Answer:
Step-by-step explanation:
Assuming ray NR is the middle one, the angles add up like this:
m∠MNR + m∠RNP = m∠MNP
Substituting the given relations, ...
-2(x -4) + (-(3x -2)) = -2 - (6x -2)
-2x +8 -3x +2 = -2 -6x +2 . . . . . eliminate parentheses
-5x +10 = -6x . . . . . . . . . . . . . . . collect terms
x +10 = 0 . . . . . . . . . . . . . . . . . . . add 6x
x = -10 . . . . . . . . . . . . . . . . . . . . . subtract 10
Then the angle of interest is ...
m∠RNP = -(3x -2) = -(3·(-10) -2) = -(-32)
m∠RNP = 32
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The transformation ...
j(x) = f(x -a) +b
translates the function f(x) right by 'a' and up by 'b'. Here, your functions are ...
a) g(x) = f(x) +2; translated up 2 units
b) h(x) = f(x -3); translated right 3 units
c) k(x) = f(x +1) -4; translated left 1 unit and down 4 units
__
In the attached graph, the functions are color-coded to match the color identifier in the left column. The original f(x) is orange.
Answer:
c
Step-by-step explanation:
it is because in (a) the square root of 112. is 10.58 which is in between 10 and 11
(B) the square root of 180 is 13.42 which is between 13&14
(c) the square root of 12 is 3.46 which is not between 4&5
We can’t see the indicate values, but for a general answer, the first will be better AS LONG AS Y IS A POSITIVE. The second answer will be better if Y is a negative. Hope this helps.