Corresponding measures have the same ratio.
.. (x -1)/4 = (2x +1)/10
.. 5(x -1) = 2(2x +1) . . . . . . multiply by 20
.. 5x -5 = 4x +2 . . . . . . . . eliminate parentheses
.. x = 7 . . . . . . . . . . . . . . . add 5 -4x
x = 7
Answer:
225
Step-by-step explanation:
The sum total of all the angles is 7,740 degrees,
The formula for the interior angle is 180(n - 2) where n is the number of sides in the polygon
Set this equal to 7740
180 (n-2) = 7740
Divide each side by 180
180/180 (n-2) = 7740/180
n-2 =43
Add 2 to each side
n-2+2 = 43+2
n = 45
Each vertex hold 5 people so take n and multiply by 5
45*5 = 225
The Ferris wheel holds 225 people
Answer:
Step-by-step explanation:
Sum of interior angles of a triangle = Exterior angle
m∠VWX + m∠WVX = Exterior angle = 155°
m∠VWX + 86° = 155°
m∠VWX = 69°
Scale Factor = 1:12
It means, for every in in the model, it is equivalent to 12 inches in the real.
Dimensions of the real Car = 132 * 66
So, Dimensions of the model = 132/12 * 66/12 = 11 * 5.5
In short, Your Answer would be: 11 * 5.5 cm
Hope this helps!
Answer:
a) k = 5; (-10, -35)
Step-by-step explanation:
Given:
Co-ordinates:
Pre-Image = (-12,3)
After dilation
Image = (-60,15)
The dilation about the origin can be given as :
Pre-Image
where 
represents the scalar factor.
We can find value of for the given co-ordinates by finding the ratio of 
or 
co-ordinates of the image and pre-image.
For the given co-ordinates.
Pre-Image = (-12,3)
Image = (-60,15)
The value of 
or 
As we get 
for both ratios i.e of and co-ordinates, so we can say the image has been dilated by a factor of 5 about the origin.
To find the image of (-2,-7), after same dilation, we will multiply the co-ordinates with the scalar factor.
Pre-Image
Image
Pre-Image Image
(Answer)
