Respuesta :

Answer:

x=27

Step-by-step explanation:

Solve by using similar triangles

We can see that the two triangles are similar due to the markings on angle A and they have a ratio of 10:14=5:7 or 5/7

So we can use that information to set the two sides with x equal to the ratio between the two triangles and then solve for x

x+8/2x-5=5/7 now we cross multiply

7x+56=10x-25 now subtract -7x and add 25 to both sides to get all x terms on one side

3x=81 divide by 3 to isolate x by itself and solve

x=81/3=27

x=27

Any questions please feel free to ask and I will gladly explain. Thank you