Answer:
3/4
Step-by-step explanation:
First of all, we need to calculate the slope of the line shown. This can be computed as:
where
is the increment along the y-direction
is the increment along the x-direction
We can choose the following two points to calculate the slope of the line shown:
(-3,2) and (0,-2)
And so, the slope of the line shown is
Two lines are said to be perpendicular if the slope of the first line is the negative reciprocal of the slope of the second line:
Using , we find that a line perpendicular to the line shown should have a slope of
Answer: The student is <u>not</u> correct
To reflect over the y axis, you use this rule
The x coordinate swaps in sign (from positive to negative, or vice versa) while the y coordinate stays the same.
So for a point like A(1,1), it should move to A ' (-1, 1) and not (-2,1) like the diagram shows.
B(3,1) should move to B ' (-3, 1)
C(1,4) should move to C ' (-1, 4)
It appears that the student applied a reflection over the y axis, and then they shifted the triangle 1 unit to the left.
55 cause 45 + 15 = 60+40 =100]
Answer:
W = 73°
X = 81°
Y = 26°
Step-by-step explanation:
We can let W, X, Y represent the measures of the corresponding angles. The problem statement gives us the relations ...
W = 3Y -5
X = W +8
Of course, the sum of angles in a triangle is 180°, so we have ...
W +X +Y = 180
W +(W +8) +Y = 180 . . . . . substitute for x
2W +Y = 172 . . . . . . . . . subtract 8, collect terms
2(3Y -5) +Y = 172 . . . substitute for W
7Y = 182 . . . . . . . . add 10, collect terms
Y = 26 . . . . . . . . divide by 7
W = 3(26) -5 = 73
X = 73 +8 = 81
The angle measures are (W, X, Y) = (73°, 81°, 26°).
Answer:
Step-by-step explanation:
23.02 plus an additional 0.19 for each text.....x = # of texts
$ 0.19x + 23.02 = 27.77 is ur equation