Method 1: Realize that the desired equation will look exactly the same as the given equation 3x − 4y = 6, except that the constant will be different.
Thus, the equation of the new line is 3(-2) − 4(6) = C, where C comes out to 30.
Then the new line is 3x - 4y = 30.
Answer:
-3.........................
The measure of x in both parts is: 120°
Step-by-step explanation:
Part A:
We can clearly see that the figure in part a has six equal sides. So the given figure is a hexagon.
A hexagon has six equal sides in six equal interior angles.
Sum of interior angles of hexagon is 720°
So,
![Measure\ of\ one\ agnle=\frac{Sum\ of\ interior\ angles}{number\ of\ angles}\\=\frac{720}{6}\\=120](https://tex.z-dn.net/?f=Measure%5C%20of%5C%20one%5C%20agnle%3D%5Cfrac%7BSum%5C%20of%5C%20interior%5C%20angles%7D%7Bnumber%5C%20of%5C%20angles%7D%5C%5C%3D%5Cfrac%7B720%7D%7B6%7D%5C%5C%3D120)
Part B:
The figure is a Dodecagon with 12 sides.
The Dodecagon has 12 equal sides and angles.
The sum of internal angles of Dodecagon is 1440°
So,
![Measure\ of\ one\ angle=\frac{Sum\ of\ angles}{Number\ of\ angles}\\=\frac{1440}{12}\\=120](https://tex.z-dn.net/?f=Measure%5C%20of%5C%20one%5C%20angle%3D%5Cfrac%7BSum%5C%20of%5C%20angles%7D%7BNumber%5C%20of%5C%20angles%7D%5C%5C%3D%5Cfrac%7B1440%7D%7B12%7D%5C%5C%3D120)
The measure of x in both parts is: 120°
Keywords: Polygons, Hexagon
Learn more about polygons at:
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Find the cost for one ticket for the science center.
36.75 ÷ 3 = 12.25
Multiply the product with 12 to get the cost of 12 tickets.
12.25 × 12 = 147
Find the cost of 1 zoo ticket.
51 ÷ 4 = 12.75
Find the cost of 12 tickets by multiplying the product and 12
12.75 × 12 = $153
12 Science Center Tickets cost $147
12 zoo tickets cost $153
The Zoo costs more than the Science Center.
To find out how much more the Zoo costed, subtract 147 from 153.
153 - 147 = 6
The zoo only costs $6 more for 12 students.
So, you're answers are Zoo and $6
Yes, your answer is correct