7. what is the value of x

x = 18.5

Step-by-step explanation:

tangent is opposite over adjacent

tan 51 = x/15

solve for x

be sure your calculator is in Degree mode.

x = tan 51 * 15

x ≈ 18.52

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan51° = =

Multiply both sides by 15

15 × tan51° = x, thus

x ≈ 18.52 ( to 2 dec. places )

its 69.420

step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!