contestada

A triangle has side lengths measuring 2x + 2 ft x + 3 ft, and
nft
which expression represents the possible values of n, in
feet? Express your answer in simplest terms.
x-1 on = 3x + 5
n = x-1
3x +5

Respuesta :

Answer:

[tex]3x+5 < n < x-1[/tex]

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

so

Applying the Triangle Inequality Theorem

1) [tex](2x+2)+(x+3) > n[/tex]

solve for n

[tex]3x+5> n[/tex]

Rewrite

[tex]n<3x+5[/tex]

2) [tex](x+3)+n> 2x+2[/tex]

[tex]n> x-1[/tex]

therefore

[tex]3x+5 < n < x-1[/tex]

Answer:

A: x – 1 < n < 3x + 5

Step-by-Step explanation:

on edge! hope this helps!!~ ≧(´▽`)≦