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tatuchka [14]
3 years ago
12

which postulate or theorem can be used to show that all 3 center triangles in the Antigua and Barbuda flag are similar? A. ASA s

imilarity theorem B. SSS similarity theorem C. SAS similarity theorem D. AA similarity postulate
Mathematics
2 answers:
Damm [24]3 years ago
7 0
A. ASA similarity theorem
B. SSS similarity theorem 
gladu [14]3 years ago
4 0

Answer:

B. SSS similarity theorem

Step-by-step explanation:

The answer is SSS similarity theorem or the side side side theorem (If the lengths of the corresponding sides of two triangles are proportional, then the triangles must be similar.)

So, the postulate or theorem that can be used to show that all 3 center triangles in the Antigua and Barbuda flag are similar is SSS similarity theorem.

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In a dilation with a scale factor of 3/4 , the image is ___________ the pre image
adelina 88 [10]
 A is the correct choice
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3 years ago
A farmer wants to fence a rectangular area of 72 square feet next to a river. Find the length and width of the rectangle which u
Arlecino [84]

Answer:

  • 12 ft parallel to the river
  • 6 ft perpendicular to the river

Step-by-step explanation:

The least fence is used when half the total fence is parallel to the river. That is, the shape of the rectangle is twice as long as it is wide.

72 = W(2W)

36 = W²

6 = W . . . . . . the width perpendicular to the river

12 = 2W . . . .  the length parallel to the river

_____

<em>Development of this relation</em>

Let T represent the total length of the fence for some area A. Then if x is the length along the river, the width is y=(T-x)/2, and the area is ...

  A = xy = x(T -x)/2

Note that the equation for area is that of a parabola with zeros at x=0 and at x=T. That is, for some fence length T, the area will be a maximum at the vertex of this parabola. That vertex is located halfway between the zeros, at ...

 x = (0 +T)/2 = T/2

The corresponding area width (y) is ...

  y = (T -T/2)/2 = T/4

Equivalently, the fence length T will be a minimum for some area A when x=T/2 and y=T/4. This is the result we used above.

8 0
3 years ago
Write an equation for the graph shown
Dimas [21]
It is number 3. Have a good day.
3 0
3 years ago
What is the value of a° in the figure shown below?
VMariaS [17]
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3 0
3 years ago
Which trigonometric function has a range that does not include 0.4?
Montano1993 [528]
<h2>Hello!</h2>

The answer is: y=cscx

<h2>Why?</h2>

Domain and range of trigonometric functions are already calculated, so let's discard one by one in order to find the correct answer.

The range is where the function can exist in the vertical axis when we assign values to the variable.

First:

y=cosx: Incorrect, it does include 0.4 since the cosine range goes from -1 to 1 (-1 ≤ y ≤ 1)

Second:

y=cotx: Incorrect, it also does include 0.4 since the cotangent range goes from is all the real numbers.

Third:

y=cscx: Correct, the cosecant function is all the real numbers without the numbers included between -1 and 1 (y≤-1 or y≥1).

Fourth:

y=sinx : Incorrect, the sine function range is equal to the cosine function range (-1 ≤ y ≤ 1).

I attached a pic of the csc function graphic where you can verify the answer!

Have a nice day!

8 0
3 years ago
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