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il63 [147K]
3 years ago
12

Proving Vertical Angles Are Congruent

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
4 0

Answer:

Statements:                                                 Reasons:

1) ∠2 and ∠4 are vertical angles               given

2) limes <em>m </em>and <em>n </em>intersect at <em>P                    </em>definition of vertical angles

3) ∠3 and ∠4 are linear pair                       definition of linear pair

4) ∠2 and ∠3 are linear pair                       definition of linear pair

5) m∠3 + m∠4 =180                                     angle addition postulate

6) m∠2 + m∠3 =180                                     angle addition postulate

7) m∠2 + m∠3 = m∠3 + m∠4                   substitution property

8) m∠2 = m∠4                                             subtraction property

9) ∠2 ≅ ∠4                                                 definition of congruent(≅) angles

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Simplest form of 2/10
slega [8]
To simplify fractions, all you have to do is divide both the numerator and the denominator by the greatest common factor of both integers.

In this case, the greatest common factor of 2 and 10 is 2.

2/2=1
10/2=5

So, 2/10 in its simplest form is 1/5.
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3 years ago
Determine the number of shaded sections for each model
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Step-by-step explanation:

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Help please? i would really appreciate it.
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Answer:

The answer is option C i.e; y=0.9x-45

Step-by-step explanation:

When you substitute the values of x you have to get same values as given in the table

For example: substitute x=50 in the equation y=0.9x-45

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3 years ago
In the set of consecutive integers from 15 to 30 inclusive, two integers are multiples of both 3 and 5. How many integers in thi
Lisa [10]

Answer:

Step-by-step explanation:

To make it easy let's list the integers that are beetwen 15 to 30 inclusive :

15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30

  • the numbers that are multiples of both 5 and 3 are ending with 5 and 0 and the sum o their digits is a multiple of 3
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the the whole interval ]15,30[ is the answer

8 0
3 years ago
Read 2 more answers
Paige and Natalie have the same ratio of green marbles in their bags of marbles. Paige has 4 green marbles and 16 total marbles.
laiz [17]
<h2><u>Answer:</u></h2>

Natalie has a total of <u>40 marbles.</u>

<u />

<h2><u>Step-by-step explanation:</u></h2>

If 4 of Paiges' marbles are green, then we would write this as the ratio

<u>4:16</u>, or <u>1:4</u>

This means that for every green marble she has, she has 4 total marbles

Therefore, if Natalie has 10 green marbles, we would multiply this by 4 to get a total of <u>40 marbles.</u>

6 0
2 years ago
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