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Airida [17]
3 years ago
12

A conjecture and the flowchart proof used to prove the conjecture are shown.

Mathematics
1 answer:
laiz [17]3 years ago
8 0

Answer:

Given: A triangle ABC in which ∠ CAB=∠2, ∠AC B=∠1,∠C BA=∠3. Also line X passes through vertex C forming three interior angles ∠1,∠4,∠5 such that AB║X C.

To prove:m∠1+m∠2+m∠3=180°

Proof: In Δ ABC,AB║X C

 ∠2=∠5 [∠2 and ∠5 are alternate angles, AB║X C, and AC is a Transversal ] ..............(1)

∠3=∠4 [∠3 and ∠4 are alternate angles ,AB║X C, and BC is a Transversal ]......................(2)

∠1,∠4 and∠5 lie on line XC.

∠1+∠4 +∠5=180°[ Linear pair axiom]

∠1+∠2+∠3=180° [ Using 2 and 3]

Hence proved.




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Sphinxa [80]

Answer:

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Step-by-step explanation:

The first step is to separate the whole number number from the decimal.

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Next would to see in which place the decimal number is in. .48 is in the hundredths place so we put 48 over 100 like this 48/100

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Lastly we simplify the fraction. 48 divided by 2 and 100 divided by 2

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This can be simplified even more

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allochka39001 [22]
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you need to make a closed top rectangular tank that is 19 inches wide, 30 inches deep and 18 inches high. how many square feet o
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Length in feet multiplied by width in feet multiplied by height in feet divided by 27 equals cubic yards needed.

When dealing in inches: convert inches to feet by dividing by 12.

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