Answered

IDNLearn.com makes it easy to find accurate answers to your specific questions. Our experts are available to provide in-depth and trustworthy answers to any questions you may have.

Solve for X enter your answer in the box

Solve For X Enter Your Answer In The Box class=

Sagot :

Xenia168idn

Answer:

x = 6

Step-by-step explanation:

View image Xenia168
Tekashiiidn

Answer:

x = 6

Step-by-step explanation:

GIVEN :-

  • AD ║ BC
  • AE = 16 units
  • AB = 5x + 2 units
  • DE = 12 units
  • DC = 24 units

TO FIND :-

  • Value of x

GENERAL CONCEPT TO BE USED IN THIS QUESTION :-

Basic Proportionality Theorem -

If a line drawn parallel to one side of a triangle and intersects the other two sides at distinct points , it divides the other two sides in equal proportion.

SOLUTION :-

AD is the line drawn parallel to BC and intersects EB & EC at A & D respectively. By using Basic Proportionality Theorem , it can be stated that -

[tex]\frac{AE}{AB} = \frac{DE}{DC}[/tex]

[tex]=> \frac{16}{5x + 2} = \frac{12}{24}[/tex]

[tex]=> \frac{16}{5x + 2} = \frac{1}{2}[/tex]

[tex]=> 5x + 2 = 16 \times 2 = 32[/tex]

[tex]=> 5x = 32 - 2 = 30[/tex]

[tex]=> x = \frac{30}{5} = 6[/tex]

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Your questions find clarity at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.