Here is a balanced hanger diagram in which a circle has a mass of 3 grams and a square has a mass of 2 grams. Which equations could represent the diagram, assuming t represents the triangles?

3c + 2s + 2t = 3c + 2s + 5t

2t + 21 = 5t + 12

3(3) + 6(2) + 2t = 2(3) + 3(2) + 5t

2t + 9 = 5t + 5

5t + 6 + 6 = 9 + 12 + 2t

3

(

3

)

+

6

(

2

)

+

2

=

2

(

3

)

+

3

(

2

)

+

5

Step-by-step explanation:

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

if x = 1, then the answer is 3.5