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Tasya [4]
3 years ago
13

Find thr valuse of x, rounded to the nearest tenth.3.842.72.9​

Mathematics
2 answers:
ratelena [41]3 years ago
7 0

Answer:

Option 2. x = 4 is the correct option.

Step-by-step explanation:

Given parameters are two chords with the length of 6, 8 with the segments x and 3 respectively.

As we know from the theorem of secants drawn in a circle from a point outside the circle is

3 × 8 = x × 6

x = (3 × 8)/6 = 24/6 = 4

therefore x = 4 is the correct answer.

irina1246 [14]3 years ago
3 0

Answer: 4  (OPTION 2)

Step-by-step explanation:

1. To solve this problem you must apply the  Intersecting secants  theorem, as you can see below:

(A+B)B=(C+D)D

Where:

(A+B)=6

B=x\\(C+D)=8\\D=2

2. Then you must susbstitute values and solve for x, as following:

6x=24\\x=24/6\\x=4

Therefore the answer is the second option.

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In Matrix we use initially based on systems of linear equations.The matrix method is similar to the method of Elimination as but is a lot cleaner than the elimination method.Solving systems of equations by Matrix Method involves expressing the system of equations in form of a matrix and then reducing that matrix into what is known as Row Echelon Form.<span> 

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</span>⇒ <span>Rewrite the linear equations above as a matrix 
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\left[\begin{array}{ccc}3&5&42\\6&5&54\\\end{array}\right] 

⇒  Apply to Row₂ : Row₂ - 2 <span>Row₁ 
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\left[\begin{array}{ccc}3&5&42\\0&-5&-30\\\end{array}\right] 

⇒ <span>Simplify rows
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\left[\begin{array}{ccc}3&5&42\\0&1&6\\\end{array}\right] 

Note: The matrix is now in echelon form.
<span>The steps below are for back substitution. 
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\left[\begin{array}{ccc}3&0&12\\0&1&6\\\end{array}\right] 

⇒ <span>Simplify rows 
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\left[\begin{array}{ccc}1&0&4\\0&1&6\\\end{array}\right] 

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x=4&#10;&#10;y = 6
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Step-by-step explanation:

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Read 2 more answers
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