What theorem can be used to show that ABC ≅ DEF?
1 answer:
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Answer:
Step-by-step explanation:
Given:
TU ≅ WU
∠T ≅ ∠W
To Prove:
Proof:
In Δ TUS and Δ WUV
STATEMENT REASON
1. TU ≅ WU 1. Given
2. ∠T ≅ ∠W 2. Given
3.∠TUS ≅ ∠WUV 3. Vertically Opposite Angles are equal
4. ΔTUS ≅ ΔWUV 4. Angle-Side-Angle congruence test.
5. ∴ TS ≅ WV 5. Corresponding parts of congruent triangles.
.......Proved
Answer: 1 hour 20 minutes
Step-by-step explanation:
Given : The old machine could shred a truckload of paper in 4 hours.
Rate of work done by old machine =
The new machine could shred the same truckload in 2 hours.
Rate of work done by new machine =
Let 't' be the time taken by both of them working together , then we have the following equation:-
Since 1 hour = 60 minutes
Then,
Hence, it will take 1 hour 20 minutes to shred the same truckload of paper if Ron runs both shredders at the same time.