Answer:
54 cm
Step-by-step explanation:
Perimeter = TZ + TX + RX + RY + SY + SZ
TZ = 5 cm
TX = 13 cm
RY = 9 cm
RX = TX = 13 cm (tangents drawn from and external point)
SY = RY = 9 cm (tangents drawn from and external point)
SZ = TZ = 5 cm (tangents drawn from and external point)
Plug in the values:
Perimeter = 5 + 13 + 13 + 9 + 9 + 5 = 54 cm
Answer: The image is attached.
Step-by-step explanation:
A Dilation is defined as a transformation in which the image and the pre-image have the same shape, but their sizes are different.
When the scale factor is greater than 1, the image obtained after the dilation is greater than the pre-image and it is an "Enlargement".
When the scale factor is is between 0 and 1, the image obtained after the dilation is smaller than the pre-image and it is an "Reduction".
In this case we know that the scale factor is:

Since:

It is an Enlargement.
You can identify that the vertices of the pre-image shown in the figure, are:

So you need to multiply the coordinates of those vertices by 4 in order to get the coordinates of the image;

Now you can draw it (The image is attached).
Percentage increase in the rate of all rail season tickets to London = 4%
Price of the rail ticket from Cambridge to London increased by = 121.60
Let us assume the price before the increase in the fare = x
Then
4% * x = 121.60 dollars
(4/100) * x = 121.60 dollars
x/25 = 121.60 dollars
x = 25 * 121.60 dollars
= 3040 dollars
So the price of the ticket from Cambridge to London before the increase in price was 3040. I hope the procedure is simple enough for you to understand.
You will have 4 groups of 10 and then 6 single toys
Step-by-step explanation:
Let Bridget, Jim and Krutika's shares be 4x, 5x and x respectively.
According to the given information:
4x = x + 39
4x - x = 39
3x = 39
x = 39/3
x = 13
5x = 5*13 = 65
Hence, Jim got 65 sweets.