Step-by-step explanation:
Use triangle congruency:
BC=EC, AC=DC - Given
m∠DCE = m∠ACB because they are vertical angles
Therefore ΔABC ≅ ΔDEC because of Side-Angle-Side congruency
AB=DE because corresponding parts of congruent triangles are also congruent (CPCTC)
Answer:

Step-by-step explanation:
we are given that A vegetable garden and a surrounding as a shaped like a square that together a 11 ft wide. The path is 2 feet wide.since together the width of Vegetable garden and path is 11 ft, the width of the vegetables garden will be the difference between the total width and the width of path Thus,

simplify substraction:

recall that, every single side of a square is equal to each other therefore the the area of the garden will be

simplify square:

together the garden and path makes a square of every side length 11 ft saying that the area will be:

simplify square:

the area of path will be the difference between the total area and the garden area therefore,

simplify addition:

to figure out how many bags are needed to cover the path. we just need to divide the area of the path by the area of a bag of gravel and that yields:

simplify division:

hence,
<u>4</u> bags are needed to cover the path.
Answer:
They are compatible
Step-by-step explanation:
The first thing is to say that an "ace" and that it is a "coarse"
"ace" is card number 1. Group A
"coarse" is a type of the deck, found from number 1 to card 13. Group B
Thus:
Calculate A U B:
1 to 13 + 1 of the other types of cards in the deck.
At intersection B:
1 of "coarse"
Therefore, if group A is compatible with group B
Answer:
3y-x=-18
Step-by-step explanation:
3y-x=-18
3y=x-18
y=1/3x-6
Parallel lines have the same slope