Again, I've attached an image showing the 30-60-90 relationship for triangles. Hopefully this should help as we work through this problem.
For the side adjacent to the 30 degree angle, we know that the side length is . Let's take a look at the given options and see which ones fit.
The options that fit are
and
.
For the side adjacent to the 60 degree angle, we know that the side length is just x. Let's take a look at the given options and see which ones fit.
The options that fit are x and 7.
Finally, the hypotenuse is the longest side of the triangle and its length is equal to 2x.
So, the options that fit are 2x and 14.
Hope this helps! :)
The given path can be illustrated in the following diagram:
She has only 30 miles worth of gas, if she comes back through the same path then the total distance is:

Therefore, she has not enough gas to go back using the same path.
Now, the total distance traveled in a straight path (SP) can be found using the Pythagorean theorem, we get:
![\begin{gathered} SP=\sqrt[]{13^2+24^2} \\ SP=\sqrt[]{745} \\ SP=27.3\text{ miles} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20SP%3D%5Csqrt%5B%5D%7B13%5E2%2B24%5E2%7D%20%5C%5C%20SP%3D%5Csqrt%5B%5D%7B745%7D%20%5C%5C%20SP%3D27.3%5Ctext%7B%20miles%7D%20%5Cend%7Bgathered%7D)
Therefore, she needs to take a straight path.
Answer:
(-1,-4) is the vertex
x = -1 is the equation of symmetry;
Step-by-step explanation:
See attached image.
Answer:
B. -6
Step-by-step explanation:
hope this helps!
Answer:
its the second one down my dude. good luck!