The answer is: The first triangle. The reasons are shown below:
1. All the triangles are rigth triangles, because they have an angle of 90°. So, let's calculate the others angles of the first one:
Tan(α)^-1= opposite leg/adjacent leg
Opposite leg=5
Adjacent leg=5√3
Tan(α)^-1= 5/5√3
Tan(α)^-1=30°
2. Let's calculate the other angle:
Tan(α)^-1= opposite leg/adjacent leg
Now, the opposite leg will be 5√3 and the adjacent leg will be 5. Then:
Tan(α)^-1= 5√3/5
Tan(α)^-1=60°
As you can see, the angles of first triangle are: 30°,60° and 90°.
Line Segment WX=4
Line Segment XY=4
Line Segment YZ=4
Line Segment ZW=4
4+4+4+4=16
The perimeter is 16 units.
The answer is 260 have a good day.
I love it when people ask me these questions.
Answer:
Tristan is correct, because he needs to find the possible dimensions for rectangle WXYZ and then divide each dimension by 3.
Step-by-step explanation:
The rectangle ABCD is dilated by a factor of 3 to get the rectangle WXYZ whose area is found to be 72 cm².
Let the dimensions of the dilated rectangle WXYZ are a cm by b cm.
So, ab = 72 ........... (1)
Now, the dimensions of the original rectangle are 3 times lesser than the dimensions of rectangle WXYZ.
So, the area of rectangle ABCD will be 
cm² {from equation (1)}
Therefore, Tristan is correct, because he needs to find the possible dimensions for rectangle WXYZ and then divide each dimension by 3. (Answer)
<h3>
Answer: 1/2 (choice A)</h3>
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Explanation:
The two equations given to us are
Divide the second equation over the first equation and that would lead to b = 6
Notice how the 'a' terms divide to 1 and go away, i.e. cancel out.
The b terms divide to (b^2)/b = b
The right hand side values divide to 18/3 = 6
So that's how we end up with b = 6
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Now if b = 6, then we can say,
ab = 3
a*6 = 3
a = 3/6
a = 1/2
Or we could say
ab^2 = 18
a*6^2 = 18
a*36 = 18
a = 18/36
a = 1/2
