Answer:
x = z - m
Step-by-step explanation:
<u>Solving for x with steps:</u>
- z=m+x
- x + m = z
- x + m - m = z - m
- x = z - m
Answer: Choice A)
![H = \frac{SA}{2(L+W)} - \frac{LW}{L+W}\\\\](https://tex.z-dn.net/?f=H%20%3D%20%5Cfrac%7BSA%7D%7B2%28L%2BW%29%7D%20-%20%5Cfrac%7BLW%7D%7BL%2BW%7D%5C%5C%5C%5C)
=================================================
Work Shown:
![SA = 2(LW + LH + HW)\\\\2(LW + LH + HW) = SA\\\\LW + LH + HW = \frac{SA}{2}\\\\LH + HW = \frac{SA}{2} - LW\\\\H(L + W) = \frac{SA}{2} - LW\\\\H = \frac{\frac{SA}{2} - LW}{(L + W)}\\\\H = \frac{SA}{2(L+W)} - \frac{LW}{L+W}\\\\](https://tex.z-dn.net/?f=SA%20%3D%202%28LW%20%2B%20LH%20%2B%20HW%29%5C%5C%5C%5C2%28LW%20%2B%20LH%20%2B%20HW%29%20%3D%20SA%5C%5C%5C%5CLW%20%2B%20LH%20%2B%20HW%20%3D%20%5Cfrac%7BSA%7D%7B2%7D%5C%5C%5C%5CLH%20%2B%20HW%20%3D%20%5Cfrac%7BSA%7D%7B2%7D%20-%20LW%5C%5C%5C%5CH%28L%20%2B%20W%29%20%3D%20%5Cfrac%7BSA%7D%7B2%7D%20-%20LW%5C%5C%5C%5CH%20%3D%20%5Cfrac%7B%5Cfrac%7BSA%7D%7B2%7D%20-%20LW%7D%7B%28L%20%2B%20W%29%7D%5C%5C%5C%5CH%20%3D%20%5Cfrac%7BSA%7D%7B2%28L%2BW%29%7D%20-%20%5Cfrac%7BLW%7D%7BL%2BW%7D%5C%5C%5C%5C)
This is not the only way to solve for H.
Find logarithm of both sides
log (3^x) = log 8
xlog3 = log8
x = log8/log3
x = 1.893