Answer:
10 units
Step-by-step explanation:
Represent the length of the shortest side of the triangle by x. Then the sum of the lengths of the other two sides is 2(x + 1), and the perimeter of the triangle is thus x + 2(x + 1), or 3x + 2.
Represent the side length of the square by x - 2. Then the perimeter of the square is 2(x - 2) + 2(x - 2) = 4(x - 2) = 4x - 8, and this perimeter matches that of the triangle:
4x - 8 = 3x + 2, or
x = 10
The length of the shortest side of the triangle is 10 units.
Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
Answer
The answer is C. Trina is not correct because the two sides of the equation are equivalent.
Step-by-step explanation:
1. solve for x
-8(x - 4) + 2x = -4(x - 8) -2x
-8x + 32 + 2x = -4x + 32 -2x
-6x + 32 = - 6x + 32
0 = 0
This equation has infinite solutions, any rational number fits as solution for x in this equation. And as we can see both sides of it are equivalent.
Therefore, the correct answer is C. Trina is not correct because the two sides of the equation are equivalent.
<u><em></em></u>
<u><em></em></u>
<u><em>Hope This Helps :p</em></u>