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Elina [12.6K]
3 years ago
11

What is the value of X

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
3 0

Answer:

27=x

Step-by-step explanation:

We can use the triangle angle bisector theorem

x+8            2x-5

--------- = ------------

10                14

Using cross products

14(x+8) = 10 (2x-5)

Distribute

14x +112 = 20x -50

Subtract 14x from each side

14x-14x +112 = 20x-14x -50

112 = 6x-50

Add 50 to each side

112+50 = 6x-50+50

162 = 6x

Divide by 6

162/6 = 6x/6

27=x

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Find An Bif A = {3, 6, 9, 12) and B = {2, 4, 6, 8, 10).​
viva [34]

Answer:

The set A ∩ B contain {6, 12}

Step-by-step explanation:

Given : set A = {3, 6, 9, 12} and set B = {2, 4, 6, 8, 10, 12}

We have to find A ∩ B  

Consider the given sets

Set A = {3, 6, 9, 12}  

and set B = {2, 4, 6, 8, 10, 12}

Since, A ∩ B  includes those elements that are both in set A and set B.

Thus, the common elements of A and B are 6 and 12  

So , the set A ∩ B contain {6, 12}

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3 years ago
Insert two rational number between 1.3 bar and 1.4 bar​
jok3333 [9.3K]

<u>General method</u><u>:</u>

Given numbers are 1.3 bar and 1.4 bar

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  • 1.4 bar = 1.444...

Two rational numbers between them

= 1.3222... and 1.43333...

<u>Mean Method</u><u>:</u>

Let X = 1.333... → → →eqn(i)

since the periodicity is 1 then multiply eqn(i) with 10

⇛10×X = 1.333...×10

⇛10X = 13.333... → → →eqn(ii)

Subtract eqn(ii)-eqn(i)

10X = 13.333...

X = 1.333...

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9X = 12.000...

____________

⇛9X = 12

⇛X = 12/9

⇛X = 4/3

and

Let X = 1.444... → → →eqn(i)

since the periodicity is 1 then multiply eqn(i) with 10

⇛10×X = 1.444...×10

⇛10X = 14.444...→ → →eqn(ii)

Subtract eqn(ii)-eqn(i)

10X = 14.444...

X = 1.444...

(-)

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9X = 13.000...

____________

⇛9X = 13

⇛X = 13/9

Now we have 12/9 and 13/9

The rational number between them by mean method (a+b)/2

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⇛(25/9)/2

⇛25/18

and Second rational number

⇛{(12/9)+(25/18)}/2

⇛{(24+25)/18}/2

⇛(49/18)/2

⇛49/36

<u>Answer</u><u>:</u> The two rational numbers between them are 25/18 and 49/36.

<u>also</u><u> read</u><u> similar</u><u> questions</u><u>:</u> INSERT TWO RATIONAL NUMBERS BETWEEN 2 AND 3. How to find them?

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Answer:

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Step-by-step explanation:

In a conditional statement

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The hypothesis goes with the if part.

8 0
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Answer:

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Step-by-step explanation:

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