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.
Answer:
<span>40 degrees</span>
Answer:
C. The voltage drop across the resistor is 2.1V and nothing about the current through the resistor.
Explanation:
When connected in parallel, voltage across the resistances are the same. So if 2.1V was dropped across the LED then 2.1V was also dropped across the resistor. However, this tells us nothing about the current through the resistor. We can find the current across the resistor if we know the resistance of the resistor, but that's about it.
If it were a series connection, then the current would have been the same, but the voltage drop were another story.
Answer:
The correct answer to this question is D. The area of a desk top.
Explanation:
Square meters, or m^2, are the units that represent area, or the product of two lengths. This is because the length and the width both have the units meters, so when multiplied to calculate area, the resulting units are square meters or m2. Thus, the answer for this question is D.
The length of a pendulum string would be measured in meters.
The volume of an atom would be measured in m^3 (volume is the product of the length, width, and height, giving it a cubic power). However, the volume would probably be measured in a much smaller unit because atoms are very small.
The mass of a book would likely be measured in grams or kilograms.
Answer:0.246 m
Explanation:
Given
height of window (h)=1 m
Time to pass window =0.28 s
Let roof is at a distance of 
above window
let t be the time to cover
------1
--------2
subtract 1 & 2
![1=\frac{g}{2}\left [ \left ( 2t+0.28\right )\left ( 0.28\right )\right ]](https://tex.z-dn.net/?f=1%3D%5Cfrac%7Bg%7D%7B2%7D%5Cleft%20%5B%20%5Cleft%20%28%202t%2B0.28%5Cright%20%29%5Cleft%20%28%200.28%5Cright%20%29%5Cright%20%5D)
t=0.224 s
