A similarity transformation maps polygon ABCD to polygon PQRS. If the length of is 6 and the length of the corresponding side, , is 12, what is the scale factor of dilation
Answers
Answer 1
Answer:
For this case, what we must do is find the scale factor.
We have then that the scale factor is given by:
Where,
L1: side length of polygon ABCD
L2: side length of polygon PQRS
Note: both sides belong to the same side of each polygon
Substituting the values we have:
Rewriting we have:
Answer:
The scale factor of dilation is given by:
We have then that the scale factor is given by:
Where,
L1: side length of polygon ABCD
L2: side length of polygon PQRS
Note: both sides belong to the same side of each polygon
Substituting the values we have:
Rewriting we have:
Answer:
The scale factor of dilation is given by:
Answer 2
Answer:
= 
from the larger polygon to smaller one
= 2, from the smaller polygon to the larger one.
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Answers
In trigonometry laws, there's a equation to solve this problem :
sin (a-b) = sin(a) . cos(b) - sin (b) . cos(a),
so by assuming that a = π, b = θ, so the equation will be like this..
sin (π-θ) = sin(π) . cos(θ) - sin (θ) . cos(π),
= 0 . cos(θ) - sin(θ) . (-1)
= sin(θ) = 0.57
Hope this will help you :)
sin (a-b) = sin(a) . cos(b) - sin (b) . cos(a),
so by assuming that a = π, b = θ, so the equation will be like this..
sin (π-θ) = sin(π) . cos(θ) - sin (θ) . cos(π),
= 0 . cos(θ) - sin(θ) . (-1)
= sin(θ) = 0.57
Hope this will help you :)
Answers
-2 2/3 * 6/7
First, we can start out by turning 2 2/3 into an improper fraction. To do this, we will have to use the improper fraction rule which is: a b/c = ac+b/c. Let's use that rule to create our improper fraction.
Second, let's simplify the numerator. We can begin with 2 × 3 (equals 6). We can then move onto 6 + 2 (equals 8).
Third, our next step will be to apply another rule to our problem. This is our last rule, don't worry. If you have never learned these rules, you could always look them up and see what they are for. Basically, we need the rules to get the correct answer. The rule for this step is: a/b × c/d = ac/bd. Let's continue to use that for our problem.
Fourth, let's simplify the numerator and denominator. 8 × 6 (equals 48) and then 3 × 7 (equals 21).
Fifth, we can simplify our fraction now down to lower terms. To do this, we have to find the greatest common factor (GCF) of both the numerator and denominator.
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 21: 1, 3, 7, 21
The common factors between the two numbers are 1 and 3. Since 3 is the greatest, it is considered the GCF.
Sixth, our next step to simplifying the fraction is to divide the numerator (48) and the denominator (21) by the greatest common factor we just found which was 3.
Our new fraction is now -16/7.
Seventh, we now have to convert the fraction we recently found to a mixed fraction. 16 ÷ 7 = 2 with a remainder of 2. One of those 2's will be the whole number and the second will be our new numerator. After doing this, we will have our answer.
Answer in fraction form:
Answer in decimal form:
First, we can start out by turning 2 2/3 into an improper fraction. To do this, we will have to use the improper fraction rule which is: a b/c = ac+b/c. Let's use that rule to create our improper fraction.
Second, let's simplify the numerator. We can begin with 2 × 3 (equals 6). We can then move onto 6 + 2 (equals 8).
Third, our next step will be to apply another rule to our problem. This is our last rule, don't worry. If you have never learned these rules, you could always look them up and see what they are for. Basically, we need the rules to get the correct answer. The rule for this step is: a/b × c/d = ac/bd. Let's continue to use that for our problem.
Fourth, let's simplify the numerator and denominator. 8 × 6 (equals 48) and then 3 × 7 (equals 21).
Fifth, we can simplify our fraction now down to lower terms. To do this, we have to find the greatest common factor (GCF) of both the numerator and denominator.
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 21: 1, 3, 7, 21
The common factors between the two numbers are 1 and 3. Since 3 is the greatest, it is considered the GCF.
Sixth, our next step to simplifying the fraction is to divide the numerator (48) and the denominator (21) by the greatest common factor we just found which was 3.
Our new fraction is now -16/7.
Seventh, we now have to convert the fraction we recently found to a mixed fraction. 16 ÷ 7 = 2 with a remainder of 2. One of those 2's will be the whole number and the second will be our new numerator. After doing this, we will have our answer.
Answer in fraction form:
Answer in decimal form:
Answers
Answer:
D
Step-by-step explanation:
Let's solve your equation step-by-step.
x2+4=3x+8
Step 1: Subtract 3x+8 from both sides.
x2+4−(3x+8)=3x+8−(3x+8)
x2−3x−4=0
Step 2: Factor left side of equation.
(x+1)(x−4)=0
Step 3: Set factors equal to 0.
x+1=0 or x−4=0
x=−1 or x=4
Answer:
x=−1 or x=4
Answers
The equation for this would be:
=10.
X is equal to 2.
X is equal to 2.
The answer it 2
two 5's equal 10 (5+5)
two 5's equal 10 (5+5)
Answers
Hello,
It seems that multiplication tables were invented by Pythogore .
Later in the middle ages , a abacus has been invented by a guy who where living near my house : Gerbert d'Aurillac who became pape (Sylvestre 2 ,945-1003).
It seems that multiplication tables were invented by Pythogore .
Later in the middle ages , a abacus has been invented by a guy who where living near my house : Gerbert d'Aurillac who became pape (Sylvestre 2 ,945-1003).
Answers
To reduce fractions, simply divide both the numerator and the denominator by the GCD of the numerator and the denominator.
For example, to reduce 18/42, you divide the numerator and denominator by 6, since 6 is the GCD of 18 and 42, to get 3/7. However, a fraction such as 7/17 is already reduced entirely, because the GCD of 7 and 17 is 1.
Hope I helped! Feel free to respond to my answer if anything is unclear.
For example, to reduce 18/42, you divide the numerator and denominator by 6, since 6 is the GCD of 18 and 42, to get 3/7. However, a fraction such as 7/17 is already reduced entirely, because the GCD of 7 and 17 is 1.
Hope I helped! Feel free to respond to my answer if anything is unclear.
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