Contrapositive – the statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement.
Converse – the statement formed by exchanging the hypothesis and conclusion of a conditional statement. Counterexample – an example used to show that a given statement is not always true.
Answer:
Hello! Your answer would be BELOW
Step-by-step explanation:
In the history of education the one-room schoolhouse has played an important role in several countries. In the rural areas of the US Midwest and in Norway the one-room schoolhouse was the most common school in the second half of the nineteenth century and the first decades of the twentieth. Although the schoolhouses at first sight seem identical there are some interesting points of distinction in their educational history and how their legacy is interpreted, managed, preserved and promoted today. In the Midwest they are a beloved national icon, often listed, embodying national values and virtues. In Norway their story is effectively untold, not a single one is listed on national preservation lists and by no means do they embody national identity, virtues or values. This article offers an explanation for this different treatment.
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Answer:
x = 7
Step-by-step explanation:
To solve:
Distribute 5 among everything inside the first parentheses. You'll get 5x - 15.
Next distribute -2 among everything in the second parentheses. You'll get
-2x - 2.
<u>All together: 5x - </u><u>15</u><u> </u><u>-</u><u>2x </u><u>-</u><u> </u><u>2</u><u> </u><u>= 4</u>
Now combine like terms:
5x - 2x = 3x and -15 - 2 = - 17
<u>All</u><u> </u><u>together</u><u>: 3x -</u><u> </u><u>17 = 4</u>
Add 17 on both sides to get 21, and then divide both sides by 3. Answer is x = 7.
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Last, don't forget to check your work.
You can plug in 7 for x to get:
5(7 - 3) = 20
5 × 7 = 35
5 × -3 = -15
35 - 15 = 20
-2(7 + 1) = -16
-2 × 7 = -14
-2 × 1 = - 2
-14 -2 = -16
<u>20 - 16 = 4</u>
⬆⬆⬆Therefore this is correct.
Sorry this is a bit lengthy, but hope this helps :)