Answer:

Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to

we have

step 1
Find the distance AB
we have

substitute in the formula



step 2
Find the distance BC
we have

substitute in the formula



step 3
Find the distance DE
we have

substitute in the formula




step 4
Find the distance AE
we have

substitute in the formula




step 5
Find out the area of the four walls
To determine the area sum the length sides and multiply by the height of the walls
so

substitute the given values
The height of the walls is 10 ft



step 6
Determine the number of gallons needed to paint the four walls
we know that
one gallon of paint is enough to cover 400 square feet
using proportion

Round up

First the 8 stays the same the multiply it by 3 then add 3 and if you have an improper fraction you put it in simplest form. Equation-3×8 =24+3=27 so 27/8. Put in simplest form.
Answer:
x = 6
Step-by-step explanation:
because we know the lines intersect we also know the 2 angles are vertical meaning they are equal to each other
Knowing the angles are equal to each other you can make the equation
2x + 29 = 9x - 13
then you solve for x in this equation
2x + 29 = 9x - 13
(subtract 2x from both sides)
29 = 7x - 13
(add 13 to both sides)
42 = 7x
(divide by 7 on both sides)
6 = x
x = 6
1/7 gallon = 1 batch
<em>[multiply by 7 through]</em>
1 gallon = 7 batches
<em>[multiply by 8/9 through]</em>
8/9 gallon = 7 x 8/9
8/9 gallon = 6 2/9
<em>[Good enough to make 6 batches, not enough to make 7 batches]</em>
So he can make 6 batches of collard green
The third expression is wrong