The measures of ∠x and ∠y are equal. Which is the value of m?

m = 32

Step-by-step explanation:

We have ∠x = 3(m+2) and ∠y = (5m -58)

As ∠x is equal to ∠y, so that:

3 x (m+2) = 5m -58

=> 3m + 6 = 5m - 58

=> 6 + 58 = 5m - 3m

=> 64 = 2m

=> m = 64/2 = 32

To check if this is true, we check the value of m = 32 in the equation to calculate ∠x and ∠y

With m =32, put it in the equations ∠x = 3(m+2) and ∠y = (5m -58), we would have:

+) ∠x = 3(32+2) = 3 x 34 = 102

+  ∠y = 5 x 32 -58 = 160 -58 = 102

=> ∠x  = ∠y => m =32 is true

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.