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skelet666 [1.2K]
3 years ago
13

Which of the following is the contrapositive of the statement "If it is raining, then I will take my umbrella"?

Mathematics
1 answer:
xxMikexx [17]3 years ago
5 0
For a conditional statement "If p, then q" the contrapositive is "If not q, then not p."

"If I will not take my umbrella, then it is not raining."

That's a little awkward, grammatically, maybe "If I don't take my umbrella, then it is not raining."

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4. Is the point (3,-4) a solution to the given system? Justify your answer.
Zigmanuir [339]

Answer: No, it is not a solution

==========================================================

Explanation:

The point (3,-4) means that x = 3 and y = -4 pair up together

Let's plug these x,y values into each equation

Starting with the first equation, we get,

y = 4x-16

-4 = 4(3)-16 ... x replaced with 3; y replaced with -4

-4 = 12-16

-4 = -4 .... this is a true statement

Repeat for the second equation

y = 2x-6

-4 = 2(3)-6

-4 = 6-6

-4 = 0 ... this is false

Since we get a false statement, this means (3,-4) is not on the line y = 2x-6, which means that overall (3,-4) is not a solution to the system of equations. The point (3,-4) must make both equations true for it to be a solution.

5 0
3 years ago
Find the measures of 1 and 2
juin [17]

Answer:

1 ) ∠1 = 105    ∠2 = 75

2) ∠1 = 50     ∠2 = 50

Step-by-step explanation:

4 0
3 years ago
6.<br> What is the midpoint of the line segment whose<br> endpoints (7,-4) and (-3, -2)?<br> are
quester [9]

Answer: (2, -3)

Step-by-step explanation:

To find the the answer, you will need to use the midpoint formula, which is as following:

(x₁+x₂/2, y₁+y₂/2)

Since we have two coordinates, let's substitute them into the equation.

(7 + (-3 )/ 2, (-4) + (-2)/2)

We should first add 7 and -3 together, as well as -4 and -2.

(4/2, -6/2)

We then divide 4 and -6 by 2. This would give us our midpoint coordinate.

(2, -3)

6 0
3 years ago
Please help me :/
inessss [21]

Answer:

The answer to your question is:

Step-by-step explanation:

  m ∠ 1  = 27°

 m ∠ 1 and m ∠ 2 are supplementary

m ∠ 1 + m ∠ 2 = 180°

27° + m ∠2 = 180°

m ∠ 2 = 180° - 27°

m = 2 = 153°

7 0
3 years ago
Pleasee its pretty easy someone helpp
SVEN [57.7K]

Answer:

81.5, 9, 180

Step-by-step explanation:

28.

c=9

9x9=81

a=1/2

81+1/2=81.5

29.

9x1/2=4.5

4.5x2=9

30.

15x15=225

9x5=45

225-45=180

hope this helps!!!

6 0
3 years ago
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