1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Artyom0805 [142]
3 years ago
8

If a triangle is an isosceles triangle, then it has two sides of equal length. If a triangle has two sides of equal length, then

it has two angles of equal measure
Conclusion:
If a triangle is an isosceles triangle, then it has two angles of equal measure.



The argument is not valid because the conclusion does not follow from the premises.

The argument is valid by the law of syllogism.

The argument is not valid because the premises are not true.

The argument is valid by the law of detachment.
Mathematics
2 answers:
ivann1987 [24]3 years ago
8 0

we know that

<u>The Law of Syllogism</u> says that if the following two statements are true:

(1) If p -------> then q .

(2) If q-------> then r .

Then we can derive a third true statement:

(3) If p--------> then r .

In this problem

(1) If a triangle is an isosceles triangle, then it has two sides of equal length

(2) If a triangle has two sides of equal length, then it has two angles of equal measure

Let

p-------> the statement " an isosceles triangle"

q--------> the statement " has two sides of equal length"

r--------->  the statement "has two angles of equal measure"

Then (1) and (2) can be written

1) If p , then q .

2) If q , then r .

So, by the Law of Syllogism, we can deduce

3) If p , then r

or

If a triangle is an isosceles triangle, has two angles of equal measure

therefore

<u>the answer is</u>

The argument is valid by the law of syllogism.

Ann [662]3 years ago
3 0
It is valid through syllogism

You might be interested in
Can someone help me with this?
Readme [11.4K]
I have question that too but quadratic equations
5 0
3 years ago
Read 2 more answers
I need some help to tell whether a table is a linear or non linear function
Doss [256]

A linear equation has the form:

y=mx+b

Let's find a linear equation using the table, and let's check if it satisfy all the points:

\begin{gathered} x=0,y=-1 \\ -1=b \\ ------ \\ x=1,y=1 \\ 1=m+b \\ 1=m-1 \\ m=2 \end{gathered}

so:

y=2x-1

Let's check the other points:

\begin{gathered} x=-3 \\ y=2(-3)-1=-6-1=-7_{\text{ }}True \\ ------ \\ x=-2 \\ y=2(-2)-1=-4-1=-5_{\text{ }}True \\ ------ \\ x=-1 \\ y=2(-1)-1=-2-1=-3_{\text{ }}True \end{gathered}

Therefore, we can conclude it is a linear function.

6 0
9 months ago
A rectangle is drawn so that the width is 4 feet shorter than the length. the area of the rectangle is 32 square feet. find the
Bogdan [553]
L=W-2LW=35 substitute in W-2 for L(W-2)(W)=35W2 -2w -35=0(W-5)(W-7)=0therefore w=7 and L=5
3 0
3 years ago
Which expression can be used to determine the slope of the linear function graphed below?
Jlenok [28]

Answer:

  StartFraction negative 4 minus 0 Over 0 minus 2 EndFraction

Step-by-step explanation:

Slope is the ratio of the difference of y-coordinates to the difference of the corresponding x-coordinates. For points (0, -4) and (2, 0) that can be ...

  m = (-4-0)/(0-2) . . . . matches the 2nd choice

7 0
2 years ago
Read 2 more answers
An airplane is at 32,000 ft above sea level and descends at an average rate of 1,000 ft per minute. How many minutes will it tak
slavikrds [6]
29 minutes-  at a rate of 1,000 feet a minute, it would take 32 minutes to reach sea level (32,000/1000=32)but if you subtract 3000 from 32000 to remain 3000 feet above sea level, you have 29000 feet to descend which will take 29 minutes

4 0
3 years ago
Read 2 more answers
Other questions:
  • In circle Y, What is mTU?
    5·2 answers
  • This data represents the number of oil changes completed each day last week at Jeff's Auto Center. 19, 16, 24, 12, 16, 21, 18 Wh
    6·1 answer
  • Which function is a translation of the parent absolute value function?
    10·1 answer
  • Divide and simplify as much as possible: -20v^7 x^7 + 12v^4 x^7 / 4v^5 x^4
    7·1 answer
  • A and B can separately do a piece of work in 24 days and 16 days respectively. They worked together for 6 days, after which B wa
    5·1 answer
  • What is cot θ when sin θ = square root of 3 divided by 3? Rationalize the denominator if necessary.
    15·1 answer
  • I need to know how to go by completing this
    15·1 answer
  • The ordered pairs (6, 8), (9,12),(x, 20),(18,y) represent a proportional relationship. find the value of x and y. (choose two an
    13·1 answer
  • What is the value of x, rounded to the nearest tenth?
    14·2 answers
  • Identify all pairs of congruent corresponding parts. Then write another congruence statement for the triangles.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!