Describe the possible values of x.

2 ≤ x ≤ 7

Step-by-step explanation:

Due to the triangle inequality, the sum of two sides of a triangle must be greater than or equal to the remaining side.

Therefore,

5+7 ≥ 2x-2

=> 12 ≥ 2x-2

=> 14 ≥ 2x

=> 7 ≥ x

However, notice that BC + AB must be ≥ 7, So,

5 + 2x - 2 ≥ 7

=> 2x - 2 ≥ 2

=> 2x ≥ 4

=> x ≥ 2

Therefore, both bound of x have been found.

square pyramid

step-by-step explanation:

square prism looks like nothing like that

triangular prism has a rectangular base instead of a square base

tetrahedron has a triangular base

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.