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zhenek [66]
3 years ago
7

Which example illustrates an improper use of deductive reasoning? . A.All girls in Mrs. Lopez’s class have brown hair. Cassandra

is in Mrs. Lopez’s class. Therefore, Cassandra has brown hair.. B.All isosceles triangles have two congruent sides. abc is a triangle. Therefore abc has two congruent sides.. C.All residents of Townsburg have a pet. Josiah lives on the north side of Townsburg. Therefore, Josiah has a pet.. D.All rhombi have diagonals that intersect at right angles. A square is a type of rhombus. Therefore, a square’s diagonals intersect at right angles.. .
Mathematics
2 answers:
kotegsom [21]3 years ago
5 0
"All isosceles triangles have two congruent sides. abc is a triangle. Therefore abc has two congruent sides" is the statement that is an example that <span>illustrates an improper use of deductive reasoning. The correct option among all the options that are given in the question is the second option or option "B". I hope it helps you.</span>
Vesnalui [34]3 years ago
5 0

Answer:

B. All isosceles triangles have two congruent sides. abc is a triangle. Therefore abc has two congruent sides.

Step-by-step explanation:

Deductive reasoning is a logical reasoning where the conclusion is based on the harmony of multiple premises and these premises are generally assumed to be true.

So, here the improper use of deductive reasoning is in - All isosceles triangles have two congruent sides. abc is a triangle. Therefore abc has two congruent sides.

ABC can be any triangle. It cannot be concluded that triangle abc has two congruent sides.

Rest all options are based on deductive reasoning.

You might be interested in
Select the correct answer from each drop-down menu.
tino4ka555 [31]

Answer:   The correct answer is:   [C]:  "  15^{(7/4)} " .

____________________________________

Step-by-step explanation:

____________________________________

Note the property for square roots in exponential form:

_____________________________________

     →    \sqrt[a]{(b)^ c}  ;  ↔  bb^{(c/a)} ;

    { a\neq 0 ; [a^{(b/c)}]\neq 0 ; c\neq 0  .}.

_____________________________________

As such, given:

     →    \sqrt[4]{(15^7)} ;  

  a = 15,  b = 7,  c = 4 .

     

     →    \sqrt[4]{(15^7)} ;   ↔  15^{(7/4)} ;

     →  which corresponds to:

_____________________________________

Answer choice:  [C]:  "  15^{(7/4)} " .

_____________________________________

Hope this helps!

  Wishing you well in your academic endeavors!

_____________________________________

5 0
3 years ago
Determine whether the given lengths can be sides of a right triangle. Explain. 10 in., 24 in., 26 in.
notsponge [240]
10 in, 24 in, and 26 in. By the Converse of the Pythagorean Theorem, the lengths must satisfy the equation c² = a² + b². Let 26 = hypotenuse and 10 and 24 the legs of the triangle.
26² = 10² + 24²
676 = 100 + 576
676 = 676.
Yes, they can be lengths of a right triangle.
4 0
3 years ago
What is 4C (matrix) ?
Cerrena [4.2K]
The 4C matrix is obtained when all elements of matrix C are multiplied by 4. It <span>has all the same elements as C, only multiplied by 4.
Let's analyze all matrices
A. Not all elements of A can be divided by 4 (3 can not be divided by 4, the solution is not a whole number).
B. All elements of matrix B can be divided by 4, which means that B is a $C matrix (there is a matrix C which multiplied by 4 gives the matrix B).
C. Not all elements of C can be divided by 4.
D. Not all elements of D can be divided by 4.

Solution: B
</span>
4 0
4 years ago
Openstudt what are the coordinates of the turning point for the function f(x) = (x − 2)3 + 1? (−2, −1) (−2, 1) (2, −1) (2, 1)
Dominik [7]

f(x) = (x - 2)^3 + 1

Find the derivative:-

f'(x) =   3(x -2)^2   This = 0 at the turning points:-

so 3(x - 2)^2 =  

giving x = 2 .  When x = 2     f(x)  =  3(2-2)^3 + 1 = 1

Answer is (2, 1)


3 0
3 years ago
Jayanta is raising money for the? homeless, and discovers each church group requires 2 hr of letter writing and 1 hr of? follow-
boyakko [2]

Answer:

Jayanta needs 2 labor union groups and 8 church groups.

Step-by-step explanation:

Let c denotes churches .

Let l denotes labor unions.

We know that Jayanta can only spend 20 hours letter writing and 14 hour of follow-up.

So, equations becomes:

2c+2l=20

c+3l=14

And total money raised can be shown by = 150c+175l

We have to maximize 150c+175l keeping in mind that 2c+2l \leq 20 and c+3l \leq 14

We will solve the two equations:  2c+2l=20 and c+3l=14

We get l = 2 and c = 8

And total money raised is 150\times8 + 175\times2 = 1200+350=1550 dollars.

Hence, Jayanta needs 2 labor union groups and 8 church groups.

8 0
3 years ago
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