antojustice
Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Need help with this geometric question ASAP, Thank you

Need Help With This Geometric Question ASAP Thank You class=

Sagot :

sqdancefan

Answer:

  a.  x = 9

  b.  GH = 30; GK = 20

Step-by-step explanation:

An angle bisector in a triangle divides the sides proportionally.

a.

In this triangle, that means ...

  (3x +3)/18 = (3x -7)/12

  2(3x +3) = 3(3x -7) . . . . . . . multiply by 36

  6x +6 = 9x -21 . . . . . . . . . eliminate parentheses

  27 = 3x . . . . . . . . . . . . . . add 21 -6x

  x = 9 . . . . . . . . . . . . . . . divide by 3

__

b.

The segment lengths are found by substituting the value of 3x in each of the given expressions:

  GH = 3x +3 = 27 +3 = 30

  GK = 3x -7 = 27 -7 = 20

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.