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PLEASE HELP ............

PLEASE HELP ............-example-1
User Jennee
by
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2 Answers

5 votes

Answer: x = 9

Explanation:

Prior to solving this problem, it is important to first understand that all interior angles of a triangle add up to 180°. Knowing this, you can now begin solving by writing the problem as an equation: 50 + 80 + (6x - 4) = 180.

The next step is to simplify the current equation. This is done by adding 50 + 80. Now you are left with 130 + (6x - 4) = 180.

Next, use inverse operations to further simplify the problem. In other words, subtract 130 from either side of the equation. 130 - 130 results in nothing while 180 - 130 = 50. Now your equation is 6x - 4 = 50.

Now continue the process by adding 4 to either side. -4 + 4 = 0 and 50 + 4 = 54. The equation is now 6x = 54.

The final step is to divide either side by 6. 6 ÷ 6 = 0 while 54 ÷ 6 = 9. Now you are left with x = 9 as your final solution.

User Keff
by
7.9k points
5 votes

Answer:

All triangles add up to 180.

80 + 50 + (6x - 4) = 180

130 + (6x - 4) = 180

6x - 4 = 50

6x = 54

x = 9

We can double-check.

50 + 80 + 6(9) - 4 = 180

130 + 6(9) - 4 = 180

130 + 54 - 4 = 180

130 + 50 = 180

180 = 180

User Steoleary
by
6.9k points