Respuesta :

mlarsen5000

Answer:

x=16

Step-by-step explanation:

27/45=(2x+7)/(4x+1)

cross multiply

27(4x+1)=45(2x+7)

108x+27=90x+315

108x-90x=315-27

18x=288

x=288/18

x=16

Martebi

Looking at the image, The triangle shown below are similar. The value for  x is 16.

What is the triangle about?

Note that in the triangle given, the shapes are similar. Therefore:

27/45 = 2x + 7/  4x + 1

3/5 = 2x + 7/  4x + 1

So:

3 (4x + 1) = 5 (2x + 7)

12x + 3 = 10x + 35

12x - 10x = 35-3

2x = 32

x = 32/ 2

x = 16

Therefore, the value of x is 16.

Learn more about triangle from

https://brainly.com/question/17335144

#SPJ6

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