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IRISSAK [1]
2 years ago
10

Write a two-column proof for the following information. Upload your proof below.

Mathematics
1 answer:
Evgesh-ka [11]2 years ago
4 0

Statements                                                                              Reasons

1.) M is the midpoint of CD; CM = 5x – 2; MD = 3x + 2    1.) Given

2.) CM=MD                                                                          2.) Definition of midpoint

3.) 5x-2=3x+2                                                                       3.) Substitution

4.) 2x-2=2                                                                             4.) Subtraction Property of Equality

5.) 2x=4                                                                                 5.) Subtraction Property of Equality

6.) x=2                                                                                  6.) Division Property of Equality

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Tell whether the number 68 is a prime or composite number
stich3 [128]
68 is composite it has more factors than 1 and itself
8 0
3 years ago
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Solve the rational inequality x-2/x + x+2/x+3 < 3/2 represent your answer using a number line and using interval notation
Firdavs [7]

Answer and explanation:

To solve the inequality x-2/x + x+2/x+3 < 3/2 we have to first simplify the expressions on the left side of the inequality sign. And so we multiply x by the expressions on the left side to eliminate fractions:

=x(x-2/x)+x(x+2/x)+x(3)< 3/2

=x-2+x+2+3x < 3/2

=5x < 3/2

x < 3/2/5

x < 3/2×5/1

x < 15/2

x < 7 1/2 or 7. 5

7 0
3 years ago
N is an integer.<br> Write the values of n such that -15 &lt; 3 ≤ 6<br><br> Help please ❤️❤️
Alex17521 [72]

Answer:

-4,-3,-2,-1,0,1

Step-by-step explanation:

First, doublepound and simplify it.

-15<3n

3n<6

Solve:

-5<n

n<2

Compound:

-5<n<2.

So the values are -4,-3,-2,-1,0,1

Hope this helps plz hit the crown :D

8 0
3 years ago
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Find the volume of a cylinder with a diameter if 10 cm and a height of 10 cm?​
RideAnS [48]

Step-by-step explanation:

volume of cylinder=π(d/2)²h=π/4×10²×10=250πcm³

7 0
2 years ago
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A bag contains 20 marbles: 12 red, 4 blue, 3 yellow, and 1 green. Arielle takes out 2 marbles. What is the probability that they
Marysya12 [62]

Total number of marbles in the bag =20

Number of blue marbles =4

Now we just want two blue marbles out of four.

Probability of taking out first marble which is blue =4/20

Now after we took out one blue marble , number of blue marbles left are 3.

Probability of taking out second marble which is blue =3/20

Total probability = 4/20 *3/20 = 12/400

So probability of taking out two blue marbles is 0.03 or 12/400.


3 0
3 years ago
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