Is (6,7) a solution to the inequality 15x+11y> 12

(6,7) is a solution

Step-by-step explanation:

To determine if (6,7) is a solution, we substitute the point in and see if the inequality is true

15x+11y>12

15(6) + 11(7) >12

90+77 > 12

167>12

This is true so (6,7) is a solution

The point (6,7) means that x = 6 and y = 7 pair up together. Let's plug them into the inequality.

15*x + 11*y > 12

15*6 + 11*7 > 12 ... replace x with 6, y with 7

90 + 77 > 12

167 > 12 ... this inequality is true since 167 is larger than 12

Because the last inequality is true, this means the first inequality is true when (x,y) = (6,7).

Therefore, (6,7) is a solution to the inequality.

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.