Which sequence of transformations shows that figure b is similar to figure a?

a.

figure a was dilated by a scale factor of 1/2, with point n as the center of dilation, and then reflected across line m to form figure b.

b. figure a was rotated 90° clockwise about point n and then dilated by a scale factor of 2, with point n as the center of dilation, to form figure b.

c. figure a was dilated by a scale factor of 2, with point n as the center of dilation, and then rotated 90° counterclockwise about point n to form figure b.

d. figure a was reflected across line m and then dilated by a scale factor of 1/2, with point n as the center of dilation , to form figure b.

The answer is (C)

Figure A was dilated by a scale factor of 2, with point N as a center of dilation, and then rotated about 90° counterclockwise about N to form figure B

Step-by-step explanation:

∵ Figure B larger than figure A

∴ The scale factor > 1

∵ Figure A is in the first quadrant and figure B is in the second

  quadrant and the horizontal side in A become vertical side in B

∴ Figure A rotated 90° anticlockwise

∴ The answer is C

[2, 2.5)

(2.5, 3]

step-by-step explanation:

i think its these two not sure [2, 2.5)

(2.5, 3]

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.