Respuesta :

alinakincsem

Answer:

The value of x is 7 cm.

Step-by-step explanation:

From the given figure, we know that the two corresponding lines are parallel and so the two given triangles are congruent to each other.

Therefore, the corresponding sides of these triangles will also be proportional so we can write it as:

[tex]\frac{5}{5+40} =\frac{3}{2x+10}[/tex]

[tex]\frac{5}{45} =\frac{3}{2x+10+3}[/tex]

By cross multiplication:

[tex]10x+65=135[/tex]

[tex]10x=135-65[/tex]

[tex]10x=70[/tex]

[tex]x=\frac{70}{10}[/tex]

[tex]x=7[/tex]

Therefore, the value of x is 7 cm.


The corresponding sides of the given triangles are proportional, hence, the value of x is 7 and this can be determined by using the triangle properties.

Given :

The image of the two triangles.

The corresponding sides of the given triangles are proportional, therefore:

[tex]\dfrac{5}{5+40}=\dfrac{3}{2x+10+3}[/tex]

Now, cross multiply in the above expression.

[tex]5\times (2x+13)= 45\times 3[/tex]

10x + 65 = 135

10x = 70

x = 7

The corresponding sides of the given triangles are proportional, hence, the value of x is 7 and this can be determined by using the triangle properties.

For more information, refer to the link given below:

https://brainly.com/question/22642276

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