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Yuliya22 [10]
1 year ago
15

Write the first statement as a conditional. If possible, use the Law of

Mathematics
1 answer:
d1i1m1o1n [39]1 year ago
5 0

Answer:

1. If there is a citrus fruit, then it will grow in warm climates

2. Oranges grow in warm climates

Step-by-step explanation:

Conditional form: If p, then q

What is the Law of Detachment?

It means that if a conditional (if p then q), is true and its hypothesis(p) is true, then its conclusion is true(q). In this scenario, p is true, there is a citrus fruit. Therefore oranges grow in warm climates.

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It is true that the product of two consecutive even integers are always one less than the square of their average.

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

Let the two consecutive odd integers be 1 and 3.

  • The product of 1 and 3 is (1\times3)=3
  • The average of 1 and 3 is (1+3)/2 =4/2 = 2
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∴ The product 3 is one less than the square of their average 4.

Let the two consecutive even integers be 2 and 4.

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∴ The product 8 is one less than the square of their average 9.

Thus, It is true that the product of two consecutive even integers are always one less than the square of their average.

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3 years ago
Need help with this problem
alexandr1967 [171]

Answer:

x = 10

Step-by-step explanation:

Since the triangles are similar the ratios of corresponding sides are equal

\frac{20}{20+8} = \frac{3x}{4x+2}, that is

\frac{20}{28} = \frac{3x}{4x+2} ( cross- multiply )

20(4x + 2) = 84x

80x + 40 = 84x ( subtract 80x from both sides )

40 = 4x ( divide both sides by 4 )

x = 10



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