Answer:
7/12
Step-by-step explanation:
To subtract fractions, you must make all of the fractions have a common denominator. We can set both of the denominators as 12. To achieve this, you must multiply both sides of 2/3 by 4. This will change the denominator of the fraction, while keeping the fraction equal to 2/3. Doing this will give us 8/12. Now we can subtract. Since the denominators are the same, we only subtract the numerators. Since 8-1 is 7, our answer is 7/12. The denominator does not change.
Answer: 10 units²
Step-by-step explanation:
We can divide the shape along the y-axis to get 2 separate triangles. If we find the area of each and add them up, we can get the total area of the figure.
We can get each triangle's area using the formula 
<h3>Left Triangle</h3>
base length - 4 units
height - 4 units


<h3>Right Triangle</h3>
base length - 2 units
height - 2 units



Total = 8 units² + 2 units² = 10 units²
Answer:

Step-by-step explanation:
Given


See attachment for prism
Required
Find x
The prism has a regular hexagon base
The base area is calculated as:

This gives:




Side x represents the height.
So, we have:

Make x the subject




--- approximated
Watch to find the midpoint:
https://www.khanacademy.org/math/geometry/hs-geo-analytic-geometry/hs-geo-distance-and-midpoints/v/midpoint-formula