The sides of a triangle are 7, 4, n. if n is an integer, state the largest and smallest possible values of n. smallest value is- largest value is-

11 > n > 4

Step-by-step explanation:

Given any two sides of a triangle, we now that the sum of such sides MUST be greater than the measure of the remaining side. This is, given the three sides a, b and c, it must be that:

a + b > c

a + c > b

b + c > a

For our case:

7 + 4 > n (1) ---> 11>n

7 + n > 4 (2)

4 + n > 7 (3)

The 1 inequality says that the n side MUST be less than 11.

Now, pick the (3) inequality and subtract 4 in both sides:

4 + n  -4 > 7 - 4

n > 3

So, the n side must be grater than 3.

Thus, the solution is:

11 > n > 3

As we are working with integers we now that the grater integer larger than 3 is 4, and the greater integer less than 11 is 10. So, the side must be equal or greater to 4 and equal or less than 10:

10 >= n >= 4

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)

its a straight line parallel to the time axis