Answer:
The 39th triangle number is 780
Step 
<u>Find the irreducible fraction in each ratio</u>
<u>case 1)</u> 
Divide by
boths numerator and denominator

<u>case 2)</u> 
Divide by
boths numerator and denominator

<u>case 3)</u> 
Divide by
boths numerator and denominator

<u>case 4)</u> 
Divide by
boths numerator and denominator

<u>case 5)</u> 
Divide by
boths numerator and denominator

<u>case 6)</u> 
Divide by
boths numerator and denominator

<u>case 7)</u> 
Divide by
boths numerator and denominator

<u>case 8)</u> 
Divide by
boths numerator and denominator

<u>case 9)</u> 
Divide by
boths numerator and denominator

<u>case 10)</u> 
Divide by
boths numerator and denominator

<u>case 11)</u> 
Divide by
boths numerator and denominator

<u>case 12)</u> 
Divide by
boths numerator and denominator

Step 
<u>Sort the ratios into bins</u>
1<u>) First Bin</u>
<u>
</u>



<u>2) Second Bin </u>
<u>
</u>


<u>3) Third Bin</u>



4<u>) Fourth Bin</u>
<u>
</u>




Answer:
Hello!
1 on the left in vertical and 1 on the right is adjacent hope that helps.
Answer:
7 x - y = 48 is the required line equation.
Step-by-step explanation:
Here,the two given points are A(6,-6) and B(8,8).
Now, the slope of the line with points (x1,y1) and (x2,y2) is given as:

So, here the slope of the given line is 
or , m = 7
Now, by POINT SLOPE FORMULA:
The equation of a line with point (x0,y0) and slope m is given as:
(y- y0) = m (x -x0)
⇒ Here, the equation of line with (8,8) is y - 8 = 7 (x -8)
or, y - 8 = 7 x - 56
or, 7 x - y = 48 is the required line equation.