Answer:
a) alternate interior angles theorem
b) OXP ≅ XOL
c) XO ≅ OX
d) reflexive property (i'm not sure about this one)
e) ΔXOP ≅ ΔOXL
f) cpctc
make sure to double check the fourth one
Answer:
(f+g)(1)
equals
3
Step-by-step explanation:
(f+g)(1) is f(1)+g(1).
f(1) means what y corresponds to x=1 so f(1)=-1.
g(1) means what y corresponds to x=1 so g(1)=4.
So (f+g)(1)=f(1)+g(1)=-1+4=3.
Answer:
![\frac{1}{m-4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bm-4%7D)
Step-by-step explanation:
![\frac{\frac{4m-5}{m^4 -7m^3 +12m^2}}{\frac{4m-5}{m^3 -3m^2}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B4m-5%7D%7Bm%5E4%20-7m%5E3%20%2B12m%5E2%7D%7D%7B%5Cfrac%7B4m-5%7D%7Bm%5E3%20-3m%5E2%7D%7D)
Factor the equation:
![\frac{\frac{4m-5}{m^2(m^2 -7m+12)}}{\frac{4m-5}{m^2(m-3)}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B4m-5%7D%7Bm%5E2%28m%5E2%20-7m%2B12%29%7D%7D%7B%5Cfrac%7B4m-5%7D%7Bm%5E2%28m-3%29%7D%7D)
![\frac{\frac{4m-5}{m^2(m-3)(m-4)}}{\frac{4m-5}{m^2(m-3)}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B4m-5%7D%7Bm%5E2%28m-3%29%28m-4%29%7D%7D%7B%5Cfrac%7B4m-5%7D%7Bm%5E2%28m-3%29%7D%7D)
Rewrite to suit the format of multiplying two fractions. Remember, dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second. A reciprocal of a fraction is when one switches the place of the numerator and the denominator, that is, the value on top (numerator), and the value on the bottom (denominator).
![\frac{4m-5}{m^2(m-3)(m-4)}*\frac{m^2(m-3)}{4m-5}](https://tex.z-dn.net/?f=%5Cfrac%7B4m-5%7D%7Bm%5E2%28m-3%29%28m-4%29%7D%2A%5Cfrac%7Bm%5E2%28m-3%29%7D%7B4m-5%7D)
Simplify, take out common terms that are found on both the numerator and denominator
![\frac{4m-5}{m^2(m-3)(m-4)}*\frac{m^2(m-3)}{4m-5}](https://tex.z-dn.net/?f=%5Cfrac%7B4m-5%7D%7Bm%5E2%28m-3%29%28m-4%29%7D%2A%5Cfrac%7Bm%5E2%28m-3%29%7D%7B4m-5%7D)
![\frac{1}{m-4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bm-4%7D)
You simply have to plot the point and draw a line that passes through most of them
9=m-4
9+4=m
13=m
9=13-4
9=9
I hope this answer helped you!!! Thank you!!!