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alexira [117]
3 years ago
10

What is the length of XY?

Mathematics
2 answers:
Yuki888 [10]3 years ago
7 0

Answer:

5268

Step-by-step explanation:

length of tangents from a point to the circle are equal.

XY=XZ

91b-283=85b+83

91b-85b=83+283

6b=366

b=366/6=61

XZ=91b-283

=91×61-283

=5551-283

=5268

kherson [118]3 years ago
6 0

Answer:

D. 5267

Step-by-step explanation:

In the triangle XY and XZ are tangent to circle C. This means that the length has of XY and XZ are congruent.

So first you have to set the equations to each other to find what b equals to.

85b+83=91b-283

Add 283 to both sides

85b+366=91b

Subtract 85b on both sides

366=6b

Divide by 6

B=61.

Then you substitute 61 as b in the equation for XY.

85b+83

85(61)+83

5185+83

5268

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10 minutes before 9 is 8:50. since any time on the hour is at a perfect 60 minutes, you subtract the minutes given and move 1 hour back to find your answer.
for example, if you were asked what 20 minutes before 10 was. you start by subtracting 20 from 60. 60-20= 40, this being your minutes. 10-1 is 9, this being your hour, making the final answer 9:40.
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3 years ago
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How do we find the circumference of any circle?
Vera_Pavlovna [14]

Answer:

C = 3.14... x d

Step-by-step explanation:

To calculate the circumference do pie times the diameter of the circle

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A computer is sold with or without a monitor, with or without a keyboard, with or without a DVD player, and with or without a Zi
balandron [24]
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7 0
2 years ago
What is the value of the x-coordinate of 2x+3y=144;y-x=24
olganol [36]

Answer:

The x-coordinate of the solution of the system is x=14.4

Step-by-step explanation:

<u><em>The question is</em></u>

What is the x-coordinate of the solution of the system of equations?

we have

2x+3y=144 ----> equation A

y-x=24 ---> isolate the variable y

y=x+24 ----> equation B

Solve the system by substitution

substitute equation B in equation A

2x+3(x+24)=144

solve for x

Apply distributive property

2x+3x+72=144

Combine like terms left side

5x+72=144

subtract 72 both sides

5x=144-72

5x=72

Divide by 5 both sides

x=14.4

therefore

The x-coordinate of the solution of the system is x=14.4

3 0
4 years ago
What number should be added to both sides of the equation to complete the square?<br> x2 - 6x = 5
ikadub [295]

Answer:

First of all, it is better to note that x2 is not equal to x² .In mathematics x2 is equal to 2nd x or 2x i.e. 2 times x=2*x=x*2.

I don't know what this question means ! But if it means to just confine x2 and -6x in a square or to make them part of a square then it could be done as follows.

Assume x2 as x² as per your needs as case may be.

Now use the identity

(a² - 2a×b + b²) =(a - b )²

Here , in LHS

a appears twice as in a² and in 2a×b.

So for given expression (x2 – 6x = 5) or (x² – 6x = 5) or (x² - 6x -5 =0)

Assume x=a

Then,

6x =2*x*3 =2*a*b

=> 3 = b

Thus

(x² - 6x -5 =0)

=> x² - 2*x*3 + 3² -3² -5 =0

=> ( x² - 2*x*3 + 3² ) - 3² -5 =0

=> (x - 3)² - 3² = 5

=> (x - 3)² = 5 + 3²

=> (x - 3)² = 5 + 9 = 14 = ( ±√(14) )²

Now comparing

(x² – 6x = 5) and (x - 3)² = 5 + 9,

it can be said that number 9 should be added to both sides of (x² – 6x = 5) or (x² – 6x) = ( 5 ) to make ( x² ) and (-6x ) as the constituting parts of the square (x-3)² .

I hope it helps.

Thank you  for patiently reading it.

6 0
3 years ago
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