<h2>
Hello!</h2>
The answer is: Tara is 24.6 miles from her starting point.
<h2>
Why?</h2>
Since she first drives to the north, and then to the east, we can find how far is Tara from her starting point by using the Pythagorean Theorem.
The Pythagorean Theorem states that:
![a^{2} =b^{2}+c^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%3Db%5E%7B2%7D%2Bc%5E%7B2%7D)
![a=Displacement\\b=22miles(north)\\c=11miles(east)](https://tex.z-dn.net/?f=a%3DDisplacement%5C%5Cb%3D22miles%28north%29%5C%5Cc%3D11miles%28east%29)
Therefore,
![Displacement=\sqrt{22miles^{2} + 11miles^{2}}=\sqrt{484 + 121}\\diagonal=\sqrt{605}=\sqrt{400.57}=24.59miles=24.6miles](https://tex.z-dn.net/?f=Displacement%3D%5Csqrt%7B22miles%5E%7B2%7D%20%2B%2011miles%5E%7B2%7D%7D%3D%5Csqrt%7B484%20%2B%20121%7D%5C%5Cdiagonal%3D%5Csqrt%7B605%7D%3D%5Csqrt%7B400.57%7D%3D24.59miles%3D24.6miles)
So, Tara is 24.6 miles from her starting point and her displacement is 24.6 miles northeast.
Answer:
a. X=7,-7 b. x=10,-20
Step-by-step explanation:
Answer:
ITS C
Step-by-step explanation:
TRUST ME
Ok so first you know that the missing angle is going to = y+x. Then look at just half to the x so you’re looking at only a “straight line”. That means you are either seeing y+x and 2x together or y-x and y+x together. Either way, both add to 180, so that means they are equal to each other! So, you can set them equal to each other: 2x + y + x = y+ x + y - x. When you simplify that, you get y+3x = 2y so 3x = y. Then you can go back to your first equations, I used 2x + y+x = 180 and where ever there’s a y substitute in 3x. So you are left with 3x + x + 2x = 180 —> 6x = 180 so x = 30°!
Answer:
m∠P = 29
Step-by-step explanation:
Straight line is 180 so:
56 + x = 180
x = 124
So m∠Q is 124 and a triangle is 180 so now:
124 + 27 + h = 180
151 + h = 180
h = 29
m∠P = 29