1. Yes it shows proportional relationship because they go by 5.
2. okay.. so your answer choices are 3) 2, 4) 10, 5) -2, and 6) 8. I'M GONNA GUESS. it's going to be #3.
3. Okay so $100- 30 - 10 = $60 That means that each hat cost $6 dollars and he bought 10 of them so 10 times 6 equals 60.
4. they cost 4.50 because she bought ten of them so if you multiply 4.50 by ten you get 45 and she had 5 left over.

Hope this helped!

:)

Please tell me which ones were wrong and which ones were right!

5 0

4 years ago

if A(-2,1), B(1,5), C(4,4), D(1,0) are the vertices of a quadrilateral, do the points form a parallelogram? Justify your answer.

4vir4ik [10]

We have that

A(-2,1), B(1,5), C(4,4), D(1,0)
using a graph tool
see the attached figure

we know that
A parallelogram is a simple quadrilateral with opposite sides parallel and equal in length
therefore
let's calculate the slope and distance of each side and compare them

side AB
slope m=(y2-y1)/(x2-x1)------> m=(5-1)/(1+2)----> m=4/3
distance AB=√4²+3³-------> dAB=5 units

side CD
slope m=(y2-y1)/(x2-x1)------> m=(0-4)/(1-4)----> m=4/3
distance CD=√4²+3³-------> dCD=5 units

side BC
slope m=(y2-y1)/(x2-x1)------> m=(4-5)/(4-1)----> m=-1/3
distance BC=√1²+3³-------> dBC=√10 units

side AD
slope m=(y2-y1)/(x2-x1)------> m=(0-1)/(1+2)----> m=-1/3
distance AD=√1²+3³-------> dAD=√10 units

(side BC and side AD are parallel) and (side BC=side AD)
and
(side AB and side CD are parallel) and (side AB=side CD)

therefore

the answer is
Yes, it is a parallelogram

5 0

4 years ago