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: 6 dollars
Step-by-step explanation: since the total price is 54 dollars and we know the price of the wreath, we subtract the wreath from the total, leaving us with 42. Then we do 42 divided by 7 to get the price per ornament(which is too high to be reasonable in any universe), 6 dollars.
The description shows a linear relationship and a proportional relationship.
<h3>How to describe the given relationship?</h3>
The given parameters are:
Charger = $15 per game
Customers are not charged to rent bowling shoes.
The statement "Customers are not charged to rent bowling shoes" means that the linear function has no y-intercept
So, the linear function can be represented as
y = Charges * x
This gives
y = 15x
Linear functions that are proportional functions are represented as y = mx
In this case, y = mx represents y = 15x
Hence, the description shows a linear relationship and a proportional relationship.
Read more about proportional relationship at
brainly.com/question/12242745
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Answer:
Step-by-step explanation:
Write down the slope-intercept form:
Where m is the slope and b is the y-intercept.
To turn the equation into slope-intercept form, isolate y on the left-hand side:
Rearrange the equation a bit:
