expresslmnop
Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

In the diagram, △RST∼△R′S′T′. Determine the length of RS. Show your work.
100 points!

In The Diagram RSTRST Determine The Length Of RS Show Your Work 100 Points class=

Sagot :

Answer: 6 feet


Explanation: Since the triangles are similar, we can use the proportion 9/4=(12x+2)/(5x+1).

Cross multiplying 9*(5x+1) and 4*(12x+2) gives us 45x+9=48x+8.

Solving for x gives us 1/3.

You can check your work by plugging in x for the two equations, which gives us 6 (RS) and 8/3 (R’S’)

The scale factor is 4/9 (k) from 9k=4

6*4/9=8/3 and (8/3)/(4/9)=6
mhanifa

Answer:

  • RS = 6 feet

Step-by-step explanation:

Use ratios of corresponding sides:

  • TS/T'S' = RS/R'S'

Substitute and solve for x:

  • 9/4 = (12x + 2)/(5x + 1)
  • 9(5x + 1) = 4(12x + 2)
  • 45x + 9 = 48x + 8
  • 48x - 45x = 9 - 8
  • 3x = 1
  • x = 1/3

Find the length of RS:

  • RS = 12x + 2 = 12(1/3) + 2 = 4 + 2 = 6 feet
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.