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°
Well, you need write the system of equation:
If we call "P" to quantity of pencils and we call "N" to quantity of notebooks, the total quantity of articles in an equation is:
P+N=19
And the total money that Joanna spent in an equation is:
$1.46*P+$2.41*N=$32.49
Now you only need to solve that system.
Good luck!
M.
-1 plus 5 is 4 so the answer is a
Answer:
feet, or 14.14 feet
Step-by-step explanation:
Use the arc length formula:
s = rθ
To use the formula, we have to convert the central angle to radians.
90° is equivalent to 
radians, so plug this and the radius into the formula:
s = rθ
s = (9)()
s =
So, the length of the arc is 
feet, or approximately 14.14 feet
Answer: 4 is the scaling increment
Step-by-step explanation:
12/3 = 4
8/2 = 4
