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zlopas [31]
3 years ago
12

Solve for x and y (use elimination or substitution). Show work.

Mathematics
2 answers:
Olenka [21]3 years ago
8 0
Yap this is the answer

mihalych1998 [28]3 years ago
5 0

7x+3y-1 = 10x -7y+9   as vertical angles

7x+3y-1 + x = 180  as supplementary angles

So, we have system of equations:

7x+3y-1 = 10x -7y+9 (1)

7x+3y-1 + x = 180     (2)

1) Simplify equation  (1)

7x+3y-1 = 10x -7y+9   -----> -3x +10y =10

2) Simplify equation (2)

7x+3y-1 + x = 180   -----> 8x +3y = 181

3)    

(-3x +10y =10)*8    ------> -24x+80y =80

( 8x +3y = 181)*3     ---------> 24x + 9y = 543

4)

 -24x+80y =80

+<u>24x + 9y = 543</u>

         89y = 623

             y = 7

5) -3x +10y =10

-3x + 10*7 =10

-3x +70 =10

-3x = -60

x=20

Answer : x=20, y = 7




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Mademuasel [1]
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3 years ago
Confusion...help please
kifflom [539]

Given:

In triangle KLM, KL = 123 cm and measure of angle K is 35 degrees.

To find:

The length of the side KM to the nearest tenth of a centimeter.

Solution:

In a right angle triangle,

\cos \theta =\dfrac{Base}{Hypotenuse}

In the given right triangle KLM,

\cos K=\dfrac{KM}{KL}

\cos (35^\circ)=\dfrac{KM}{123}

0.819152=\dfrac{KM}{123}

Multiply both sides by 123.

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8 0
3 years ago
Most ATM’s require a 4-digit code using the digits 0-9 how many 4-digit codes can you use
Zolol [24]

10000 digits can be used for 4 digit A.T.M code.

<u>Solution:</u>

Given that A.T.M required 4 digit codes using the digits 0 to 9.  

Need to determine how many four digit code can be used.

We are assuming that number starting with 0 are also valid ATM codes that means 0789 , 0089 , 0006 and 0000 are also valid A.T.M codes.

Now we have four places to be filled by 0 to 9 that is 10 numbers

Also need to keep in mind that repetition is allowed in this case means if 9 is selected at thousands place than also it is available for hundreds, ones or tens place .  

First digit can be selected in 10 ways that is from 0 to 9.

After selecting first digit, second digit can be selected in 10 ways that is 0 to 9 and same holds true for third and fourth digit.

So number of ways in which four digit number is created = 10 x 10 x 10 x 10 = 10000 ways

Hence 10000 digits can be used for 4 digit A.T.M code.

7 0
3 years ago
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