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triangle abc is shown in the diagram. the lengths of the sides are in terms of the variable n, where n>4. Complete the inequality

triangle abc is shown in the diagram the lengths of the sides are in terms of the variable n where ngt4 Complete the inequality class=

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Answer:

In the first box, B; in the second box, A; and in the third box, C.

Step-by-step explanation:

The sides marked on the triangle would be ranked in order from least to greatest as

n+3, 2n, 3n-2.

This is because for numbers greater than 3 (we are told that n is greater than or equal to 4), adding 3 to a number is less than multiplying it by 2.

Multiplying a number by 2 is less than multiplying a number by 3 then subtracting 2.

To test, use 4:

n+3 = 4+3 = 7; 2n = 2(4) = 8; 3n-2 = 3(4)-2 = 12-2 = 10.

The angles associated with these sides are across from them.  The angle across from the side marked n+3, AC, is angle B.  The angle across from the side marked 2n, BC, is angle A.  The angle across from the side marked 3n-2, AB, is angle C.

abidemiokin

Since b < a < c, hence the correct angles that complete the given inequality solution will be m<B < m<A < m<C

From the given diagram, the angles are opposite to the corresponding side.

The higher the sides of the triangle, the higher the angles of its corresponding sides.

Since n > 4, if n = 5

a = 2n = 2(5) = 10

b = n + 3 = 5 + 3 = 8

c = 3n - 2 = 3(5) - 2 = 13

Since b < a < c, hence the correct angles that complete the given inequality solution will be m<B < m<A < m<C

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