Given:

In the given figure, PS=x, RS=35, UV=20, VW=25 and TW=15
To find:
The scale factor from PQRS to TUVW.
Solution:
We have,

We know that the corresponding sides of similar figures are proportional. The scale factor is the ratio of one side of image and corresponding side of preimage.
The scale factor is:



Therefore, the scale factor from PQRS to TUVW is
.
Answer;
-Calculate the lengths of the diagonals, and show that they are equal.
-Calculate the slopes of every side, and show that adjacent sides are perpendicular.
Explanation;
-A parallelogram is a quadrilateral with 2 pairs of opposite, equal and parallel sides. If the diagonals of a parallelogram are congruent, then it’s a rectangle and also if a parallelogram contains a right angle, then it’s a rectangle.
Answer:
Look for the y-intercept where the graph crosses the y-axis. Look for the x-intercept where the graph crosses the x-axis. Look for the zeros of the linear function where the y-value is zero.
Step-by-step explanation:
Answer:
90 cubes.
Step-by-step explanation:
First we find volume of the cuboid.
Volume = l x b x h = 20 x 18 x 16 = 5760 cm³
Now,
Volume of a single cube = l³ = 4³ = 64
No of cubes that can be cut out from the cuboid is
= Volume of cuboid/ volume of cube
= 5760/ 64
= 90 cubes