Answer:
X=2.5
Step-by-step explanation:
Triangle ABC = Triangle DEF
So if we flip the triangle ABC over the x-axis,( Turn it 180 degrees using any given point,[A, B, or C])
,you get the same triangle as DEF.
Adding all the sides on triangle ABC, it equals 3x+10.
Triangle DEF doesn't have the luxury of having all sides labled but since ABC=DEF, we can use the sides x+4 and x+6 to get 2x+10 for both of the unlabled sides combined. Finally, we can combine 2x+10 and 3x-5 to get a total of 5x+5 for triangle DEF.
So 3x+10=5x+5. Doing simple isolation,(subtract 5 from both sides, then subtract 3x from both sides, divide by 2 on both sides), you get X=2.5.
