Answer:
Step-by-step explanation:
We have been given that point A has the coordinates(2,5) point B has the coordinates (6,17).
To find the length of segment AB we will use distance formula.

Upon substituting coordinates of point A and point B in distance formula we will get,

Therefore, the length of segment AB is
.
Sorry the question you typed is kinda messy. But I see you have typed “23* 26” I’m gonna assume you’re asking which postulate or theorem is angle 2 and angle 3, and angle 2 and angle 6. So angle 2 and 3 are vertical angles. Angle 2 and 6 are corresponding angles. If that wasn’t what you wanted, please let me know in the comments so I can understand your problem clearly and solve it.
Answer:
95/4
Step-by-step explanation:
Given,
a/b =2/3
Therefore, 2a²+3b²/a²+b² = ?
We get,
a/b = 2/3
So, we can write
a = 2 and b = 3
Now,
2×(2)² + 3×(3)²/(2)² + (3)² [Putting the values of a and b]
= 2×4 + 3×9/4 + 9
= 8 +27/4 + 9
= (32+27+36)/4 [ Taking L.C.M, we get 4]
= 95/4