Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Aw) 4. Solve for x.
3x + 1
10
7x-1
22

Aw 4 Solve For X 3x 1 10 7x1 22 class=

Sagot :

Answer:

x = 8

Explanation:

In the given triangle

  • A line segment joining points on two sides and parallel to the 3rd side
  • That means this line segment divided the two sides into equal ratios
  • It divided the 1st side into 10 and 3x + 1
  • It divided the 2nd side into 22 and 7x - 1
  • 10/3x+1 = 22/7x-1
  • By using cross multiplication
  • 10(7x - 1) = 22(3x + 1)
  • 10(7x) - 10(1) = 22(3x) + 22(1)
  • 70x - 10 = 66x + 22
  • Subtract 66x from both sides
  • 70x - 66x - 10 = 66x - 66x + 22
  • 4x - 10 = 22
  • Add 10 to both sides
  • 4x - 10 + 10 = 22 + 10
  • 4x = 32
  • Divide both sides by 4
  • x = 8
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.