Answer:
A= 40
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3/4 (2a-6)+1/2=2/5(3a+20)
(3/4) (2a) + (3/4) (-6) + 1/2 = (3a) + (2/5) (20)
(distribute)
3/2a + -9/2 + 1/2 = 6/5a + 8
(3/2 a) + ( -9/2 + 1/2 ) = 6/5a + 8 (Combine like terms)
3/2a + -4 = 6/5a + 8
3/2a -4 = 6/5a+8
Step 2: Subtract 6/5a from both sides.
3/2a - 4 - 6/5 a = 6/5a + 8 - 6/5 a
3/10 a - 4= 8
Step 3: Add 4 to both sides.
3/10a -4 +4 = 8 + 4
3/10 a = 12
Step 4: Multiply both sides by 10/3
(10/3) * (3/10a) = (10/3) * (12)
a = 40
Given that the angles of the two sectors are equal, we can find the relationship between the angles, radii, and the lengths of the arc
The length of the arc (S) is given by the formula
Then we can make the angle the subject of the formula
For the first sector
For the second sector
Simplifying the equation, we will obtain
Answer:
D. it is the point where the three angle bisectors of the triangle intersect.
Step-by-step explanation:
Because in geometry the incenter of a triangle is deliberated as the center of a triangle.
Answer:
b = -8
Step-by-step explanation:
We are given the slope m = -3/2.
As we move from (-2, 4) to (6, b), x increases by 8 and y increases by (b-4).
Thus, the slope is also represented by
b - 4
m = ------------- . We set this equal to m = -3/2 and solve for b:
8
b - 4 -3
------------- = ------ We set this equal to m = -3/2 and solve for b:
8 2
Tjem 2b - 8 = -24, or 2b = -16, or b = -8.