The answer for the question is 4
Answer: -4
Step-by-step explanation: If you add all the numbers marked, -7 + -4 + -3 + 2 + 7 you will get -4.
Answer:
Step-by-step explanation:
The applicable formula is ...
s = rθ
where s is the arc length, r is the circle's radius, and θ is the central angle in radians.
Filling in the given values, we find ...
15 = 6θ
θ = 15/6 = 2.5 . . . radians
Pi (π) radians is 180°, so the angle in degrees is ...
2.5(180°/π) ≈ 143.24°
The coordinates of A will be (2P +M)/3
= (2(16, 14) +(1, 4))/3 = (33/3, 32/3) = (11, 32/3)
The appropriate choice is
(C) (11, 32/3)
_____
You will note that the coordinates of A are the weighted average of the coordinates of the end points. The weighting is the reverse of the ratio of the line segments. That is, the point adjacent to the shortest segment gets the highest weighting. (This is typical of the solution to "mixture" problems.)
It bisects so DE=EF
DE=5y
EF=13y-8
so
5y=13y-8
minus 13y both sides
-8y=-8
divide both sides by -8
y=1
DE=5y=5(1)=5
DE=EF=5
DF=DE+EF=5+5=10
DE=5
EF=5
DF=10
