(Geometry) Name each triangle by the lengths of it’s sides.

a) 3 in., 5 in., 3 in.

b) 14 cm, 9 cm, 8 cm

c) 24 mm, 24 mm, 24 mm

d) 12 ft., 12 ft., 15 ft.

e) 7 mi., 6 mi., 5 mi.

f) 32 m, 48 m, 48 m

A)Isosceles Triangle

B)Scalene Triangle

C)Equilateral Triangle

D)Isosceles Triangle

E)Scalene Triangle

F)Isosceles Triangle

Step-by-step explanation:

Helped me out with the triangles on the bottom but remember

all sides diffrent= Scalene Triangle

All sides the same = Equilateral Triangle

Only 2 sides the same = Isosceles Triangle

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .