Answer:
88 units
Step-by-step explanation:
BR || WN (Given)
Therefore,
(Alternate angles)
(Vertical angles)
(AA postulate)
(csst)
RN = OR + ON
RN = 32 + 56
RN = 88 units
P = 2(L + W)
P = 14
W = L - 5
14 = 2(L + L - 5)
14 = 2(2L - 5)
14 = 4L - 10
14 + 10 = 4L
24 = 4L
24/4 = L
6 = L.......the length is 6 inches
W = L - 5
W = 6 - 5
W = 1 <=== the width is 1 inch
The answer is b !
hope this helps !!
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.
--
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:
--
1. Statement: AB = CD
Reason: Given
>>
2. Statement: AB + BC = CD + BC
Reason: Addition Property of Equality
>>
3. Statement: BC = DE
Reason: Given
>>
4. Statement: AB + BC = CD + DE
Reason: Substitution Property of Equality
>>
5. Statement:
AB + BC = AC
CD + DE = CE
Reason: Segment Addition Postulate
>>
6. Statement: AC = CE
Reason: Substitution Property of Equality
--
Hence, the paragraph proof that proves AC = CE can be written as a two-column proof as shown in the attachment below.
Answer:
C. The greatest common factor was not factored out correctly from second group
Step-by-step explanation:
The following lines show the process of factorization by using common factor.
<u>Line 1:</u>
In line 1, the equation is given and is grouped from which common factors can be taken. This is completely fine.
The only thing missing was equate to zero, but the options below talk about correct factors only, therefore this can't be considered as a mistake and can be ignored completely.
<u>Line 2:</u>
In line 2, the common terms are taken out from groups. The common term x is taken from group 1 which is fine. In second group the common term -y is taken out, which is fine but it was not factored out correctly. The correct factorization would have been:
which is different from what is given in line 2.
Options:
A. The grouping is correct in line 1. So this option is does not hold.
B. Common factor was factored correctly from group 1. So this option does not hold.
C. Common factor was not factored correctly from group 2. So this option holds and is correct. Thus we choose this option as correct answer.
D. There is a mistake. So this option is also not correct.