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.
The value of x from the figure is 1 and the equations that represent angle relationships in the figure are 7x + 5x = 3 + 9 and 12x = 12
<h3>Lines and angles</h3>
The point where two lines meet is known as an angle. From the given diagram;
7x-9 = 5x + 3
Determine the value of x
7x + 5x = 3 + 9
12x = 12
x = 12/12
x = 1
Hence the value of x from the figure is 1 and the equations that represent angle relationships in the figure are 7x + 5x = 3 + 9 and 12x = 12
Learn more on lines and angles here: brainly.com/question/25770607
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E. no solution. hope this helps! :)
Answer:
area of parllelogram=base×height=(4+8)×7=12×7=
84m²
