Respuesta :

Answer:

-3

Step-by-step explanation:

We know that both the larger triangle is dialated by some factor.

To start divide the two given sides:

36/24=1.5

This means that the larger triangle is dialated by a factor of 1.5, meaning that all sides of the smaller triangle must be multipled by 1.5 to get the larger triangle.

By knowing that we can multiply 3x-7 by 1.5 and set it equal to 6x-6.

1.5(3x-7)=6x-6

4.5x-10.5=6x-6

-6x+4.5x=10.5-6

-1.5x=4.5

x=(4.5)/(-1.5)

x= -3

resolve4M

Answer:

Step-by-step explanation:

Hi, my english is a little bad, but i´ll try to explain you how to do this exercise.

At top we can see a description that says those triangles are similars, so they obey to a rule like this:

OP.LEG1/OP.LEG2 = ADJ.LEG1/ADJLEG2 = HYPO1/HYPO2

then we can substitute those therms what we need to

We´ll take adj leg and opposite leg to do the formula

36/24 = (6x - 6) / (3x  + 7)

do the criss cross thing

36(3x + 7) = 24 ( 6x - 6)

108x + 252 = 144x - 144

396 = 36x

x= 396/36

x= 11

I hope this will help you :)

Greetings from chile

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