2x + 6 cm
5(x - 3) cm
Find the length of one side of the equilateral triangle.

side = 20 cm

Step-by-step explanation:

Since the triangle is equilateral then the 3 sides are congruent.

Equate the 2 given sides and solve for x

5(x - 3) = 2x + 6

5x - 15 = 2x + 6 ( subtract 2x from both sides )

3x - 15 = 6 ( add 15 to both sides )

3x = 21 ( divide both sides by 3 )

x = 7

then length of side is

2x + 6 = 2(7) + 6 = 14 + 6 = 20 cm

8

step-by-step explanation:

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1