Answer:
The images of the question are missing, I found a matching question and image online, and it is in the attachments.
Answer:
The scale factor of the triangles from the left to the right is 2
or
The scale factor of the triangles from the right to the left is 1/2
Step-by-step explanation:
From the image, the right triangle on the left has the following dimensions:
Hypotenuse = 10
length of one side = 10
While the right triangle on the right has the following:
Hypotenuse = 20
Length of one side = 20
From the dimensions above it can be seen that the triangle on the right has a dimension of 2 times the triangle on the left:
Left (10) × 2 = right (20)
Therefore the scale factor of the triangles from the left to the right is 2
or
The scale factor of the triangles from the right to the left is 1/2
Answer:
Susan has 8 numbers belonging to just one list.
Step-by-step explanation:
Susan's 3 lists have 10 numbers each = 10 x 3 = 30 numbers
4 numbers appear on all three lists = 4 x 3 = 12 numbers
The remaining numbers after these 12 = 18 (30 -12)
Then, there are 5 numbers on 2 lists only = 5 x 2 = 10 numbers
The numbers on just one list = 18 - 10 = 8 numbers
Or
List 1 List 2 List 3 Total
Numbers on each list 10 10 10 30
Numbers on 3 lists -4 -4 -4 12
Numbers on 2 lists -5 -5 -0 10
Numbers on 1 list only 1 1 6 8
So the equation of a circle is (x - h)² + (y - k)² = r² where (h,k) are the coordinates of the center of the circle and r is the radius. The diameter of a circle is a line that goes from one point of the circle to the other through the center of the circle. Well the center would be midway through the diameter so use midpoint formula to find the center which is (h,k) Mid point formula is both given x's added together divided by 2 for h and both y coordinates added together divided by 2 to find k
(10+0)/2
10/2= 5
(12+2)/2
14/2 = 7
so the center of the circle is (5,7) now use distance formula using the center and one of the points to the radius
√((5-10)²+(7-12)²)
√(-5²+ -5²)
√(25 + 25)
√50 is the radius
Now plug all found information into circle equation
(x-5)² + (y-7)² =50 note the end is 50 because the circle equation is radius squared and since the radius is √50, radius² is 50.
Answer is c