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aleksandr82 [10.1K]
3 years ago
7

If the perimeter of this triangle is to be no more than 77 feet, write an inequality and

Mathematics
1 answer:
Sergio039 [100]3 years ago
8 0

Given:

Consider the sides of the triangle are 4x+10, 2x-5 and 18 (in feet).

Perimeter of this triangle is to be no more than 77 feet.

To find:

The inequality and solution of the inequality.

Solution:

Perimeter of a triangle is the sum of all side.

Perimeter of given triangle =(4x+10)+(2x-5)+18

Perimeter of this triangle is to be no more than 77 feet. It means perimeter must be less than or equal to 77.

(4x+10)+(2x-5)+18\leq 77

(4x+2x)+(10-5+18)\leq 77

6x+23\leq 77

6x\leq 77-23

6x\leq 54

Divide both sides by 6.

x\leq \dfrac{54}{6}

x\leq 9

Therefore, the required inequality is (4x+10)+(2x-5)+18\leq 77 and the solution is x\leq 9.

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