Answer:
1. UW // TX
2. VX // UY
3. UW ≅ TY ≅ YX
4. YW =
TV
5. TX = 2 UW
6. ∠TXV ≅∠WUY
Step-by-step explanation:
The line segment joining the midpoint of two sides of a triangle is parallel to the third side and equal to half its length
In Δ XVT
∵ U is the midpoint of VT
∵ W is the midpoint of VX
∵ XT is the 3rd side of the triangle
→ By using the rule above
∴ UW // TX ⇒ (1)
∴ UW =
TX
→ Multiply both sides by 2
∴ 2 UW = TX
∴ TX = 2 UW ⇒ (5)
∵ Y is the midpoint of TX
∴ TY = YX =
TX
∵ UW =
TX
∴ UW ≅ TY ≅ YX ⇒ (3)
∵ U is the midpoint of VT
∵ Y is the midpoint of XT
∵ VX is the 3rd side of the triangle
→ By using the rule above
∴ UY // VX
∴ VX // UY ⇒ (2)
∴ UY =
VX
∵ W is the midpoint of VX
∵ Y is the midpoint of XT
∵ TV is the 3rd side of the triangle
→ By using the rule above
∴ YW // TV
∴ YW =
TV ⇒ (4)
∵ 2 Δs UYW and XVT
∵ UY =
XV
∵ YW =
VT
∵ WU =
TX
∴
=
=
= 
→ By using the SSS postulate of similarity
∴ ∠TXV ≅∠WUY ⇒ (6)
Answer:
The third model
Step-by-step explanation:
I'm pretty sure it is, I can't see all of them tho
We have been given that miss Roxanne is 25 years old and she puts 1800 dollars per quarter that returns 6% interest.
(a) We need to figure out how much will be in the account when she turns 65 years old. When she turns 65 years old, the number of years during which she made deposits would be 40. Since she made quarterly deposits. She made a total of 160 deposits. We can now figure out the final amount in the account using future value of annuity formula.

We have the values P=1800, r=6/4% = 1.5% = 0.015 and n=160.
Therefore, the amount in the account would be:

Therefore, miss Roxanne will be 1179415.39 dollars in her account when she turns 65 years old.
(b) In this part we need to figure out the total amount she deposited.
The total amount she deposited would be
.
(c) We can find the interest earned by subtracting her contribution from the answer of part (a).
Interest earned = 
0 + 62 = 62
anything plus 0 stays the same