Answer:
Denote O as center of circle, draw OA, OC.
As property of tangent line from outside of circle (angle OAD = angle OCD = 90 deg):
=> AOC + D = 180
Moreover, angle AOC = 2 x angle B = 2 x 65 = 130
=> D = 180 - 130 = 50 deg
Hope this helps!
:)
Answer:
The laspeyres method of weighted aggregate price index is used of LIFO inventory valuation, therefore laspeyres index number is 106.08
Step-by-step explanation:
First of all we would have to perform the following table:
Product Ending Inventory(Q0) Begining(P0) Ending(P1) P0×Q0 P1×Q0
A 500 0.15 0.21 75 105
B 50 1.60 1.80 80 90
C 100 4.50 4.20 450 420
D 40 12.00 13.40 480 536
Total 1085 1151
Therefore, using laspeyres index number, we calculate the following:
laspeyres index number=(∑P1×Q0/∑P0×Q0)×100
laspeyres index number=(1151/1085)×100
laspeyres index number=106.08
S = rθ
4.2 = 1*θ
The central angle (θ) is 4.2 radians.
Answer:
growth
Step-by-step explanation:
I think the answer is 10 because:
6x2=12
12+2x-32=0
make the like terms together = 12-32+2x=0
= -20+2x=0
again make the like terms together = 2x=0+20 [sign changes when it goes to the other side]
so, 2x=20
x=20/2 [ multiplication will change into division when it goes to the other side]
therefore x=10
