Answer: ∠B=70°
Step-by-step explanation:
It is shown in the diagram that ∠A and ∠B is vertical angles.
- Vertical angle theorem: opposite angles are congruent.
<u>Solve:</u>
∠A=∠B
8x+6=4x+38
4x=32
x=8
<h2>∠B=4x+38=4(8)+38=32+38=70°</h2>
Y = 5/4x + 2
y - (-3) = 5/4 ( x - (-4))
1. Distribute 5/4
y + 3 = 5/4x + 5
2. Subtract three to collect like terms
y = 5/4x + 2
Answer:
$49.82
Step-by-step explanation:
To find the cost of the watch with tax, multiply the price by 1.095:
45.5(1.095)
= 49.8225
Round to the nearest hundredth:
= 49.82
So, the final cost is approximately $49.82
Answer:
D
Step-by-step explanation:
If you look at the right side of each piecewise function, you will see the x-values. That is what we will be focusing on in this explanation. All four equations have x <u>></u> 4, and we know that to be true. If you look at the equation on the graph going South West, you will see that the endpoint is at x=1. Only 1 equation, D, has this in the piecewise function. To confirm it is D, you can see that 1<x<4 is also in the piecewise function, and all the values line up with their corresponding y-values.
Hope this helps! :)
Answer:
80,00
Step-by-step explanation:
According to my research, the formula for the Area of a rectangle is the following,

Where
- A is the Area
- L is the length
- W is the width
Since the building wall is acting as one side length of the rectangle. We are left with 1 length and 2 width sides. To maximize the Area of the parking lot we will need to equally divide the 800 ft of fencing between the <u>Length and Width.</u>
800 / 2 = 400ft
So We have 400 ft for the length and 400 ft for the width. Since the width has 2 sides we need to divide 60 by 2.
400/2 = 200 ft
Now we can calculate the maximum Area using the values above.


So the Maximum area we are able to create with 800 ft of fencing is 80,00
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