Answer:
C = 66 cm
Step-by-step explanation:
C = pi*diameter
C = pi*21
C= 65.9734457254
C is around 66 cm (when rounded to whole number)
Using a two-column proof, the given paragraph proof that proves AC = CE can be written as shown in the attachment below. (see attachment for image of the two-column proof).
A two-column proof is simply a table showing two columns.
The left column, you have a statement.
The right column, you have the reason that makes the statement in the left column to be true.
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In this question, we are given a paragraph proof that proves that AC = CE.
Everything we need to prove that AC = CE have already been given in the paragraph proof. All you're to do is to translate or covert the paragraph proof to a two-column proof as shown below:
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1. Statement: AB = CD
Reason: Given
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2. Statement: AB + BC = CD + BC
Reason: Addition Property of Equality
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3. Statement: BC = DE
Reason: Given
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4. Statement: AB + BC = CD + DE
Reason: Substitution Property of Equality
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5. Statement:
AB + BC = AC
CD + DE = CE
Reason: Segment Addition Postulate
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6. Statement: AC = CE
Reason: Substitution Property of Equality
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Hence, the paragraph proof that proves AC = CE can be written as a two-column proof as shown in the attachment below.
Answer:
x = 8
Step-by-step explanation:
Since we know that the 2 triangles are similar (AA Similarity), we find the ratio of Triangle PLM: 2
We then multiply 4 by 2 (the ratio) to get x = 8 as length JK.
Answer:
14 : 18, 14 to 18, 14/18
You can also use the reduced ratio.
7 : 9, 7 to 9, 7/9