m<M + m<N = 180°
11x + 6x - 7 = 180
11x + 6x = 180 + 7
17x = 187
x = 187 : 17 = 11
m<M = m<O = 11x = 11 · 11 = <span>121°
</span>m<N = m<L = 6x-7 = 6 · 11 -7 = 66 - 7 = <span>59°
</span><span>Check : 121° + 59° = 180° OK !
</span>
4=2m-5n
4=2m-5(-2)
4=2m+10
-6=2m
-3=m
The value of x from the diagram is 29 degrees.
<h3>SOH CAH TOA identity</h3>
From the given figure, we have the following parameters:
- Opposite = 12
- Hypotenuse = 25
<h3>According to the theorem:</h3>
Sin x = opposite/hypotenuse
Sin x = 12/25
Sin x = 0.48
x = arcsin(0.48)
x = 28.685
x = 29 degrees
Hence the value of x from the diagram is 29 degrees.
Learn more on SOH CAH TOA here: brainly.com/question/20734777
Well, we can set up these equations like this-
Deborah- 2+3w
Kai- 12+2w
w=number of weeks that pass
Now, we set them equal to each other:
2+3w=12+2w
Solve for w
2-12=2w-3w
-10 = -1w
w = 10
10 weeks. Hope this helped!
C=16, then you would solve to get (x+4)(x+4) which is (x+4)^2
