Whoever answers this question right in 3 mins gets

a sequence of transformations which moves δrst onto δuvw shows that δrst ≅ δuvw. which part of the triangles are congruent by cpctc?

a) vw ≅ rt

b) st ≅ uv

c) vw ≅ st

d) rs ≅ uw

C

Step-by-step explanation:

A sequence of transformations which moves ΔRST onto ΔUVW shows that ΔRST ≅ ΔUVW.

CPCTC (corresponding parts of congruent triangles are congruent).

By CPCTC, if ΔRST ≅ ΔUVW, then

Thus, option C is correct.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

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.