Answered

Get detailed and accurate answers to your questions on IDNLearn.com. Whether your question is simple or complex, our community is here to provide detailed and trustworthy answers quickly and effectively.

1. For the shown triangle, AD is 42, MD is 27, AN is 20 and NG is 3x+3.

1 For The Shown Triangle AD Is 42 MD Is 27 AN Is 20 And NG Is 3x3 class=

Sagot :

Mhanifaidn

Answer:

  • 11

Step-by-step explanation:

According to triangle similarity, corresponding sides have equal ratios.

  • AM/AD = AN/AG

Convert the ratio as below:

  • (AD - MD)/AD = AN/(AN + NG)
  • (42 - 27)/42 = 20/(20 + 3x + 3)

Simplify and solve for x:

  • 15/42 = 20/(3x + 23)
  • 5/14 = 20/(3x + 23)
  • 1/14 = 4/(3x + 23)
  • 3x + 23 = 4*14
  • 3x + 23 = 56
  • 3x = 33
  • x = 11

Answer:

x = 11

Step-by-step explanation:

Since the given triangle are proportional to each other. So,

AM/AD = AN/AG

(AD - MD)/AD = AN/(AN + NG)

=> (42 - 27)/42 = 20/(20 + 3x + 3)

=> 15/42 = 20/23 + 3x

=> 15(23 + 3x) = 42(20)

=> 345 + 45x = 840

=> 45x = 840 - 345

=> 45x = 495

=> x = 495/45

=> x = 11

We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Find clear and concise answers at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.