center is twice the angle at the circumference)
2 * m∠SBE = 52
m∠SBE = 26°
2 * m∠BEO = central angle (angle at the center is twice the angle at the circumference)
2 * 63 = central angle
central angle = 126°
Angle at center = = 126° (central angle is congruent with angle that intercept the arc)
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Answer:
Option (4). y = 3x - 5
Step-by-step explanation:
Given question is incomplete; here is the complete question.
What is the equation of the line that is perpendicular to the given line and passes through the point (3, 4)?
y = –1/3x + 5
y = –1/3x + 3
y = 3x + 2
y = 3x − 5
Line given in the graph passes through the points (-3, 2) and (0, 1).
Slope of the given line =
m =
m =
Let the equation of a line perpendicular to this line is,
y - y' = m'(x - x') [Given line passes through (x', y')]
By the property of perpendicular lines,
m × m' = -1
() × m' = -1
m' = 3
Equation of the perpendicular line will be,
y - 4 = 3(x - 3)
y - 4 = 3x - 9
y = 3x - 5
Option (4) will be the answer.
