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denpristay [2]
3 years ago
10

Which of the following is the contrapositive of the following statement: If it is past 5:00 p.m., Megan’s office building is not

empty
A: If Megan’s office building is empty, then it is past 5:00 pm.

B: If Megan’s office building is empty, then it is not past 5:00 p.m.

C: If Megan’s office building is empty, then it is past 5:00 p.m.

D: If it is not past 5:00 p.m. Megan’s office building is empty.
Mathematics
1 answer:
scoundrel [369]3 years ago
7 0

Answer:

B

Step-by-step explanation:

A contrapositive statement is one that switches the hypothesis and conclusion of a conditional statement and negates both. In our hypothesis,

"If it is past 5:00 p.m., Megan’s office building is not empty", we shall break it into two statements and show the contarpositive of each like shown below.

Hypothesis                                             Contrapositive

Megan’s office building is not empty- Megan’s office building is empty

It is past 5:00 p.m  - it is not past 5:00 p.m

And thus the contrapositive statement becomes

If Megan’s office building is empty, then it is not past 5:00 p.m.

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Which ordered pairs are in a proportional relationship with (0.2, 0.3)?
MAXImum [283]

Answer:

C and E

Step-by-step explanation:

We are given that

x_1=0.2,y_1=0.3

\frac{y}{x}=\frac{0.3}{0.2}=\frac{3}{2}

k=\frac{y}{x}=\frac{3}{2}

A.x_2=1.2,y_2=2.3

\frac{y_2}{x_2}=\frac{2.3}{1.2}=\frac{23}{12}\neq=\frac{3}{2}

Hence, it is not in proportional relationship with (0.2,0.3)

B.(2.7,4.3)

x_3=2.7,y_3=4.3

\frac{y_3}{x_3}=\frac{4.3}{2.7}=\frac{43}{27}\neq\frac{3}{2}

Hence, it is not in proportional relationship with (0.2,0.3).

C.(3.2,4.8)

x_4=3.2,y_4=4.8

\frac{y_4}{x_4}=\frac{4.8}{3.2}=\frac{3}{2}

Hence, the ordered pair (3.2,4.8) are in a proportional relationship with (0.2,0.3).

D.(3.5,5.3)

\frac{y_5}{x_5}=\frac{5.3}{3.5}=\frac{53}{35}\neq \frac{3}{2}

Hence, the ordered pair (3.5,5.3) are not in a proportional relationship with (0.2,0.3).

E.(5.2,7.8)

\frac{y_6}{x_6}=\frac{7.8}{5.2}=\frac{3}{2}

Hence, the ordered pair (5.2,7.8) are in a proportional relationship with (0.2,0.3).

4 0
3 years ago
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a. 8:21

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Step-by-step explanation:

A=( a+b)h/2

(12+16)4/2

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Step-by-step explanation:

If you look closely an multiply 4 x 8, it equals 32, not 48

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It's pretty simple once you try each problem first

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In the figure below AB is a diameter of circle P. What is the arc measure of minor arc AC in degrees? ​
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Answer:

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Step-by-step explanation:

See attachment for complete question

Required

Determine measure of Arc length AC

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P + 41 - 41= 180 - 41

P = 139

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