Which table shows the correct methods used to justify the solution steps? 3 (x minus 5) + 7 x = 65 A 2-column table with 4 rows. Column 1 is labeled Solution step with entries 3 x minus 15 + 7 x = 65, 10 x minus 15 = 65, 10 x = 80, x = 8. Column 2 is labeled Method to Justify with entries division property of equality, combine like terms, distributive property, addition property of equality. A 2-column table with 4 rows. Column 1 is labeled Solution step with entries 3 x minus 15 + 7 x = 65, 10 x minus 15 = 65, 10 x = 80, x = 8. Column 2 is labeled Method to Justify with entries distributive property, combine like terms, addition property of equality, division property of equality. A 2-column table with 4 rows. Column 1 is labeled Solution step with entries 3 x minus 15 + 7 x = 65, 10 x minus 15 = 65, 10 x = 80, x = 8. Column 2 is labeled Method to Justify with entries distributive property, addition property of equality, combine like terms division property of equality. A 2-column table with 4 rows. Column 1 is labeled Solution step with entries 3 x minus 15 + 7 x = 65, 10 x minus 15 = 65, 10 x = 80, x = 8. Column 2 is labeled Method to Justify with entries division property of equality, combine like terms, addition property of equality, distributive property.

The correct option is;

A 2-column table with 4 rows. Column 1 is labeled Solution steps with entries 3·x minus 15 + 7·x = 65, 10·x minus 15 = 65, 10·x = 80, x = 8. Column 2 is labeled Method to Justify with entries distributive property, addition property of equality, combine like terms division property of equality

Step-by-step explanation:

The question is 3·(x - 5) + 7·x = 65

3·x - 3×5 + 7·x = 65

3·x + 7·x  - 3×5 = 65

10·x  - 15 = 65

10·x  = 65 + 15 = 80

x = 80/10 = 8

Therefore, we have;

Solution steps,                                           Method to Justify

3·x - 15 + 7·x = 65,                                      Distributive property

10·x - 15 = 65,                                             Addition property of equality

10·x = 80,                                                    Combine like terms

x = 8,                                                           Division property of equality.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.