Answer:
x=12
Step-by-step explanation:
1+3x=37
First minus 1 on the left and right hand side.
1-1+3x=37-1
Whenever you move a number to the other side , the sign changes. For example, you need to move 8 to the right side. Then the sign changes from positive to negative -8.
3x=36
Divide by 3 for both sides.
x=12
Check the answer:
1+3(12)=37
37=37
Area is radius *radius * pi
4 cm*4cm * pi
16 pi cm^2
We know that
<span>Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another.
In this problem to prove circle 1 and circle 2 are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another.
</span>we have that
<span>Circle 1 is centered at (4,3) and has a radius of 5 centimeters
</span><span> Circle 2 is centered at (6,-2) and has a radius of 15 centimeters
</span>
step 1
<span>Move the center of the circle 1 onto the center of the circle 2
</span>the transformation has the following rule
(x,y)--------> (x+2,y-5)
so
(4,3)------> (4+2,3-5)-----> (6,-2)
so
center circle 1 is now equal to center circle 2
<span>The circles are now concentric (they have the same center)
</span>
step 2
A dilation is needed to increase the size of circle 1<span> to coincide with circle 2
</span>
scale factor=radius circle 2/radius circle 1-----> 15/5----> 3
radius circle 1 will be=5*scale factor-----> 5*3-----> 15 cm
radius circle 1 is now equal to radius circle 2
A translation, followed by a dilation<span> will map one circle onto the other, thus proving that the circles are similar</span>
Answer:
The area of rug is 48.9 m^2
Step-by-step explanation:
Let's assume radius of rug is r m
we know formula for circumference as
we are given
C=24.8
and then we can solve for r
now, we can use area formula
we can plug r
and we get
So,
The area of rug is 48.9 m^2
Answer:
A. Scalene since all sides have different lengths
E. Right since it has a right angle
