Basketball Points
1 answer:
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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:
Length: 11.95
Width: 9.95
Step-by-step explanation:
Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.
To begin solving this question we need to create a formula to then solve. According to the information given in the question we can create 2 formulas.
<u>Where:</u>
- P is the perimeter
- L is the length
- W is the width
Now we can replace L for the L in the P formula and solve for W, Like so....
Now that we have the value of W we can plug that into the L formula and find L
Finally, we can see that the value of the Length is 11.95 in and the Width is 9.95 in
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.