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schepotkina
1 month ago
12

What additional information could you use to show that ΔSTU ≅ ΔVTU using SAS? Check all that apply.

Mathematics
2 answers:
zzz [12.3K]1 month ago
6 0
I think the correct solutions are: UV = 14 ft and m∠TUV = 45°; ST = 20 ft, UV = 14 ft, and m∠UST = 98°. In other words, Options A and D.
AnnZ [12.3K]1 month ago
6 0
The initial and fourth pieces of information can serve as supplemental details to demonstrate that ΔSTU ≅ ΔVTU using SAS. To explain, in ΔSTU and ΔVTU, we have SU=14ft, VT=20 ft, m∠SUT=45°, and m∠TUV=98°. The additional information provided is: 1. UV = 14 ft and m∠TUV = 45°, thus SU=UV = 14 ft [given], and m∠TUV = m∠SUT = 45° [given]. The length TU is the same in both triangles due to the Reflexive property, resulting in ΔSTU ≅ ΔVTU via the SAS congruence postulate. 2. TU = 26 ft, which does not provide sufficient information to establish triangle congruence. 3. m∠STU = 37° and m∠VTU = 37°, meaning we also need additional data to confirm their congruency. 4. ST = 20 ft, UV = 14 ft, and m∠UST = 98° leads to ST = 20 ft=TV [given], and the reflexive property shows TU=TU, thus establishing ΔSTU ≅ ΔVTU under the SAS postulate. 5. m∠UST = 98° alongside m∠TUV = 45° also supports ΔSTU ≅ ΔVTU through the AAS congruence theorem. Therefore, the first and fourth pieces of information can indeed serve to demonstrate that ΔSTU ≅ ΔVTU using SAS.
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The yearly income for an individual with an associate’s degree in 2001 was $53,166 and in 2003 it was $56,970. What is the ratio
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Response:

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Detailed explanation:

The income ratio for the years 2001 to 2003:

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To simplify, divide both sides by 6:

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8861: 9495

I hope this helps! Have a great day:)

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