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Alex Ar [27]
3 years ago
11

Find the value of x in the isosceles triangle shown below

Mathematics
2 answers:
RUDIKE [14]3 years ago
7 0
The answer is X= 5. Using the pythagorean theorem, and assuming that "b" is 3, half of 6 because the triangle is isosceles, you can solve the problem.   
gogolik [260]3 years ago
4 0
Hello!

The answer to this problem is b. × = 5
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Determine if the following statement is true or false. (Enter TRUE if the statement is true, enter a counterexample if the state
ehidna [41]

Answer:

The answer is: the satement is FALSE.  

Step-by-step explanation:

The first step is to transform the propositons in the statement into symbols:

A: m is any positive integer

B: n is any positive integer

C: mn is a a perfect square

D: m is a perfect square

E: n is a perfect square

After that we replace the symbols into the statement:

If A and B and C, then D and E

Logical connectives on the satement are:

  • p⇒q conditional (if ...,then...). For this connective the only case when is FALSE is when the antecedent is true and the consequent is false.  
  • p ∧ q conjunction (p and q). For this connective the only case when is TRUE is when the two propositions are true at the same time.  

So now, we are going to replace the logical connectives on the statement:

((A ∧ B) ∧ C)  ⇒ (D ∧ E)

There is a hierarchy in logical connectives, first we evaluate those inside brackets. The principal connective is evaluated at the end. In this particular case, the principal connective is the conditional.

As we have five different propositions, the combinations are given by the following rule:

2^n= 2^5=32

32 different combinations  

In figure 1, added bellow, it shows the construction of truth table.

In figure 2, added bellow, it shows the development of the truth table. In the development, we don't have as a result a tautology, therefore the statement is FALSE.  

Download pdf
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pdf </span>
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pdf </span>
8 0
3 years ago
Slove 2/3 (6w-18)=12
Ghella [55]

Hello, the answer is simple it is W=6

7 0
3 years ago
Solve. Justify your responses. a Given:a║b and c║d, m∠ 4=35° Find: m∠1, m∠2, and m∠3
STALIN [3.7K]

Answer:

<em>m∠1 =  90°</em>

<em>m∠2 = 35°</em>

<em>m∠3 = 55°</em>

Step-by-step explanation:

Find the diagram attached

From the diagram:

m

Given that <4 = 35°

m

The sum of the angle on a straight line at point A is 180°. Hence:

90+m

The sum of angle in the triangle ABC is 180°, hence;

m

7 0
2 years ago
Simplify: 6 + (5 + 4) * 3
son4ous [18]

Answer:

33

Step-by-step explanation:

9 x 3 = 27 + 6 = 33

7 0
2 years ago
Read 2 more answers
Find the area of a circle with a radius of 2.
ruslelena [56]

Answer:

A =12.56 units^2

Step-by-step explanation:

The area of a circle is found by

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We know the radius is 2

A = pi (2)^2

A = 4pi

Using 3.14 as pi

A = 4(3.14)

A =12.56 units^2

5 0
3 years ago
Read 2 more answers
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