50 points show your work

decide whether there is enough information to prove the following triangles are congruent. justify your answer for each pair of triangles.
is ∆abc ≅ ∆dce ? justify your answer below.

show your work

Yes it is congruent

Step-by-step explanation:

1) if you reflect DCE it would fit perfectly on top of ABC

2) A and D both have a dash

B and c both have a dash

C is in the middle of them both

showing they are both the same

It is indeed congruent.

Step-by-step explanation:

If DCE is reflected you will see that it is the exact same as ABC

Both triangles have dashes on each side reflecting each other

The C is in the middle representing that the two triangles are identical.

I hope this helped! Good luck on whatever test you are taking!! :)))

about 0.75 hours

step-by-step explanation:

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.