What is the value of x if abc is equilateral

A correct option is an option (d).

The given sides are,

AB=7.5x

AC=10x-5

BC=6x+3

As we know in an equilateral triangle all sides are equal then,

AB=AC=BC

So, the correct option is an option (d).

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d

Step-by-step explanation:

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

Equate any pair of sides and solve for x

AC = BC , that is

10x - 5 = 6x + 3 ( subtract 6x from both sides )

4x - 5 = 3 ( add 5 to both sides )

4x = 8 ( divide both sides by 4 )

x = 2 → d

16 lawns

Step-by-step explanation:

set up a proportion:

(4/5 ÷ 1) = (x÷20)

cross-multiply:

5x = 80

x = 16