Two figures are similar if one is the scaled version of the other.
This is always the case for circles, because their geometry is fixed, and you can't modify it in anyway, otherwise it wouldn't be a circle anymore.
To be more precise, you only need two steps to prove that every two circles are similar:
- Translate one of the two circles so that they have the same center
- Scale the inner circle (for example) unit it has the same radius of the outer one. You can obviously shrink the outer one as well
Now the two circles have the same center and the same radius, and thus they are the same. We just proved that any two circles can be reduced to be the same circle using only translations and scaling, which generate similar shapes.
Recapping, we have:
- Start with circle X and radius r
- Translate it so that it has the same center as circle Y. This new circle, say X', is similar to the first one, because you only translated it.
- Scale the radius of circle X' until it becomes
. This new circle, say X'', is similar to X' because you only scaled it
So, we passed from X to X' to X'', and they are all similar to each other, and in the end we have X''=Y, which ends the proof.
You are given the number of bagels sold daily for bakeries A and B and are shown in the table above. Based on the above data, it is better to describe the centers of distribution in terms of the mean than the median. This is because all of the data from bakery A and B have values that are near the average and no data sample have possible outliers. For instance,
bakery A
mean (A) = [<span>53 + 34 + 52 + 40 + 50 + 36 + 48 + 38]/8 = 43.88
Bakery B
mean (B) = [</span>53 + 41 + 47 + 44 + 55 + 40 + 51 + 39]/8 = 46.25
Even if bakery A and B has the 38 and 39 as the lowest data respectively, they are still near the average data.
Answer:
x = 6 ; Rewritten: 2x-3y-12=0 ; y=-4
Step-by-step explanation:
2x-3 multiply 0=12
x=6 ( that's the function)
Rewritten steps: 2x-3y=12 then move constant to the left by adding its opposite to both sides which gives you 2x-3y-12=12-12. After the sum of two opposites equals 0 which is 2x-3y-12=0
Y Intercept :
2x-3y=12 and to find y intercept, sub x = 0 ; to 2 multiply 0 -3y=12 and then you solve for the equation which is your answer.
Given that function H(t) models the height of Pooja's plant (in centimeters) where t is the number of days after she bought it.
Now we have to find about which number type is more appropriate for the domain of h. That means what values can be taken by the variable "t".
Since t is number of days not the hours so t will not use decimal or fraction values. It can use integer values for the number of days.
Since time is counted after she bought the plant then number of days will be positive.
Hence answer for the type of domain can be positive integers or you can say integers greater than or equal to 0.
Answer:
12$
Step-by-step explanation:
1300×0.03=39
31+20=51
51-39=12$
