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3 years ago

Please help me on this problem

Mathematics

1 answer:

Orlov [11]3 years ago

6 0

Answer:

The Proof with Figure, Statement and Reasons is given below.

Step-by-step explanation:

Given:

∠DAF ≅ ∠EBF,

DF ≅ FE

Prove:

Δ ADF ≅ Δ BFE

Proof:

Statements Reasons

a. ∠DAF ≅ ∠EBF ...........................Given

48. ∠DFA ≅ ∠EFB ..........................Vertical Angles are congruent

DF ≅ FE ...........................49. Given

50. Δ ADF ≅ Δ BFE .........................By Angle-Angle-Side test

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Read 2 more answers

How do you simplify (-5x^5+14)-(11x^2+1+11x^5)

lord [1]

(-5x ⁵+14)-(11x ²+1+11x ⁵)
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A carton measures 3 feet by 2 feet by 2 feet. A machine can fill the carton with packing material in 3 seconds. How long would i

True [87]

1) we calculate the volume of the first carton:
volume=length x width x height
volume=3 ft * 2 ft * 2 ft=12 ft³

Therefore:
A machine can fill 12 ft³ in 3 seconds.

2) we calculate the volume of the second carton.
volume=length x width x heigth
volume=4 ft * 5 ft * 6 ft=120 ft³

3) we calculate the time that the machine needs for fill the second carton with packing material by the rule of three.

12 ft³---------------------3 seconds
120 ft³-------------------- x

x=(120 ft³ * 3 seconds) / 12 ft³=30 seconds.

answer: 30 seconds.

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3 years ago