Answer:
Polygon Y's area is one ninth (1/9) of Polygon X's area
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
In this problem
Let
z-----> the scale factor
a-----> Polygon Y's area
b----> Polygon X's area
we have
substitute
therefore
Polygon Y's area is one ninth (1/9) of Polygon X's area
When we do the additive inverse property...we want to end up with a 0...so the inverse of 7 is -7 and the inverse of -8 is +8....we now have our new expression
-7 + 8
-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
A transformation is rigid if the original shape remains the same shape and size after the transformation.
Flipping a pancake:
After it is flipped, the pancake should stay the same size and shape, so it is a rigid motion and it is a rotation.
Deflating an air mattress:
Deflating a mattress changes its size, so the transformation is not rigid. This is called a dilation.
Moving a clock's minute hand:
Moving the minute hand does not change the hand's size or shape so the transformation is rigid. This transformation is a combination of a translation and a rotation. The translation is what moves the hand around the center of the clock, and the rotation is what changes the direction of the hand.
Enlarging a photo:
Enlarging a photo changes the photo's size, so this transformation is not rigid. This is called dilation.
Putting a golf ball:
Putting does not change the size or shape of a golf ball, so this transformation is rigid. Putting a golf ball both rotates and moves the ball, so the transformation is rotation and translation.
Looking in a car's rear view mirror:
Assuming the car is moving relative to something behind it(because otherwise there would be no transformation), As things come closer to the back of the car, they would appear larger in the mirror, and as things move away from the back of the car, they would appear smaller in the mirror. Because the size changes when looking at the mirror, this is not a rigid transformation and is called dilation.
Answer:
5) the answer is 2 hours
Step-by-step explanation:
1 hour: 35% is destroyed
35% added 2 times (2 hours) equals 70%
According to the United States Mint, the mass of 1 nickel is 5.000 g.
There are 15 nickles in 75 cents worth of nickels.
15 * 5.000 g = 75.000 g
Answer: 75.000 grams
