Answer:
75°
Step-by-step explanation:
In triangle FBG, one angle is 36. That means the other two must total 180-36=144. Assigning each one 72, their supplementary angle on the interior of the pentagon would be 108.
In triangle JDI, one angle is 39. That means the other two must total 180-39=141. Assigning each one 70.5, their supplementary angle on the interior of the pentagon would be 109.5
We now have 4 of the interior angles. Pentagons have an interior total of 540. 540-108-108-109.5-109.5=105
x is the supplement of 105. 180-105=75
The statement which describes correctly the graph of g(x) is " It is the graph of f(x) reflected about the x-axis and shrunk horizontally by a factor of 10 " ⇒ answer C
Step-by-step explanation:
Let us revise some transformation
A vertical stretching is the stretching of the graph away from the x-axis
A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis.
- If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched by multiplying each of its y-coordinates by k.
- If 0 < k < 1 (a fraction), the graph of y = k•f(x) is the graph of f(x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k
- f k should be negative, the vertical stretch or shrink is followed by a reflection across the x-axis.
A horizontal stretching is the stretching of the graph away from the y-axis
A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis.
- If k > 1, the graph of y = f(k•x) is the graph of f(x) horizontally shrunk (or compressed) by dividing each of its x-coordinates by k.
- If 0 < k < 1 (a fraction), the graph of y = f(k•x) is the graph of f(x) horizontally stretched by dividing each of its x-coordinates by k
- If k should be negative, the horizontal stretch or shrink is followed by a reflection across the y-axis.
∵ f(x) = x
∵ g(x) = f(-10x)
- Substitute x by -10x
∴ g(x) = -10x
∵ x is changed to 10x
- x multiplied by a number means shrink or stretch horizontally
∵ k = 10
∵ 10 > 1
∴ The graph of f(x) is shrunk horizontally by a factor of 10
∵ The value of g(x) is negative
- The negative sign of g(x) means reflection across x-axis
∴ The graph of f(x) is reflected about the x-axis
The statement which describes correctly the graph of g(x) is " It is the graph of f(x) reflected about the x-axis and shrunk horizontally by a factor of 10 "
Learn more:
You can learn more about reflection in brainly.com/question/5017530
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I think its <span>B. For every 3 squares there are 5 triangles.</span>
Answer:
Therefore the dimensions of the rectangular garden are 23.42 ft by 20.5 ft.
Step-by-step explanation:
Given that,
A rectangular garden of area 480 square feet.
Let length of the rectangular garden be x which is surrounded by fence and width of the rectangular garden be y.
Then xy is the area of the given rectangular garden .
Then,
xy= 480
The length of the tree sides which are surrounded by brick wall is = 2y+x.
The cost for the brick wall is =Length×cost per feet= $12(2y+x)
The cost for the fencing is =Length×cost per feet= $ 9x
Now putting 
Differentiating with respect to x
Again differentiating with respect to x
Now we set C'=0
.
Since at x=23.42,C''>0. So at x=23.42, the total cost will be minimum.
The width of the rectangular garden is
Therefore the dimensions of the rectangular garden are 23.42 ft by 20.5 ft.
The cost of the material is 
=$983.70
