Answer:- D shows the triangle pairs which can be mapped to each other using a single translation.
Explanation:-
Translation is a rigid transformation which creates a congruent image as that of the original figure such that the distance between the each point of the original figure and the image is fixed and same.
The translation mapping is given by (x,y)→(x+h,y+k) ,where h is the distance of the x coordinate of the each point of the original figure to the image and k is the distance of the y coordinate of the each point of the original figure to the image.
In figure D we can see that the distance between each point of ΔCED is equal to the distance between each point of ΔMPN. Thus it shows the triangle pairs which can be mapped to each other using a single translation.
There are 8.25 cups and quarts in two gallons
For the answer to the question above,
<span>Let x = the length of the first piece </span>
<span>Then 3x = length of the second piece </span>
<span>And 5x + 2 = length of the third piece </span>
<span>Now, add all three of these together and set equal to 47: </span>
<span>x + 3x + (5x + 2) = 47 </span>
<span>Now combine all the like terms and solve for x. Then use that value to find the length of the third piece.</span>
Answer: 25 percent of the jar is filled with orange candies
Step-by-step explanation:
In the jar, there are 3 yellow candies, 3 blue candies, and 2 orange candies. This means that the total number of candies inside the jar would be the sum of the yellow, blue and orange candies. It becomes
3 + 3 + 2 = 8 candies.
The percent of the jar filled with orange candies would be expressed as
number of orange candies/total number of candies × 100
It becomes
2/8 × 100 = 25%
First four terms would be n = 1, 2, 3, 4
f(1) = 3 ( 1 )( 1 + 3 )
= 3 * 4
=12
f(2) = 3 ( 2 )( 2 + 3 )
= 6 * 5
= 30
f(3) = 3 ( 3 )( 3 + 3 )
= 9 * 6
= 54
f(4) = 3 ( 4 )( 4 + 3 )
= 12 * 7
= 84 hope this helps!
