answer:
(5,5).
explanation:
ordered-pair: (8,8) (2,2)
x1 (8), y1 (8). x2 (2), y2 (2)
x: (8+2/2)= 5.
y: (8+2/2)= 5.
midpoint formula:
Answer:
Height of the sail is 15 inches.
Step-by-step explanation:
Given:
Area of the fabric = ![60\ in^2](https://tex.z-dn.net/?f=60%5C%20in%5E2)
Base of the sail = 8 in.
We need to find the height of the sail.
Solution:
Let the height of the sail be 'h'.
Now we know that;
Area of Triangle is given by half time base multiplied by the height.
framing in equation form we get;
![60=\frac12\times8\times h\\\\60=4h](https://tex.z-dn.net/?f=60%3D%5Cfrac12%5Ctimes8%5Ctimes%20h%5C%5C%5C%5C60%3D4h)
Dividing both side by 4 we get;
![\frac{60}{4}=\frac{4h}{4}\\\\h= 15\ in](https://tex.z-dn.net/?f=%5Cfrac%7B60%7D%7B4%7D%3D%5Cfrac%7B4h%7D%7B4%7D%5C%5C%5C%5Ch%3D%2015%5C%20in)
Hence height of the sail is 15 inches.
The total distance is 144
Hope this helps best of luck :)
Answer:
Part 1) ![BC=68\ units](https://tex.z-dn.net/?f=BC%3D68%5C%20units)
Part 2) ![DE=36\ units](https://tex.z-dn.net/?f=DE%3D36%5C%20units)
Part 3) ![CE=34\ units](https://tex.z-dn.net/?f=CE%3D34%5C%20units)
Step-by-step explanation:
we know that
The <u><em>Midpoint Theorem</em></u> states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side
so
Part 1) Find the length of BC
Applying the Midpoint Theorem
![DF=\frac{1}{2}BC](https://tex.z-dn.net/?f=DF%3D%5Cfrac%7B1%7D%7B2%7DBC)
we have
![DF=34\ units](https://tex.z-dn.net/?f=DF%3D34%5C%20units)
substitute the given value
![34=\frac{1}{2}BC](https://tex.z-dn.net/?f=34%3D%5Cfrac%7B1%7D%7B2%7DBC)
solve for BC
![BC=34(2)=68\ units](https://tex.z-dn.net/?f=BC%3D34%282%29%3D68%5C%20units)
Part 2) Find the length of DE
Applying the Midpoint Theorem
![DE=\frac{1}{2}AC](https://tex.z-dn.net/?f=DE%3D%5Cfrac%7B1%7D%7B2%7DAC)
we have
![AC=72\ units](https://tex.z-dn.net/?f=AC%3D72%5C%20units)
substitute the given value
![DE=\frac{1}{2}(72)](https://tex.z-dn.net/?f=DE%3D%5Cfrac%7B1%7D%7B2%7D%2872%29)
![DE=36\ units](https://tex.z-dn.net/?f=DE%3D36%5C%20units)
Part 3) Find the length of CE
we know that
----> by addition segment postulate
The point E is the midpoint segment BC
That means
![CE=BE](https://tex.z-dn.net/?f=CE%3DBE)
so
![BC=2CE](https://tex.z-dn.net/?f=BC%3D2CE)
we have
![BC=68\ units](https://tex.z-dn.net/?f=BC%3D68%5C%20units)
substitute
![68=2CE](https://tex.z-dn.net/?f=68%3D2CE)
solve for CE
![CE=68/2](https://tex.z-dn.net/?f=CE%3D68%2F2)
![CE=34\ units](https://tex.z-dn.net/?f=CE%3D34%5C%20units)