173k views
2 votes
""Solve for x:

∠B > ∠C
40° = 3x - 11
5x + 5 = 40°

Please find the value of x.""

User Fareed
by
7.5k points

1 Answer

4 votes

Final answer:

Upon solving the two equations, we get two different values for x: 13.67° and 7°. This indicates that the given equations are conflicting, suggesting there is either an error in the problem or additional information is needed to resolve the discrepancy.

Step-by-step explanation:

To solve for x, we have two given equations:

  1. 3x - 1 = 40°
  2. 5x + 5 = 40°

First, we solve each equation for x.

For the first equation, subtract 1 from both sides to isolate the variable term:

3x = 40° + 1

3x = 41°

Divide both sides by 3:

x = 41° / 3

x = 13.67° (rounded to two decimal places)

For the second equation, subtract 5 from both sides:

5x = 40° - 5

5x = 35°

Divide both sides by 5:

x = 35° / 5

x = 7°

Since we have two different values for x, derived from two different equations, the provided equations are conflicting and thus there may have been an error in the given problem, or additional information is required to determine the correct value of x.

User Alfredo Di Napoli
by
8.5k points