4x is the answer of the equation 3x-7=5x+1
Answer: ![\dfrac{1}{2}(150-2x)](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D%28150-2x%29)
Step-by-step explanation:
Given : Queen Parallela has 150 meters of fencing to build her pen for the dragon.
i.e. Perimeter of pen P = 150 meters
She also knows that the perimeter of a rectangle is P=2ℓ+2w, where ℓ=the length and w=the width.
if the width is x meters, then we have
![2l+2x=150](https://tex.z-dn.net/?f=2l%2B2x%3D150)
Subtract 2x from both sides , we get
![2l=150-5x](https://tex.z-dn.net/?f=2l%3D150-5x)
Divide both sides by 2, we get
![l=\dfrac{1}{2}(150-2x)](https://tex.z-dn.net/?f=l%3D%5Cdfrac%7B1%7D%7B2%7D%28150-2x%29)
Hence, the expression would represent the length in terms of the width :
![\dfrac{1}{2}(150-2x)](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D%28150-2x%29)
<u>Where is the triangle "JKL"? The one is the picture is "EFGH"</u>
GCF, Greatest Common Factor.
I'm not sure about what exactly your teacher is looking for, but the actual congruency conjecture you would use is:
(angle symbol) 1 (congruency symbol) (angle symbol) 8 - Because they are alternate exterior angles