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larisa [96]
3 years ago
12

Simplify: 18-|8+3(2+2)-4|

Mathematics
1 answer:
NeX [460]3 years ago
8 0

Answer:

2

Step-by-step explanation:

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25 Points ! Write a paragraph proof.<br> Given: ∠T and ∠V are right angles.<br> Prove: ∆TUW ∆VWU
vladimir2022 [97]

Answer:

Δ TUW ≅ ΔVWU ⇒ by AAS case

Step-by-step explanation:

* Lets revise the cases of congruent for triangles

- SSS  ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ

- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and  

 including angle in the 2nd Δ  

- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ  

 ≅ 2 angles and the side whose joining them in the 2nd Δ  

- AAS ⇒ 2 angles and one side in the first triangle ≅ 2 angles

 and one side in the 2ndΔ

- HL ⇒ hypotenuse leg of the first right angle triangle ≅ hypotenuse

 leg of the 2nd right angle Δ

* Lets solve the problem

- There are two triangles TUW and VWU

- ∠T and ∠V are right angles

- LINE TW is parallel to line VU

∵ TW // VU and UW is a transversal

∴ m∠VUW = m∠TWU ⇒ alternate angles (Z shape)

- Now we have in the two triangles two pairs of angle equal each

 other and one common side, so we can use the case AAS

- In Δ TUW and ΔVWU

∵ m∠T = m∠V ⇒ given (right angles)

∵ m∠TWU = m∠VUW ⇒ proved

∵ UW = WU ⇒ (common side in the 2 Δ)

∴ Δ TUW ≅ ΔVWU ⇒ by AAS case

7 0
2 years ago
Read 2 more answers
Round 2.408 to the nearest hundredth
Verdich [7]
8 in 2.408 is closer to 10, so you round 2.408 to 2.41
7 0
3 years ago
Read 2 more answers
What is the avarage rate from x=1 to x=3
guajiro [1.7K]

It depends on the line or parabola that you are talking about, more information would be needed to answer this correctly.

6 0
2 years ago
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Which angle is supplementary to ∠1?
Hatshy [7]
Answer: angle 2 is supplementary to angle 1
4 0
3 years ago
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75 miles in 3 hours ; 140 miles in 4 hours
weeeeeb [17]

Answer:

no

Step-by-step explanation:

75:3=25:1

140:4=45:1

5 0
2 years ago
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