Step-by-step explanation:
5.
angle STQ is the supplementary angle (together they are 180° below line MQ) to 2x + 8.
above ST we have a group of 3 angles that combine to 180° :
2x + 8
90°
71 - x
so, to get x first :
2x + 8 + 90 + 71 - x = 180
x + 169 = 180
x = 11
so, the angle MTS =
2x + 8 = 2×11 + 8 = 22 + 8 = 30°.
6.
therefore, the angle STQ is
180 - angle MTS = 180 - 30 = 150°.
The appropriate method to use in solving the given question is permutation. Then, the numbers of ways to arrange the buttons is 1320 ways.
In the given question, the order of arrangement is important, so that the number of ways that Fiona could order the buttons can be determined by permutation method.
i.e 
= 
Red 6
Green 3
Yellow 3
Total 12
Since no two neighbouring buttons of the same colour is allowed, then 3 buttons would be arranged at a time.
Thus, n = 12 and r = 3;

= 
= 
= 
= 12 x 11 x 10

= 1320
Therefore the buttons can be arranged in 1320 ways without two neighbors having the same colour.
Visit: brainly.com/question/1408616
Answer:
No, she did not multiply the negative integer tiles by the other negative integer tiles correctly.
Step-by-step explanation:
Answer:
find total of y plug it in with the problem and you should get your answer. im working on it now.
Step-by-step explanation:
its just the form of counting and not necessarily the different number