The scale factor of RSTU to VWXY is 14:3. What is the scale factor of VWXY to RSTU?
Answers
The scale factor of VWXY to RSTU is 3 : 14.
What is ratio?
Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
The scale factor of RSTU to VWXY is 14 : 3.
To find the scale factor of VWXY to RSTU,
Reverse the ratio,
Scale factor of RSTU to VWXY = 1 / scale factor of RSTU to VWXY
= 1 / 14 : 3
= 3 : 14.
The scale factor of VWXY to RSTU is 3:14.
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If you reverse the order of the naming of the two similar polygons, then you reverse the order of the scale factor.
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Answers
1st vertex:
W': We observe W'(x', y') and W(x, y)
x' = -2
x = 3
so, x plus some value will give the value of x'. We form the equation the following way:
x + Cx = x' (Cx will be the value used to MOVE the x to x' value)
When trying to solve the equation, we put values inside the equation:
3 + Cx = -2
The x coordinate is MOVED by some value Cx to become the x' coordinate (That is how we transform the triangle; by transforming each of its vertices by the same values for x and y coordinates, both respectfully).
Solving the equation, we get:
Cx = -2 - 3
Cx = -5.
The conclusion is: x coordinate is MOVED to the LEFT (because of the minus) by 5 units on axis.
Lets see for which amount y coordinate for this vertex is MOVED:
y'=-1
y=2
We obtain the equation again:
Add to y coordinate value some constant (Cy), to obtain the value of new (transformed coordinate) y'.
y+Cy=y'
2+Cy=-1
Cy=-1-2
Cy=-3
The conclusion is that y coordinate for this vertex is MOVED down on Y axis by 3 units on axis.
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We now observe in same manner the second vertex Y', and we expect to obtain the same constants as we obtained for the previous vertex, because that is the rule for the transformation being done, each vertex should MOVE by same amount of units on X and Y axis respectfully.
Hence, we now observe Y'(x', y') and Y(x, y):
x'=2
x=7
x+Cx=x' (some constant value added to x will produce the new value of x')
7+Cx=2
Cx=2-7
Cx=-5
So, the x coordinate value is MOVED to the left (meaning of minus) by 5 units, and the value of x' coordinate is obtained (transformation).
Next, we have for Y axis coordinates:
y'=0
y=3
y+Cy=y'
3+Cy=0
Cy=0-3
Cy=-3
So the conclusion is that y coordinate value is MOVED down by 3 units on Y axis, and in such way we obtained y' via transformation.
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We do the same approach for the third vertex X':
X'(x',y') and X(x,y)
We have to find coordinates for vertex X'(x',y')
We have coordinates to use, for X(x,y)=X(5,5).
x'=?
y'=?
x=5
y=5
-------
1) x+Cx=x'
5+(-5)=x' (because for previous two vertices we obtained that the constant Cx is for both vertices -5, Cx=-5)
hence, x'=5-5
x'=0
2) y+Cy=y'
5+(-3)=y' (because for previous two vertices we obtained that the constant Cy is for both vertices -3, Cy=-3)
y'=5-3
y'=2
Hence, the third TRANSFORMED vertex X' is with coordinates X'(0,2).
I attached a .png image here, so you could see the transformed triangle in a coordinate system.
Answers
Answers
first we get the numbers less than 2 are (1)
secondly get the numbers greater than 7 are (8,9,10)
total = 4 numbers
The favorable probability is 4 / 10=2 / 5
hope it helps
Answer:
Step-by-step explanation:
There are 10 total outcomes [numbers from 1 to 10]
What are the numbers that are LESS THAN 2 or GREATER THAN 7?
They are 1, 8, 9, and 10.
That's a total of 4 numbers. Also, total numbers is 10. Hence the probability of obtaining numbers that are less than 2 or greater than 7 is:
Simplifying gives us a probability of
Answers
Using scale conversion in mathematics, we set up a proportion based on the blueprint scale of 3/4 in equals 5 ft. Solving this proportion, we find the actual length of the gym is 80 feet.
In mathematics, this problem is about scale conversion.
The blueprint scale in this case is 3/4 in equals 5 ft.
To find out the actual length of the gym, we need to set up a proportion and solve for the missing value.
We know that 3/4 inches represents 5 feet on the actual gym.
According to the blueprint, the length of the gym is 12 inches.
First, let's set up the proportion: 3/4 in: 5 ft = 12 in: x ft.
Now we can cross multiply and solve for 'x'. (3/4) * x = 12 * 5, which simplifies to (3x/4) = 60.
Multiply both sides by 4 to isolate 'x': 3x = 240.
Finally, divide both sides by 3, we get x = 80.
Therefore, the actual length of the gym is 80 feet.
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Answers
Answer:
2
Step-by-step explanation:
Hope this helps
Answers
Thank you for asking your question!
Have more? Just ask!
Answer:
9
Explanation:
18 / 3 = 6 x 2 = 12.
21 - 12 = 9
Hope this helps!
Answer:
3
,
3
,
2
O
,
2
O
2
,
O
9
,
18
Step-by-step explanation: