A triangle has a perimeter of 72 units, and two of its sides measure x units and 3x units, respectively. Which inequality represents all possible values of x?

Step-by-step explanation:

Given: Perimeter of triangle= 72 units

          Measure of one of the side= x units

          Measure of second side = 3x units

We know the perimeter of triangle is equal to sum of all sides.

Now, finding the possible value of x

forming an inequality to determine the value of x

Remember triangle has three sides, however, measure of only two sides are given.  

⇒

⇒

Dividing both side by 4

⇒

∴ The inequality to represents all possible values of x is

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)