Answer: it is the median
Step-by-step explanation:
Answer:
Answer options
A. Two cities that are 7.5 cm apart on the map are actually 50 km apart.
D. Two cities that are actually 66 km apart are 9.9 cm apart on the map.
Step-by-step explanation:
Step 1
Indicate the scale as shown;
3 cm : 20 km, meaning 3 cm on the map represents 20 km on the ground
A). what does 7.5 cm represent on the ground
Distance on ground=(7.5×20)/3=50 km
B). what does 4 cm represent on the ground
Distance on ground=(4×20)/3=26.67 km
C). what does 45 km on ground represent on the map
Distance on map=(45×3)/20=6.75 cm
D). what does 66 km on ground represent on the map
Distance on the map=(66×3)/20=9.9 cm
Answer:
hay multiplocalo y bxa no se ingles solo español
Greetings!To find the length of any side of a
right triangle, you can use the
Pythagorean Thereom. It states that the squares of two sides are equal to the square of the hypotenuse:
Input the information from the diagram into the formula:
Expand each term:
![(x)^2+(x+7)^2=(13)^2](https://tex.z-dn.net/?f=%28x%29%5E2%2B%28x%2B7%29%5E2%3D%2813%29%5E2)
![x^2+((x+7)(x+7))=169](https://tex.z-dn.net/?f=x%5E2%2B%28%28x%2B7%29%28x%2B7%29%29%3D169)
![x^2+(x(x+7)+7(x+7))=169](https://tex.z-dn.net/?f=x%5E2%2B%28x%28x%2B7%29%2B7%28x%2B7%29%29%3D169)
Combine like terms:
Add -169 to both sides:
![(2x^2+14x+49)+(-169)=(169)+(-169)](https://tex.z-dn.net/?f=%282x%5E2%2B14x%2B49%29%2B%28-169%29%3D%28169%29%2B%28-169%29)
Factor out the Common Term (2):
Factor the Complex Trinomial:
![2(x^2-5x+12x-60)=0](https://tex.z-dn.net/?f=2%28x%5E2-5x%2B12x-60%29%3D0)
![2(x(x-5)+12(x-5))=0](https://tex.z-dn.net/?f=2%28x%28x-5%29%2B12%28x-5%29%29%3D0)
![2(x-5)(x+12)=0](https://tex.z-dn.net/?f=2%28x-5%29%28x%2B12%29%3D0)
Set Factors to equal
0:
![x-5=0](https://tex.z-dn.net/?f=x-5%3D0)
![x=5](https://tex.z-dn.net/?f=x%3D5)
or
![x+12=0](https://tex.z-dn.net/?f=x%2B12%3D0)
![x=-12](https://tex.z-dn.net/?f=x%3D-12)
However, since we are solving for the side length, the only possible answer is 5 (a shape can't have a side with a negative length.)
The Solution Is:
![\boxed{x=5}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%3D5%7D%20)
I hope this helped!
-Benjamin