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°

blue marble is 15 times out of 50 = 15/50 reduces to 3/10

landing on tails is 24 out of 50 = 24/50 reduces to 12/25

to find the probability of both multiply together:

3/10 x 12/25 = 3 x 12 / 10 x 25 = 36/250

if you multiplied the numerator and denominator by 10 you get 360/2500.

the answer is 360/2500

step-by-step explanation:

f