Answer:
m=3
Step-by-step explanation:
Hello, Hope it helps :-)
(2x+9) + (10x+15) = 180°
2x+9 + 10x+15 = 180°
Add up liked terms
12x+24 = 180°
-24 on both sides
12x = 156°
/12 on both sides
x = 13
< ABC = (2x+9)
< ABC = 2(13)+9
Answer : < ABC = 35°
< CBD = (10x+15)
< CBD = 10(13)+15
Answer: < CBD = 145°
The dimension that would give the maximum area is 20.8569
<h3>How to solve for the maximum area</h3>
Let the shorter side be = x
Perimeter of the semi-circle is πx
Twice the Length of the longer side
![[70-(\pi )x -x]](https://tex.z-dn.net/?f=%5B70-%28%5Cpi%20%29x%20-x%5D)
Length = ![[70-(1+\pi )x]/2](https://tex.z-dn.net/?f=%5B70-%281%2B%5Cpi%20%29x%5D%2F2)
Total area =
area of rectangle + area of the semi-circle.
Total area =
![x[[70-(1+\pi )x]/2] + [(\pi )(x/2)^2]/2](https://tex.z-dn.net/?f=x%5B%5B70-%281%2B%5Cpi%20%29x%5D%2F2%5D%20%2B%20%5B%28%5Cpi%20%29%28x%2F2%29%5E2%5D%2F2)
When we square it we would have
![70x +[(\pi /4)-(1+\pi)]x^2](https://tex.z-dn.net/?f=70x%20%2B%5B%28%5Cpi%20%2F4%29-%281%2B%5Cpi%29%5Dx%5E2)
This gives
![70x - [3.3562]x^2](https://tex.z-dn.net/?f=70x%20-%20%5B3.3562%5Dx%5E2)
From here we divide by 2

The maximum side would be at

This gives us 20.8569
Read more on areas and dimensions here:
brainly.com/question/19819849
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-2(1-7n)-5n=34
Multiply the bracket by -2
(-2)(1)=-2
(-2)(-7n)=14n
-2+14n-5n=34
-2+9n=34
Move -2 to the other side. Sign changes from -2 to +2.
-2+2+9n=34+2
9n=34+2
9n=36
Divide by 9 for both sides
9n/9=36/9
n=4
Answer: n=4
Answer:
I believe the answer to part A is 55. I just added the number of french speakers to the number of females and then subtracted 16. If that answer is correct, then the answer to part b is 68.75%