Answer:
30 degrees
Step-by-step explanation:
Angle B is an inscribed angle -- its vertex is on the circle and it intersects the circle in two points, <em>A</em> and <em>C</em>.
The measure of an inscribed angle is always one half the measure of the intercepted arc. The intercepted arc has measure 60 degrees, so the measure of angle B is 30 degrees.
Answer:
If this is a proof then here is the answer.
Angle ABD is Congruent to Angle CBD = Given
Angle BDA is Congruent to Angle BDC = Given
Angle ABD is Congruent to Angle CBD = Definition of Angle Bisector
Line Segment BD is Congruent to Line Segment BD = Reflexive Property
Line Segment AB is Congruent to Linge Segment CB = Angle-Side-Angle or ASA
Step-by-step explanation:
Lucky for you, I just learned this also ;)
Since you are given your first two directions, put them down as GIVEN in the proof.
Next, Since ABD and CBD are congruent angles, you can assume that it is an angle bisector since angle bisectors always bisect equally.
Then, (This one is obvious), since Line Segment BD shares a side with itself, it is equal by the Reflexive Property (EX: AB is congruent to AB).
Finally, Since there is two angles with a congruent side in the middle, you can confirm that it is equal by Angle-Side-Angle.
Hope this helped!
Answer:
y = x - 2
Step-by-step explanation:
Parallel lines have the same slope, so the line will also have a slope of 1.
Plug in the slope and given point into y = mx + b to solve for b:
y = mx + b
-1 = 1(1) + b
-1 = 1 + b
-2 = b
Plug in b and the slope into y = mx + b
y = x - 2 is the equation
Line passing through point (-2, -3) with a slope of -6 is (y - (-3)) = -6(x - (-2)) => y + 3 = -6(x + 2)
Answer:
2
Step-by-step explanation:
Diagonals of a parallelogram bisects each other.
Therefore,
4x = 8
x = 8/4
x = 2
Or
5x = 3x + 4
5x - 3x = 4
2x = 4
x = 4/2
x = 2
