Answer:
The equation representing the Total number of points is
.
Step-by-step explanation:
Given:
Total Point scored = 102
Let Number of basket scored be 'x'
Let Number of free throws be 'y'
Total Point Scored will be equal to sum of Number of basket scored multiplied by point scored in basket and Number of Free throws multiplied by point scored in free throws.
Framing the equation we get;

Hence The equation representing the Total number of points is
.
<span>A rancher wants to create two rectangular pens, as shown in the attached figure
Let the side parallel to the </span><span>existing fence line = y
And the sides which is perpendicular to </span><span>existing fence line = x
</span><span>The pens need to have a total area of 972 square feet
</span>∴ x y = 972
∴ y = 972/x
Let the length of needed fence = L
∴ L = y + 3x
substituting with the value of y
∴

differentiating the length with respect to x and equating with zero
∴

solve for x
∴ x = 18
substituting to find y
∴ y = 54
<span>The dimensions should be used to minimize the amount of fence used
is 18 , 54 feet </span>
Polygons's interiro angles make a total of (n-2)*180 degree, n being the number of sides.
in this case, n=6
(6-2)*180=117+124+102+145+107+x
x=125