Step-by-step explanation:
A supplementary angle is an angle that is 180 degrees. We are given two angles that add up to 180, but we need to solve for x first.
The first step is to solve both angles. We know that both angles added together are supplementary, so they are equal to 180.
4x + 8 = unknown angle
6x + 3 = unknown angle
(4x + 8) + (6x + 3) = 180
Because we know a supplementary angle is 180 degrees, we can solve for x to find both angles.
Solve for x.
(4x + 8) + (6x + 3) = 180
10x + 11 = 180
10x = 169
x = 16.9
Now, we know the value of x, so we plug in x for both angles to determine which angle is smaller.
4x + 8
4(16.9) + 8
67.6 + 8 = 75.6 degrees
and the other angle
6x + 3
6(16.9) + 3
101.4 + 3 = 104.4 degrees
Now we know that the smaller angle is 75.6 degrees.
Also, to make sure the math is correct, when plugging in both numbers after finding x, they should add to 180.
75.6 + 104.4 = 180 so we know they are supplementary for sure.
Good luck!
Answer:
Check the explanation
Step-by-step explanation:
Y = 11.5 + 4.5*X1 -2.5*X2 +0.7*X3+1.6*X4 -2.4*X5 -2.8*X6
FOR JANE
X1 =1 , X2 =1 , X3 =5 , X4 =0 ,X5=0, X6=1
SO,
Y =11.5+(4.5*1)-(2.5*1)+(0.7*5)+0+0-(2.8*1)
= 14.2
..........................
FOR Sophie
X1 =1 , X2 =1 , X3 =10 , X4 =1 ,X5=0, X6=0
so,
Y =11.5+(4.5*1)-(2.5*1)+(0.7*10)+ (1.6*1)+0+0
= 22.1
Answer:
BD = 8.8
Step-by-step explanation:
You have a right triangle.
The hypotenuse is BD
The side opposite the 27o angle is 4
Sin(27) = opposite / hypotenuse.
Sin(27) = 0.45399
opposite = 4
hypotenuse = ?
0.45399 = 4/hypotenuse
BD = 4/0.45399
BD = 8.811
The answer is 8.8
Number of subscriber the magazine will have after 3 years from now approximately be 8767
<u>Solution:</u>
Given that magazine currently has 8700 subscribers for its online web version
After 3 years, time(t) = 36 month
Total number of subscribers after 3 years from now
:
Substitute "t" = 36
Subscribers remaining = 0.12 x 560 = 67.2
The magazine currently has 8700 subscribers
Added Subscriber = 8700 + 560 = 9260
Remaining Subscriber = 8700 + 67.2 = 8767.2
Therefore number of subscriber the magazine will have after 3 years from now approximately be 8767
