Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A 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
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.