A triangle has side lengths measuring 2x + 2 ft, x + 3 ft, and n ft. Which expression represents the possible values of n, in fe

Question

3 years ago

7

et? Express your answer in simplest terms. x – 1 < n < 3x + 5 n = 3x + 5 n = x – 1 3x + 5 < n < x – 1

2 answers:

julia-pushkina [17] · Answer 1 · 2022-06-27T15:15:38+03:00

7 0

Answer:

x – 1 < n < 3x + 5

Step-by-step explanation:

cluponka [151] · Answer 2 · 2022-06-27T13:19:12+03:00

cluponka [151]3 years ago

3 0

Answer:

$x-1$

Step-by-step explanation:

If a, b and c are the lengths of the triangle's sides, then

$a+b>c,\\ \\a+c>b,\\ \\b+c>a.$

Since

$a=2x+2,\\ \\b=x+3,\\ \\z=n,$

then

$2x+2+x+3>n\Rightarrow nx+3\Rightarrow n>1-x,\\ \\x+3+n>2x+2\Rightarrow n>x-1.$

Thus,

$x-1$