Answer:
Step-by-step explanation:If you choose any 3 of the 7 vertices, you can connect them with lines to create a unique triangle.
So, the question becomes "In how many different ways can we select 3 vertices from 7 vertices?"
Since the order in which we select the 3 vertices does not matter, we can use COMBINATIONS.
We can select 3 vertices from 7 vertices in 7C3 ways.
It is a terminating decimal because it doesn’t repeat Numbers back-and-forth
Answer:
60
Step-by-step explanation:
180÷3=60
if it is unclear or you need more explanation, ask freely.
Line EB is the mid segment of the triangle
EB and DC are parallel if angle EBA is equal to angle DCB
so
4x - 3 = 3x + 9 now solve for x
-3x -3x
x -3 = + 9
-3 -3
x = 12
Now I know x and 3x +9, so sub in for x
3(8) + 9 = 32 + 9 = 41
now we know angle EBA
and angle EBA and angle EBC are a linear pair meaning when I add them together they equal 180
so
angle EBA + angle EBC = 180
41 + 14y - 5 = 180 now solve for y
36 + 14y = 180
-36 -36
14y = 144
/14 /14
y = 10.28
Answer:

Step-by-step explanation:
The area of a square or rectangle can be found by multiplying the width by the height. Since we now both, we can create an expression.

Now we can apply the distributive law/property to expand the expression.

Finally, we can simplify.
