The perimeter of a triangle is 120. If the ratio of the triangle's side is 4:5:6, what is the length of the
shortest side?

32

Step-by-step explanation:

total ratio =15

the length of the

shortest side

4*120/15

480/15

=32

b. astronomers

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1