How does a 90° counterclockwise rotation about the origin change the coordinates of a shape
1 answer:
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*the figure is shown in the attachment
Answer/Step-by-step explanation:
Since <XYZ and <YZX are said to be congruent, therefore, the side opposite to each of the angle are also equal. Therefore, ∆XYZ is an isosceles ∆.
Find the value of n by creating an equation to solve for n:
XY = (9n + 12) ft
XZ = (15n - 6) ft
XY = XZ (2 equal lengths of isosceles ∆)
9n + 12 = 15n - 6 (substitution)
Combine like terms
9n - 15n = - 12 - 6
-6n = -18
Divide both sides by -6
-6n/-6 = -18/-6
n = 3
Find the length of leg XY by substituting n = 3 into XY = (9n + 12) ft.
XY = (9(3) + 12) ft
XY = (27 + 12) ft
XY = 39 ft
Find the length of leg XZ by substituting n = 3 into XZ = (15n - 6) ft.
XZ = (15(3) - 6) ft
XZ = (45 - 6) ft
XZ = 39 ft
Answer with explanation:
Given : Number of men = 4
Number of women = 6
Total people =
Total number of ways to make a committee of five people from 10 persons :-
a) Number of ways to make committee that has exactly four women :
The probability that committee has exactly four women :
b) Number of ways to make committee that has at-least four women :
The probability that committee at-least four women :
c) Number of ways that committee has more than 4 women :-
The probability that committee has more than 4 women :-
Now, the probability that committee has at most four women :-