Triangle DOG is congruent to triangle CAT, DO=5, OG = 6, DG = 7 and CA = 2x + 1. Find x
If 2x+1 = 5
then x = 4/2
Haiabahajanbs
To find the value of x, we need to use the fact that triangle DOG is congruent to triangle CAT. Congruent triangles have corresponding sides and angles that are equal.
From the given information, we know that DO = 5 and OG = 6. We can use these measurements to determine the corresponding side lengths in triangle CAT.
Since triangle DOG is congruent to triangle CAT, we can conclude that DG is equal to the corresponding side length in triangle CAT. So, DG = 2x + 1.
Now we can set up an equation to solve for x:
7 (DG) = 2x + 1 (CA)
Substituting the known values, we have:
7 = 2x + 1
Next, we can isolate the variable x by subtracting 1 from both sides of the equation:
7 - 1 = 2x
6 = 2x
Finally, we divide both sides of the equation by 2 to solve for x:
6 / 2 = x
3 = x
Therefore, the value of x is 3.