Given: m angle P equals open parentheses 5 x minus 27 close parentheses degree, m angle Q equals open parentheses 4 x minus 7 close parentheses degree, and m angle R equals open parentheses 3 x plus 10 close parentheses degree. Which side in increment P Q R is the shortest?

Side QR

Step-by-step explanation: The sum of a triangle internal angles is 180°. So to determine the angles, we calculate x:

5x - 27  +4x - 7 + 3x + 10 = 180

12x = 204

x = 17

With x, solve for the angles:

m∠P = 5(17) - 27 = 58

m∠Q = 4(17) - 7 = 61

m∠R = 3(17) + 10 = 61

The relationship between angles and sides in any triangle:

So, the shortest side of PQR is the side opposite to the shortest angle.

The shortest angle is m∠P = 58°. Therefore, the shortest side is QR

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.

here is a big fat