Answer:
- a rotation, followed by a translation
- a translation, followed by two reflections
Step-by-step explanation:
The rigid motions are the transformations that produce congruent images.
There are three main kinds of rigid motions :
- Reflections : Flips a figure across a line of reflection.
- Rotations : Rotates a figure about some degrees around a center point.
- Translations : Moves figure on a plane about some distance in a certain direction.
But dilation is not a rigid transformation because it may change the size of the image. It is usually used to shrink or enlarge a shape.
So, the options having dilation and term "stretch" cannot produce congruent figures.
Hence, the correct options are :
- a rotation, followed by a translation
- a translation, followed by two reflections
First off.. we need to get the units the same. All in hours,
or all in minutes. 36 minutes = 36/60 hours = 3/5 hours = 0.6 hours.
12 minutes = 12/60 hours = 1/5 hours = 0.2 hours
Set up a proportion:
0.2 is to 0.6 as x is to 22.5
x/22.5 = 0.2/0.6
x = 0.2(22.5)/0.6
x = 7.5 hours
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<span>9x-7=-7
You would add 7 to both sides because you want to get to the point were your variable is alone. 9x = 0 Then you would dicide each side by 9 because after doing this your variable would be alone. x = 0 would be your final answer.
YA BOIIIIIIIIIII, DEADPOOL IN THE HOUSE!
-Gives you a thumbs up- </span>
X= number of dimes
x+6= number of quarters
5(x+6)= number of nickels
$5.40= 540 cents
Add the number of each coin and set it equal to the total in cents.
x + (x + 6) + 5(x + 6)= $5.40
multiply 5 by parentheses; change dollar total to cents
x + (x + 6) + (5 * x) + (5 * 6)= 540
x + (x + 6) + 5x + 30= 540
combine like terms
7x + 36= 540
subtract 36 from both sides
7x= 504
divide both sides by 7
x= 72 dimes
x + 6= 78 quarters
5(x + 6)= 390 nickels
CHECK
72 + 78 + 390= 540
540= 540
ANSWER: There are 72 dimes, 78 quarters and 390 nickels.
Hope this helps! :)
