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°
200 miles
You just multiply 50 by 4.
:) have a good day !
<h3>
Answer:</h3>
48 1/8
<h3>
Step-by-step explanation:</h3>
As written, it is evaluated as ...
... 47 + 9/8 . . . . . . . . parentheses are evaluated first
... = 47 + 1 1/8 . . . . . . then division
... = 48 1/8 . . . . . . . . then addition
_____
A decent calculator will evaluate this for you according to the order of operations. A Google or Bing search box will do that, too.
Answer:
A. 12.5 miles per hour B. 0.36 hours
Step-by-step explanation:
3.75/.30=12.5 , so divide 3.75 by the time 0.30 hours and you get your miles per hour
next, take 4.5 and divide by the new mph 12.5 from your previous answer.
4.5/12.5=0.36 hours
