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Grace [21]
2 years ago
12

The sum of all prime factors of 100 is

Mathematics
1 answer:
Taya2010 [7]2 years ago
8 0

Answer:

14

Step-by-step explanation:

prime factorization of 100

100 =  2 * 2 * 5 * 5

Sum of all prime factors

2 + 2 + 5 + 5  = 14

-------------------------

Extra credit

Sum of unique prime factors

2 + 5 = 7

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Which step is the same in the construction of parallel lines and the construction of a perpendicular line through a point on the
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Answer:

D.Place the compass on a point on the original line.

Complete Question:

A.Create only one arc that intersects the original line.

B.Create two arcs that intersect the original line.

C.Place the compass on a point off the original line.

D.Place the compass on a point on the original line.

Step-by-step explanation:

* Lets revise the steps of constructing parallel lines and a perpendicular line through a point on the line

<em># Contracting parallel lines</em>

- Given: Line AB and point P not on AB

1. Draw a slant line through point P and intersects AB at point C, this line is the transversal of the parallel lines

2.<u> Place the pin of the compass at point C</u> and draw an arc intersects AB at D and CP at E

3. Without changing the distance of the compass put the pin of the compass on point P and draw an arc intersects CP at point Q

4. Use the compass to measure the distance from D to E and place the pin of the compass at point Q and draw an arc intersects the arc from P to CP at point U

5. Join P and U by a line this line is parallel to AB

<em># Constructing a perpendicular line through a point on the line</em>

- Given line AB and point P lies on it

1. <u>Place your compass pin at P </u>and draw an arc of any size below AB that crosses the line twice at points C and D

2. Stretch the compass to a larger distance

3.<u> </u>Place the compass pin on point C<u> </u>and draw a small arc above the line

4. Without changing the distance of the compass place the compass pin on point D and draw another arc intersects the arc from C at point E

5. Using a straightedge, join P and E where PE is perpendicular to AB

*<em> Lets find the same steps in the constructions</em>

∵ In first construction we put the pin of the compass at point C which  lies in the original line AB

∵ In second construction we put the pin of the compass at point P which lies in the original line AB

∴ The common step is:  <em><u>"Place the compass on a point on the original line"</u></em>

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3 years ago
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Answer:

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Step-by-step explanation:

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Which expression is equal to a + (b + c)?
trasher [3.6K]

Answer:

The correct option is (a+b)+c

Step-by-step explanation:

The correct option is (a+b)+c

According to the Associative property for Addition:

a+(b+c)=(a+b)+c

The associative property states that you can add or multiply regardless of how the numbers are grouped.

.If you are adding or multiplying it does not matter where you put parenthesis.

Thus the correct option is A....

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3 years ago
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zavuch27 [327]

Answer:

x = 10

Step-by-step explanation:

It's given in the question that both the traingles JCD & JKL are similar. So their ratio of corresponding similar sides will be proportional to each other.

=  >  \frac{JD}{JL} =  \frac{JC}{JK}  =  \frac{DC}{LK}

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Answer:

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3 years ago
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