Answer:
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
2.1(2.3 + 2.1x) = 11.65 + x
Distribute
4.83+4.41x=11.65+x
bring 4.83 over (-)
4.41x=6.82+x
bring x over
4.41x-1(x)=6.82
4.41-1=3.41 so
3.41x=6.82
divide 3.41
x=2
Answer:
Allison was born on her mother’s 28th birthday. Which expression can be used to find Allison’s mother’s age when Allison is n years old?
Step-by-step explanation:
what topic
Answer:
![x=8](https://tex.z-dn.net/?f=x%3D8)
![\m\angle HFG= 80^\circ](https://tex.z-dn.net/?f=%5Cm%5Cangle%20HFG%3D%2080%5E%5Ccirc)
Step-by-step explanation:
Given that:
Point
is interior of
.
![m\angle EFH = 75^\circ\\m\angle HFG = (10x)^\circ\\m\angle EFG = (20x-5)^\circ](https://tex.z-dn.net/?f=m%5Cangle%20EFH%20%3D%2075%5E%5Ccirc%5C%5Cm%5Cangle%20HFG%20%3D%20%2810x%29%5E%5Ccirc%5C%5Cm%5Cangle%20EFG%20%3D%20%2820x-5%29%5E%5Ccirc)
To find:
![x = ?\\m\angle HFG = ?](https://tex.z-dn.net/?f=x%20%3D%20%3F%5C%5Cm%5Cangle%20HFG%20%3D%20%3F)
Solution:
First of all, let us represent the given values in the form of a diagram.
Kindly refer to the attached image for the given points and values of angles.
We can clearly see that:
![m\angle EFG = m\angle EFH + m\angle HFG](https://tex.z-dn.net/?f=m%5Cangle%20EFG%20%3D%20m%5Cangle%20EFH%20%2B%20m%5Cangle%20HFG)
Putting all the values given in above equation, we get:
![(20x-5)^\circ = 75^\circ + 10x^\circ\\\Rightarrow 20x-10x=75+5\\\Rightarrow 10x =80\\\Rightarrow \bold{x =8}](https://tex.z-dn.net/?f=%2820x-5%29%5E%5Ccirc%20%3D%2075%5E%5Ccirc%20%2B%2010x%5E%5Ccirc%5C%5C%5CRightarrow%2020x-10x%3D75%2B5%5C%5C%5CRightarrow%2010x%20%3D80%5C%5C%5CRightarrow%20%5Cbold%7Bx%20%3D8%7D)
![m\angle HFG =10x^\circ\\\Rightarrow m\angle HFG =10\times 8^\circ\\\Rightarrow m\angle HFG = \bold{80^\circ}](https://tex.z-dn.net/?f=m%5Cangle%20HFG%20%3D10x%5E%5Ccirc%5C%5C%5CRightarrow%20m%5Cangle%20HFG%20%3D10%5Ctimes%208%5E%5Ccirc%5C%5C%5CRightarrow%20m%5Cangle%20HFG%20%3D%20%5Cbold%7B80%5E%5Ccirc%7D)