Answer:
25
Step-by-step explanation:
Let us assume that m<1 nad m<2 are supplementary. Since the sum of supplementary angles is 180degrees, hence;
<1 + <2= 180
123+2x+7 = 180
130+2x = 180
2x = 180 - 130
2x = 50
x = 50/2
x = 25
Hence the value of x is 25
Answer:
2310m^3
Step-by-step explanation:
base area which is the circle = πr^2
But diameter, d = 14, r = 14/2 = 7
area = π × (7)^2 = 22/7 × 49 = 22 × 7 = 154
Volume = base area × height
= 154 × 15 = 2310
You can figure the line for each pair of points, or you can try the points in the equation you have and see which are on the line.
First answer: x=1, y=-5×1 +4 = -1 . . . not 9. (1, 9) is not a point on the line
Second answer: x=2, y=-5×2 +4 = -6 . . . not -14. (2, 14) is not a point on the line
Third answer: (see the calculation for the first answer) . . . -1 ≠ 1. (1, 1) is not a point on the line
Fourth answer: (see the calculation for the second answer) We know that (2, -6) is on the given line. Checking (4, -16), we find it is as well.
The appropriate choice is the 4th answer:
... a line passing through the points (2, -6) and (4, -16)
f(g(11)) = -6
Solution:
Given data:

<u>To find f(g(11)):</u>
Substitute x = 11 in g(x).



Substitute g(11) = 3 in f(g(11)).






= -6
Hence f(g(11)) = -6.
Answer:
t-7
Step-by-step explanation: