Hello!
Due to the definition of the Alternate Interior Angles Theorem, (x+23)+(x+54)=180 degrees:
x + 23 + x + 54 = 180
2x + 77 = 180
2x = 103
x = approximately 52 degrees or exactly 51.5 degrees
I hope this helps :))
Answer:
A) 
Step-by-step explanation:
The graph has x-intercepts at
and
, so our factors for the polynomial will be
and
. This means we can rule out options B and D.
Our graph also has a y-intercept of
when
, so if we let
and
, we can find the multiplier:

Thus, the correct equation is A) 
1/4+5/12=3/12+5/12=8/12=4/6=2/3
they painted 2/3 of the fence
Answer:
5 apples
Step-by-step explanation:
4 friends + Robby = 5 people
25 apples in total ÷ 5 people
= 5 apples per person
Answer:
x= 0.5
or x= -1.5
Step-by-step explanation:
Let's solve your equation step-by-step.
4x2+4x−3=0
Step 1: Factor left side of equation.
(2x−1)(2x+3)=0
Step 2: Set factors equal to 0.
2x−1=0 or 2x+3=0
x= 1/2 or x= −3/2