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Phantasy [73]
3 years ago
7

Which statement is true about this argument?

Mathematics
2 answers:
tekilochka [14]3 years ago
4 0

Answer with explanation:

→The statement is always true that,if two angles form a linear pair ,then they are supplementary.

→Linear pair Axiom states that,if a ray cuts a line ,then sum of adjacent angles on the same side of ray is 180°.

→ The Meaning of term supplementary angles is that, sum of two angles should be equal to 180°.

→If two angles, ∠a And ∠b forms , linear pair ,then ,∠a+∠b=180°, that is if sum of two angles is 180°,it means they are supplementary also.

→But , if sum of two angles is 180°,it does not guarantee that, they will form Linear Pair.

I have illustrated this concept with the help of ,lines, angles, ray,and Transversal .

→So,yes, If two angles form a linear pair,sum of their measures will be 180°,but if two angles are supplementary, it does not guarantee that they will form a linear Pair.

wariber [46]3 years ago
3 0

Answer:

The argument is true by the law of syllogism

Explanation:

Law of syllogism states that for a valid argument form which is a syllogism having a conditional statement for one or both of its premises.

Premises:

1. If p , then q

2. if q, then r

Conclusion: if p, then r.

Let p be the statement "two angles form a linear pair",

let q be the statement "they are supplementary"  and

let r be the statement "the sum of their measures is 180°"

If p, then q

if q,  then r

then by the Law of syllogism statement , conclusion if q then r is true,

i,e If two angles form a linear pair, then the sum of their measures is 180^{\circ}.




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l and n are parallel

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360° around a point

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Find the slope of the line passing through the points (-5,3) and (-7,5).
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Step-by-step explanation:

points (-7,5) and (5,-3)?

This would mean to subtract the y coordinates:

5 - (-3) = 8

Then subtract the x coordinates in the same order:

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Then divide the y result by the x result for the slope:

8/-12 is the slope.

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2 years ago
In a certain Algebra 2 class of 30 students, 19 of them play basketball and 12 of them play baseball. There are 8 students who p
Alenkinab [10]

Answer:

Probability that a student chosen randomly from the class plays basketball or baseball is  \frac{23}{30} or 0.76

Step-by-step explanation:

Given:

Total number of students in the class = 30

Number of students who plays basket ball = 19

Number of students who plays base ball = 12

Number of students who plays base both the games = 8

To find:

Probability that a student chosen randomly from the class plays basketball or baseball=?

Solution:

P(A \cup B)=P(A)+P(B)-P(A \cap B)---------------(1)

where

P(A) = Probability of choosing  a student playing basket ball

P(B) =  Probability of choosing  a student playing base ball

P(A \cap B) =  Probability of choosing  a student playing both the games

<u>Finding  P(A)</u>

P(A) = \frac{\text { Number of students playing basket ball }}{\text{Total number of students}}

P(A) = \frac{19}{30}--------------------------(2)

<u>Finding  P(B)</u>

P(B) = \frac{\text { Number of students playing baseball }}{\text{Total number of students}}

P(B) = \frac{12}{30}---------------------------(3)

<u>Finding P(A \cap B)</u>

P(A) = \frac{\text { Number of students playing both games }}{\text{Total number of students}}

P(A) = \frac{8}{30}-----------------------------(4)

Now substituting (2), (3) , (4) in (1), we get

P(A \cup B)= \frac{19}{30} + \frac{12}{30} -\frac{8}{30}

P(A \cup B)= \frac{31}{30} -\frac{8}{30}

P(A \cup B)= \frac{23}{30}

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