Since only the lengths increase by scale factor, B'C' on the same line as its corresponding side segment BC .
<u>What is the Dilation?</u>
Math definition of dilation Resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ.
The following are the properties of dilation of the triangle:
1)measures of the angles will not change
2)The sides of the image of the triangle are multiplied by the scale factor 2.
So,
A'B'=2AB
B'C'=2BC
A'C'=2AC
Since only the lengths increase by scale factor, B'C' on the same line as its corresponding side segment BC .
To learn more about the Dilation from the given link
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Answer:
b = 5
Step-by-step explanation:
if parallelogram is a rectangle, then the two diagonals has the same length
10/12 x(24/5 x b - 36/5) = 2/3 x (3b + 6)
4b - 6 = 2b + 4
2b = 10
b = 5
There are 365 days in one year. So to find the amount of days in two years, we do 365*2 to get 730 days
Hope this helps!
Answer:
Jimmy's account balance will be $673.43 after 10 years.
Step-by-step explanation:
The compound interest formula is given by:

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.
In this problem, we have that:

What will Jimmy’s account balance be after 10 years if the interest is compounded 2 times each year?


Jimmy's account balance will be $673.43 after 10 years.
Answer:
Therefore,

Step-by-step explanation:
Given:
0° < θ < 360°
tan θ = 3.5134
To Find:
θ in degrees = ?
Solution:
0° < θ < 360° .............Given
Means ' θ ' is between 0° and 360°
.............Given
Therefore,

Also,

So ' θ ' will have Two values for tan θ =3.5134

Therefore,
