- (2x-20)°+(x+65)°=180°
- 2x-20+x+65=180
- 3x+45=180
- 3x=180-45
- 3x=135
- x=135/3
- x=45°
PLEASE MATH HELP WILL GIVE BRAINLIEST
2 answers:
Answer: SF = -3
Step-by-step explanation:
Looking at the figure and its image, three things are immediately obvious.....
The image is bigger
The image is inverted.
The figure and the image have a common point.
The common point is the center of dilation. (-4, -4)
The fact that it lies BETWEEN the image and the figure means that the SF is a negative number.
This accounts for the fact that the image is inverted.
To find the Scale Factor divide
Looking at the horizontal lines we see..
= -
= -3
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Answer:
Therefore the length and width of the playground are 15.5 feet and 12.9 feet respectively.
Step-by-step explanation:
Given that, a homeowner plans to enclose a 200 square foot rectangle playground.
Let the width of the playground be y and the length of the playground be x which is the side along the boundary.
The perimeter of the playground is = 2(length +width)
=2(x+y) foot
The material costs $1 per foot.
Therefore total cost to give boundary of the play ground
=$[ 2(x+y)×1]
=$[2(x+y)]
But the neighbor will play one third of the side x foot.
So the neighbor will play
Now homeowner's total cost for the material is
where C(x) is total cost of material in $.
Given that the area of the playground is 200.
We know that,
The area of a rectangle is =length×width
=xy square foot
∴xy=200
Putting the value of y in C(x)
The domain of C is.
Differentiating with respect to x
Again differentiating with respect to x
To find the critical point set C'(x)=0
Therefore
Therefore at x= 15.5 , C(x) is minimum.
Putting the value of x in we get
=12.9
Therefore the length and width of the playground are 15.5 feet and 12.9 feet respectively.