Answer:
x = 100°
Step-by-step explanation:
The measure of a chord- chord angle is half the sum of the arcs intercepted by the angle and its vertical angle, that is
x = (71 + 129)° = 0.5 × 200° = 100°
(–2, –3) is the image produced by applying the composition T -2.4 rx to a point. What are the coordinates of the preimage?
2 answers:
Answer:
D. (0,7)
Step-by-step explanation:
We are given that,
The point (-2,-3) is transformed by the composition .
That is, the point is first reflected across x-axis and then translated 2 units to the left and 4 units up.
<h3>So, the rule for the transformation is (x,y) → (x,-y) → (x+2,-y+4)</h3>Thus, the image of (-2,-3) is given by,
(-2,-3) → (-2,3) → (-2+2,3+4) = (0,7)
That is, the image of (-2,-3) after transformation is (0,7).
So, option D is correct.
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An expression in terms of s that represents the number of large bottles is : L =
The company makes s small bottles every minute
let ; M represent the number of medium bottles made every minute
L represent the number of large bottles made every minute
small bottles to medium = 2 : 3
small bottles to medium = s : M
M is the unknown, so to find how many medium bottles that has been made, we must cross multiply
2M = 3s
M = medium bottles made every minute
medium bottles to large bottles = 3 : 5
medium bottles to large bottles = M : L
where M =
The equation becomes:
3 : 5
: L
L is the unknown, so to find how many Large bottles that has been made, we must cross multiply
3L =( ) * 5
L =
L = ( s)
L = 2.5 s
therefore the large bottles the company makes every minute is 2.5s large bottles
we can conclude that the expression for the number of large bottles the company makes every minute with respect to s is : L = 2.5 s
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