Answer:
C
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original
scale factor =
=
=
→ C
Answer:
Value of x is 2
Step-by-step explanation:
Given
BD = 6
DA = 4
BE = 
EC = x
Also segment DE is parallel to segment AC
∴ By using Midpoint theorem which states

Putting the given data in above equation we get

Answer:
Step-by-step explanation:
The idea here is to find the area of the circle and then subtract from it the area of the triangle. That will give you the area of what's left in the circle (the shaded part). The area of a circle is:
so
where 12.4 is the radius.
rounded to the nearest tenth. I used 3.14 for pi.
Now for the area of the triangle. The formula is
where h is the height of 12.4 and the base is the diameter which is 12.4 * 2 = 24.8
so

Now subtract the triangle's area from the circle's area:
482.81 - 153.76 = 329.05 mm²
Answer:
(5, -1)
Step-by-step explanation:
x + y = 4
x - y = 6
Add the equations to eliminate y
2x = 10----> x=5
Substitute this value in any equation
5 + y = 4 ----> y = 4-5 ----> y= -1