Answer:
x = 12
m(QS) = 52°
m(PD) = 152°
Step-by-step explanation:
Recall: Angle formed by two secants outside a circle = ½(the difference of the intercepted arcs)
Thus:
m<R = ½[m(PD) - m(QS)]
50° = ½[(12x + 8) - (4x + 4)] => substitution
Solve for x
Multiply both sides by 2
2*50 = (12x + 8) - (4x + 4)
100 = (12x + 8) - (4x + 4)
100 = 12x + 8 - 4x - 4 (distributive property)
Add like terms
100 = 8x + 4
100 - 4 = 8x
96 = 8x
96/8 = x
12 = x
x = 12
✔️m(QS) = 4x + 4 = 4(12) + 4 = 52°
✔️m(PD) = 12x + 8 = 12(12) + 8 = 152°
Answer:
138 students
Step-by-step explanation:
207/9 = 23
23*6=138
Answer: The number of drinks she bought would be <u><em>6</em></u> and the number of pretzels she bought would be <u><em>10. </em></u>
I think that it is 270. 5400/180 = 30 8100/30 = 270
0.732
0.750
If you have trouble with decimals, then multiply both numbers by a constant number to get rid of the decimals. In this case, we would multiply by 1000.
0.732 x 1000 = 732
0.750 x 1000 = 750
Obviously, 750 is bigger than 732. Therefore, 0.75 is bigger than 7.32.
By the way, this is a property:
If

, then