(02.01)triangle xyz slides 2 units left and 1 unit down on the coordinate plane. if the original measure of angle x was 40 degrees, what is the measure of angle x'?

Let us say that triangle XYZ has sides of XY, YZ, and ZX.

Each of the corners X, Y, and Z are located at their own (x, y) points.

If all of the triangle are transformed through translation by a movement of 2 units left and 1 unit down on the coordinate plane then we generate a triangle X’Y’Z’.

Then each of the corners X’, Y’ and Z’ are now located at (x – 2, y – 1) coordinates.

Since all of the corners were moved then we can also say that:

XY is congruent to X’Y’

YZ is congruent to Y’Z’

ZX is congruent to Z’X’

Since all sides are congruent, therefore all angles are also congruent.

Therefore the measure of angle x’ is equal to the measure of angle x.

40 degrees

answer: d. a cme increases the amount of energy in the solar wind

explanation:

coronal mass ejections, also called cmes, are large clouds of plasma and magnetic field that erupt from the sun. only when the cloud is aimed at earth will the cme hit earth and therefore cause impacts. high-speed solar wind streams come from areas on the sun known as coronal holes.

chemical energy --> gravitational potential energy --> kinetic energy --> elastic potential energy --> gravitational potential energy

explanation:

when emma starts the hike, the chemical energy stored in her body is used to climb up the mountain, and so she gains gravitational potential energy (because at the end, she will be at a higher height h above the ground). then she goes bungee jumping: as she falls, this gravitational potential energy is converted into kinetic energy (because her speed increases as she falls down), until the point when the rope stretches, and she stops moving. at that moment, all the kinetic energy is converted into elastic potential energy due to the stretching of the rope. then, this energy is released because the rope returns to its natural length, and emma gains a small increase in altitude , so she gains some gravitational potential energy.