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MissTica
3 years ago
15

Use the premises and conclusion to answer the questions.

Mathematics
2 answers:
Andrews [41]3 years ago
7 0

Answer:

The argument is valid by the law of detachment.

Step-by-step explanation:

Just took the test

Vanyuwa [196]3 years ago
5 0

Answer:

The given argument is valid by the law of detachment

Step-by-step explanation:

Law of Detachment states that if the following two statements are true:

(1) If a , then b .

(2) a

Then we can say a third true statement:

(3) b.

Given:

1) If a triangle has an angle with a measure more than 90°, then the triangle is an obtuse triangle.



2) The measure of an angle in △ABC is 110°.


Let the statement a  be "If a triangle has an angle with a measure more than 90°" , and  b be the statement "the triangle is an obtuse triangle."

then, (1) and (2) can be written as:

1) If a , then b.



2) a

so, by the Law of Detachment, we can say that b is true i.e,

\triangle ABC is an obtuse triangle.



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A 20 foot ladder is leaning up against the side of a house. The construction worker who put it there followed the directions on
GalinKa [24]

Answer:

Keep the ladder at a 66 degree angle of elevation at most.

Step-by-step explanation:

Hypotenuse is 20 feet

Adjacent side is 8 feet

We use inverse cosine to find the angle

arccos(8/20) = 66.4 deg

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3 years ago
The first term of an arithmetic sequence is 5. if the25th term is 101 find the common difference?
d1i1m1o1n [39]
An arithmetic sequence is one where each term is a constant difference, called the common difference, from the preceding term.  The arithmetic sequence can always be expressed as:

a(n)=a+d(n-1), a=first term, d=common difference, n=term number.

We are given two terms and term numbers, so we can solve for the common difference...

101=5+d(25-1)

101=5+25d-d

101=5+24d

96=24d

d=4

So the common difference is 4.


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3 years ago
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creativ13 [48]

Answer:

WALT DISNEY BOIIII

Step-by-step explanation:

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4 years ago
Which of the following expresses 14 + 22 by using the GCF of the two numbers?
mart [117]

Answer:

56

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AT&T has a family plan of four lines for $125 and additional lines are $15 each per month. If Jason wants to spend at most $
denis-greek [22]

Given:

Cost of four lines = $125

Cost of each additional line = $15

Jason wants to spend at most $200 per month on cell phone expenses.

To find:

The inequality for the given situation.

Solution:

Let x be the number of additional line.

Cost of one additional line = $15

Cost of x additional line = \$15x

Total cost = Fixed cost + Addition cost

                = 125+15x

It is given that Jason wants to spend at most $200 per month on cell phone expenses. It means the total cost must be less than or equal to 200.

125+15x\leq 200

Therefore, the correct option is C.

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