<h3>Given</h3>
A(-3, 1), B(4, 5)
<h3>Find</h3>
coordinates of P on AB such that AP/PB = 5/2
<h3>Solution</h3>
AP/PB = 5/2 . . . . . desired result
2AP = 5PB . . . . . . multiply by 2PB
2(P-A) = 5(B-P) . . . meaning of the above
2P -2A = 5B -5P . . eliminate parentheses
7P = 2A +5B . . . . . collect P terms
P = (2A +5B)/7 . . . .divide by the coefficient of P
P = (2(-3, 1) +5(4, 5))/7 . . . . substitute the given points
P = (-6+20, 2+25)/7 . . . . . . simplify
P = (2, 3 6/7)
Answer:
D. Yes The Triangles ARE ≅
Step-by-step explanation:
By definition equilateral triangles have all equal angles and sides. Since they share a side that means one of each triangle's sides are congruent. Using the transitive property (if side a ≅ side b and side b ≅ side c, then side a ≅ side c), you can prove that all other sides are congruent or equal in measure, no matter how you pair them.
