Translations of geometric figures in the coordinate plane can be determined by translating the x- and y-coordinates of points. Horizontal and vertical translations are the easiest. ... Solution: A horizontal translation just changes the x-coordinates of all points, so the rule is (x, y) à (x + 3, y).
Answer:
The probability that he picked 2 purpled socks is <u>0.33</u>.
Step-by-step explanation:
Given:
Number of purple socks, 
Number of orange socks, 
Two socks are picked without replacement.
Now, total number of socks, 
Probability of picking the first cap as purple cap is given as:

Since there is no replacement, the number of socks decreases by 1. Also, if the first sock picked is purple, then number of purple socks is also decreased by 1.
Therefore, probability of picking the second cap as purple cap is given as:

Now, probability that both the picked caps are purple is given by their probability product. This gives,

Therefore, the probability that he picked 2 purpled socks is 0.33
The answer is X=-1 because they crossed at -1
Answer: Alternate interior angles
Step-by-step explanation:
Answer:
the value of x is 18
Step-by-step explanation:
observing the figure,
m < 1 =94 -----> by corresponding angles
(5x-4)+m < =180 degree -----> by supplementary angles
Substitute the measure of angle 1 and solve for x,
(5x-4)+94 = 180 degree
5x=180degree - 90degree
5x=90degree
x=18 degree