select the correct answer from each drop-down menu.
∆abc has vertices at a(12, 8), b(4, 8), and c(4, 14).
∆xyz has vertices at x(6, 6), y(4, 12), and z(10, 14).
∆mno has vertices at m(4, 16), n(4, 8), and o(-2, 8).
∆jkl has vertices at j(14, -2), k(12, 2), and l(20, 4).
congruent. a a single rigid transformation that maps the two congruent triangles.

Step-by-step explanation:

The two triangles that have the same side lengths (3-4-5) are ∆ABC and ∆MNO, hence these are the ones that are congruent. ∆ABC is a 90° clockwise rotation of ∆MNO. They have a shared point at B = N = (4, 8), which is the center of the rotation.

Of course, the rotation could also be described as a CCW rotation of ∆ABC to make ∆MNO.

slope is 35 and 20 miles is the y-intercept.

step-by-step explanation:

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.