Here’s a picture of my work. The answer is seven. Hope this helps :-)
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:
Hence the correct answer is option (A) 4.708.
Step-by-step explanation:
Solution:-
Now, we need to find the angle of the sector by using sector formula,
We now convert the angle to radian
Now we calculate the length of arc by arc formula
So, The length of steel that must be replaced is 4.708 ft.
Answer: 9
Step-by-step explanation:
324: 2 2 3 3 3 3
63: 3 3 7
GCF: 3 3
The Greates Common Factor (GCF) is: 3 x 3 = 9