AN = 16CM; AC = 18CM & CN = (4X -6) CM. Find the value of X

x = 6

Step-by-step explanation:

Since <A is congruent to <N, they are both an isosceles base angles. ∆CAN is an isosceles ∆.

Therefore, one of the properties of an isosceles ∆ is that two sides are equal, aside the base of the isosceles. This implies that: CN = AC

AC = 18cm

CN = (4x - 6)cm, therefore, we can generate an equation for solve for x as follows,

4x - 6 = 18 (two sides of an isosceles ∆ are congruent)

Add 6 to each side of the equation.

4x - 6 + 6 = 18 + 6

4x = 24

Divide both sides by 4

4x = 24/4

x = 6

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2