Answer:
Proved
Step-by-step explanation:
Given




Required
Prove BUGS is a trapezoid
Given the coordinates, to prove a trapezoid; all we need to do is to check if one pair of sides is parallel.
<u></u>
<u>Taking BU and GS as a pair</u>
First, we calculate the slope using:

For BU
--- 
--- 
So, we have:



For GS
--- 
--- 
So, we have:



<em>The slope of BU and GS are not the same; hence, they are not parallel.</em>
<u>Taking BS and GU as a pair</u>
Calculate the slope
For BS
--- 
--- 
So, we have:



For GU
--- 
--- 
So, we have:



The slope of BS and GU are the same; hence, they are parallel.
<em>BUGS is a trapezoid because BS and GU have the same slope</em>
Answer
- DE= 3x + 20 = 86
- EF= 2x + 40=84
Step-by-step explanation:
DE: 3x + 20
EF: 2x + 40
DE+ EF= DF
3x+20 +2x + 40 = 170
5x + 60 =170
5x= 110
x= 22
- DE= 3x + 20 = 86
- EF= 2x + 40=84
Answer:
-1/6
Step-by-step explanation:
first, we multiply the two fractions in the parentheses to get 1/3.
now we add 1/3 and -1/2 together. doing this we get -1/6
The 4 is H and for 5, i don’t have much time rn so ask somebody else!