Answer:
D
Step-by-step explanation:
The pentagon has 5 interior angles that add up to 360. To find the angle of rotational symmetry, divide 360 by 5 (you get 72). So if you rotated the shape 72 degrees, it will map onto itself. 72 times 2 is 144, and that's rotating the shape 72 degrees twice, so it will stay the same.
We know that<span>
<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.
we have that</span>
<span> Circle 1 is centered at (5,8) and has a
radius of 8 centimeters
Circle 2 is centered at (1,-2) and has a radius of 4 centimeters
</span>
step 1
<span>Move the center of the circle 1 onto the
center of the circle 2
the transformation has the following rule</span>
(x,y)--------> (x-4,y-10)
so
(5,8)------> (5-4,8-10)-----> (1,-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
<span>A dilation is needed to decrease the size of
circle 1 to coincide with circle 2
</span>
scale factor=radius circle 2/radius circle
1-----> 4/8----> 0.5
radius circle 1 will be=8*scale factor-----> 8*0.5-----> 4 cm
radius circle 1 is now equal
to radius circle 2
<span>A
translation, followed by a dilation will map one circle onto the other,
thus proving that the circles are similar
the answer is
</span></span>The circles are similar because you can translate Circle 1 using the transformation rule (x-4,y-10) and then dilate it using a scale factor of (0.5)
C 75.00- 1/3 were cookies which is 150 cookies. 150x0.50=75.00
Turn the percentage into a decimal
30% = 0.3
Multiply.
80 * 0.3 = 24
Best of Luck!
Answer:
kg.
Step-by-step explanation:
Let S be amount of strawberries picked in the afternoon.
We have been given that Sheldon harvest the strawberries and tomatoes in his garden. He picks 1 2/5 kg less strawberries in the morning than in the afternoon and the strawberries picked in morning are 
kg.
To find the amount of strawberries picked by Sheldon in the afternoon we will add and 
:
Upon converting our given mixed fractions into improper fraction we will get,
Now let us have a common denominator.
Therefore, Sheldon picked kg of strawberries in the afternoon.
