X<0.25 I'm pretty sure that is the answer
Answer:
x = 19
Step-by-step explanation:
By the Supplementary Angle Theorem we can say that;
123 + 3x = 180
3x = 57
x = 19
Hope this helps!
Step-by-step Answer:
The coordinates of the mid-point of a segment whose end-points are known is the average of the coordinates of the end-points.
Here, the end-points are: (-11,0), (9,-1)
So the x-coordinate of the mid-point is (-11+9)/2 = (-2/2) = -1, and
the y-coordinate of the mid-point is (0-1)/2 = -0.5
So the mid-point is (-1,-0.5)
Check the numbers by plotting the point on the graph!
So to find the answer you need to use SOHCAHTOA
Sine= Opposite/ Adjacent
Cosine= Adjacent/Hypotenuse
Tan = opposite/adjacent
angle ADC is 60 so to find the length of line ABC we would use the angle and the line DC.
We would use Tan with opposite over adjacent
Tan 60 = opp. / 5 root 3
opp. = 15
so that is the length of the entire thing, all you need to do now is find the length of the single line of BC which we can use the same equation with just Tan 30 now.
Tan 30 = opp. / 5 root 3
opp. = 5
next you need to take the entire ABC length and subtract the length of BC to get AB
15-5 = 10
so the answer would be C
<em>Part A: </em>
Let c represent the total amount of chocolate there is in lbs.
c = 0.25c + 0.75c
<em>Part B: </em>
0.75c represents milk chocolate, and we know that there are 3 lbs of milk chocolate, so you can replace the 0.75c with 3 (representing 3 lbs):
c = 0.25c + 3
Divide all the terms by c:
1 = 0.25 + 3/c
Subtract 0.25 from both sides to combine the like terms:
0.75 = 3/c
Multiply all the terms by c to make the equation easier to work with:
0.75c = 3
Divide both sides by 0.75 to isolate the c and find the total amount of chocolate in pounds.
c = 4
Substitute c for 4 in the term that defines dark chocolate (which was 0.25c)
0.25(4) = 1 pound
Therefore, there was exactly 1 pound of dark chocolate present in the chocolate.
This makes sense, as 1 pound of dark chocolate + 3 pounds of milk chocolate = 4 pounds of chocolate in total, and 1 is 25% of 4 and 3 is 75% of 4.
