Answer:
x=23°; θ=87°
Step-by-step explanation:
These two angles create what is known as supplementary angles, or 2 angles that add up to 180°. We know this because all horizontal lines are 180° on either side. Since we know the total value of these two angles should equate to 180°, we can set up a simple equation:

Now, using algebra, we can solve for x:



Plugging x back into the equation, we get:

Therefore, the total angle is equal to 87° and x is equal to 23°.
Hope this helps!
Answer:
A. y=-5/3x+1
Step-by-step explanation:
We have a ratio of 3 hours / 7.5 miles
We want to know how many miles he can walk in 1 hour so, divide both sides by 3 -> 1 hour / 2.5 miles
He is walking at 2.5 mph
Answer: Option B is the cheaper deal (the 12 batteries for $14.76)
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Explanation:
For the first deal we can say
3 batteries = 4.80 dollars
3/3 batteries = 4.80/3 dollars .... divide both sides by 3
1 battery = 1.60 dollars
The unit price for the first deal is $1.60 per battery.
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For the second deal we could say
12 batteries = 14.76 dollars
12/12 batteries = 14.76/12 dollars .... divide both sides by 12
1 battery = 1.23 dollars
The unit price for the first deal is $1.23 per battery.
This is the cheaper deal.
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So in short, you're dividing the total cost over the number of items to get the unit price.
Answer: 251.2 inches.
Step-by-step explanation: You have to multiply 4*2*π*radius. So, simply multiply 4*2*3.14*10. It would come out as 251.2 inches.