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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.



You might be interested in
Question 1 options:<br><br> 68°<br><br> 136°<br><br> 158°<br><br> 112°
Luden [163]

9514 1404 393

Answer:

  (d)  112°

Step-by-step explanation:

Opposite angles in an inscribed quadrilateral are supplementary.

∠P = 180° -∠R = 180° -68°

∠P = 112°

6 0
2 years ago
Read 2 more answers
A store is having a 20%-off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purc
grin007 [14]

Answer:

The original price of her purchase was $65.

Step-by-step explanation:

From the information given, you know that $13 represents 20% of the original price and you can use a rule of three to find the value that represents 100%, which would be the original pice of her purchase:

$13 →  20%

 x   ← 100%

x=(13*100)/20

x=1300/20

x=65

According to this, the answer is that the original price of her purchase was $65.

8 0
2 years ago
Please help and thank you
Ksivusya [100]

Answers: Angle A is 36 degrees, angle C is 54 degrees

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

Work Shown:

The angles A and C are complementary, meaning they add to 90 degrees.

(Angle A) + (Angle C) = 90

(2x-4) + (2x+14) = 90

(2x+2x)+(-4+14) = 90

4x+10 = 90

4x+10-10 = 90-10 .... subtract 10 from both sides

4x = 80

4x/4 = 80/4 ..... divide both sides by 4

x = 20

If x = 20, then,

angle A = 2x-4 = 2*20-4 = 40-4 = 36 degrees

angle C = 2x+14 = 2*20+14 = 40+14 = 54 degrees

Note how A+C = 36+54 = 90 which helps confirm our answers.

8 0
3 years ago
Calculate the angle to the nearest degree: csc (x) = 1.0353
sammy [17]

Answer:

75^{\circ}

Step-by-step explanation:

Given: \csc (x) = 1.0353

To find: angle to the nearest degree

Solution:

A triangle is a polygon that has three sides, three angles ,and three vertices.

Trigonometry explains the relationship between the sides and angles of the triangle.

The angle can be expressed in two forms: degrees or radians.

\csc (x) = 1.0353\\x=74.995\approx 75^{\circ}

5 0
3 years ago
Suppose x and y vary together such that y = 2 x + 11 . Suppose x varies from x = 2 to x = 8.5 .
Stells [14]

Answer:

a) x changes by 6.5 units

b) y changes by 13 units

Step-by-step explanation:

a. Over this interval, how much does x change by?

Initially, we have that x = 2.

In the end, we have that x = 8.5.

So x changes by 8.5-2 = 6.5 units

b. Over this interval, how much does y change by?

Initially, when x = 2, we have that y = 2x + 11 = 2*2 + 11 = 15

In the end, when x = 8.5, we have that y = 2*8.5 + 11 = 28

So y changes by 28 - 15 = 13 units

8 0
3 years ago
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