If ray qs bisects angle pqt, measure angle sqt = (8x-25), measure angle pqt= (9x+34), and measure angle sqr=112, find each measure

m∠SQT = 142° ,

m∠PQS = m∠SQT = 71°

m∠TQR = 41°

Step-by-step explanation:

For better understanding of the solution, see the figure which is attached below :

Given : Ray QS bisects the angle PQT

⇒ m∠PQS = m∠SQT

Now, m∠PQT = m∠PQS + m∠SQT

9·x + 34 = 2 × m∠SQT

4.5·x + 17 = 8·x - 25

⇒ 3.5·x = 42

⇒ x = 12

Therefore, m∠SQT = 142° ,

m∠PQS = m∠SQT = 71°

Now, m∠SQR = 112°

⇒ m∠TQR = m∠SQR - m∠SQT

                  = 112° - 71°

                  = 41°

6 spoons of sugar for every 21 cups of flour

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!