-9 is the slope of the line.
X = -33 + 42
x = 42 - 33
x = 9
<span>-3(2m-1)-n
First we multiply -3 to the first term of the expression
---------- > ( -3*2m + (-3)*(-1) ) - n
</span>---------- > ( -6m + 3 ) - n<span>
-----------> -6m -n + 3
Then, we divide and multiply by -6, (the expression remains the same)
</span>
---- > (-6/-6)* (-6m -n + 3)<span>
---- > -6*[m + (n/6) - 1/2]
</span>
The answer is -6*[m + (n/6) - 1/2]
Answer:△DEF is congruent to △D′E′F′ because the rules represent a translation followed by a reflection, which is a sequence of rigid motions.
Step-by-step explanation:
A rigid motion of the plane is a motion which maintain distance.
Translation is a kind of rigid motion used in geometry to trace a function that moves an object a particular distance.
A reflection is also a kind of rigid motion . It is mainly a 'toss' of a shape across the line of reflection.
So,△DEF is mapped to △D′E′F′ using the rule (x,y)→(x,y+1) ( which is a translation.) followed by (x,y)→(x,−y)(which is reflection),therefore it is a sequence of rigid motions.
