Answer:
1 solution; (1,4)
Step-by-step explanation:
Whenever two lines intersect, their solution is the point that the two share in common. Here, it's (1,4), so that is the answer.
Answer:
![x=30\ degrees](https://tex.z-dn.net/?f=x%3D30%5C%20degrees)
![m](https://tex.z-dn.net/?f=m%3CA%3D25%5C%C2%B0)
![m](https://tex.z-dn.net/?f=m%3CB%3D120%5C%C2%B0)
Step-by-step explanation:
we know that
The sum of interior angles in a triangle must be equal to 180 degrees
so
![(x-5)+(3x+30)+(35)=180\°](https://tex.z-dn.net/?f=%28x-5%29%2B%283x%2B30%29%2B%2835%29%3D180%5C%C2%B0)
solve for x
![4x=180\°-60\°](https://tex.z-dn.net/?f=4x%3D180%5C%C2%B0-60%5C%C2%B0)
![4x=120\°](https://tex.z-dn.net/?f=4x%3D120%5C%C2%B0)
![x=30\°](https://tex.z-dn.net/?f=x%3D30%5C%C2%B0)
![m](https://tex.z-dn.net/?f=m%3CA%3Dx-5%3D30%5C%C2%B0-5%5C%C2%B0%3D25%5C%C2%B0)
![m](https://tex.z-dn.net/?f=m%3CB%3D3x%2B30%3D3%2A30%5C%C2%B0%2B30%5C%C2%B0%3D120%5C%C2%B0)
Answer:
20.2 miles
Step-by-step explanation:
This can be described by the three sides of a right angled triangle. Let the distance of the glider to the airport be represented by x, applying the Pythagoras theorem:
=
+ ![/adj2/^{2}](https://tex.z-dn.net/?f=%2Fadj2%2F%5E%7B2%7D)
=
+ ![/13/^{2}](https://tex.z-dn.net/?f=%2F13%2F%5E%7B2%7D)
576 =
+ 169
= 576 - 169
= 407
x = ![\sqrt{407}](https://tex.z-dn.net/?f=%5Csqrt%7B407%7D)
= 20.1742
x = 20.2 miles
The glider has to fly 20.2 miles to return to the airport.
Thank you for posting your question here at brainly. The exact distance from (−4, −2) to (4, 6) is the forth one which is <span>square root of 128. units. I hope the answer will help you. Feel free to ask more question. </span>