aesthetickait
aesthetickait aesthetickait
  • 18-12-2018
  • Mathematics
contestada

Find the value of x. (Picture attached.)

Find the value of x Picture attached class=

Respuesta :

rabinshrestha41
rabinshrestha41 rabinshrestha41
  • 18-12-2018

Here, triangle AEN and ALG are similar.


We know that the ratio of corresponding sides of two similar triangles are equal. So,

[tex]\frac{21}{42} =\frac{2x-9}{(2x-9)+(x+7)}\\\\\frac{1}{2} =\frac{2x-9}{3x-2}\\\\ 3x-2=4x-18\\\\-2+18=4x-3x\\\\16=x\\\\x=16\\[/tex]

Answer Link

Otras preguntas

what is the character sketch of spider in the poem ' the spider and the fly' by mary howitt?
11 divided by 1/3 (fraction form)
The price of an item increased by 25%. If the price of the item after the increase is $2, find the original price.a) $1.50, b) $1.60, c) $1.75, d) $2.50, e) $3.
which is more important,friendship or justice
what is a false analogy fallacy?
How did the U.S. acquire the territories of California, Nevada, Utah, and parts of Arizona, New Mexico, Colorado, and Wyoming in 1848?
How do jellyfish reproduce?
5/6 - 2/6 in simplest form
The average of the weights of six people sitting in a boar is 145 pounds. After a seventh person gets into the boat, the average of the weights of all seven peo
If 5x + 15 is greater than 20, which of the following best describes possible values of x ?a) x > 5, b) x > 3, c) x > 1, d) x < 5, e) x < 1