Answer: AM = 76 and AB = 152
Step-by-step explanation:A little annoying but basically AM times 2 shoud equal AB or (2x+34)*2 = 6x+26 solve to get x equals 21 plug back in to get 76 for AM and 152 for AB
Pls add more wit with ur followers and
Answer:
A-3, B-4, C-1, D-2
Step-by-step explanation:
A:
- 5x-(3x+1)
- Expand, 5x-3x-1
- Combine like terms, 2x-1
B:
- 5x-(-3x-1)
- Expand, 5x+3x+1
- Combine like terms, 8x+1
C:
- -5x-(3x+1)
- Expand, -5x-3x-1
- Combine like terms, -8x-1
D:
- -5x-(-3x-1)
- Expand, -5x+3x+1
- Combine like terms, -2x+1
see the attached figure to better understand the problem
Step ![1](https://tex.z-dn.net/?f=1)
in the triangle ABC
<u>Find the distance AC</u>
we know that
In the right triangle ABC
![tan(A)=BC/AC](https://tex.z-dn.net/?f=tan%28A%29%3DBC%2FAC)
solve for AC
![AC=BC/tan(A)](https://tex.z-dn.net/?f=AC%3DBC%2Ftan%28A%29)
![BC=10\ m\\A=35.5\°](https://tex.z-dn.net/?f=BC%3D10%5C%20m%5C%5CA%3D35.5%5C%C2%B0)
substitute the values
![AC=10/tan(35.5\°)](https://tex.z-dn.net/?f=AC%3D10%2Ftan%2835.5%5C%C2%B0%29)
![AC=14.02\ m](https://tex.z-dn.net/?f=AC%3D14.02%5C%20m)
Step ![2](https://tex.z-dn.net/?f=2)
in the triangle DEF
<u>Find the distance DF</u>
we know that
In the right triangle DEF
![tan(D)=EF/DF](https://tex.z-dn.net/?f=tan%28D%29%3DEF%2FDF)
solve for DF
![DF=EF/tan(D)](https://tex.z-dn.net/?f=DF%3DEF%2Ftan%28D%29)
![EF=14\ m\\D=54.5\°](https://tex.z-dn.net/?f=EF%3D14%5C%20m%5C%5CD%3D54.5%5C%C2%B0)
substitute the values
![DF=14/tan(54.5\°)](https://tex.z-dn.net/?f=DF%3D14%2Ftan%2854.5%5C%C2%B0%29)
![DF=9.99\ m](https://tex.z-dn.net/?f=DF%3D9.99%5C%20m)
Step ![3](https://tex.z-dn.net/?f=3)
Find the value of x
we know that
the value of x is the difference between AC and DF
![x=AC-DF](https://tex.z-dn.net/?f=x%3DAC-DF)
![x=14.02-9.99=4.03\ m](https://tex.z-dn.net/?f=x%3D14.02-9.99%3D4.03%5C%20m)
round to the nearest meter-------> ![x=4\ m](https://tex.z-dn.net/?f=x%3D4%5C%20m)
therefore
<u>the answer is</u>
The value of x is ![4\ m](https://tex.z-dn.net/?f=4%5C%20m)
Step-by-step explanation:
well that seems like a you problem lol