The new amount would be 11 more than the original
Using proportions, the coordinates of the point 3/4 of the way from P to Q are: (0,4).
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We want to find the coordinates of point M(x,y) 3/4 of the way from P to Q, hence the rule is given by:
M - P = 3/4(Q - P)
For the x-coordinate, we have that:
x + 6 = 3/4(2 + 6)
x + 6 = 6
x = 0.
For the y-coordinate, we have that:
y + 5 = 3/4(7 + 5)
y + 5 = 9.
y = 4.
The coordinates are (0,4).
More can be learned about proportions at brainly.com/question/24372153
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Answer:
2
Step-by-step explanation:
Answer:
(A) Quadrilateral 1 is congruent to quadrilateral 2 because the transformations are rigid.
Step-by-step explanation:
This is because since it's only being reflected across the y-axis and translated 8 units down, it's still an isometric.
Isometry or rigid transformation is the opposite of a non-rigid transformation and occurs during translations, reflections and rotations. Non-rigid transformations occur in dilations.
Isometry basically keeps all measure angles and distances of the polygon the same before and after a transformation.
Answer:
A) P(E|F) = 0.900
B) P(F|E) = 0.771
Step-by-step explanation:
P(E) = 0.7
P(F) = 0.6
P(E n F) = 0.54
A) P(E|F), the probability that the first airline's flight is fully booked given that the second airline's flight is fully booked is given mathematically as
P(E|F) = P(E n F)/P(F) = 0.54/0.6 = 0.900
B) P(F|E), the probability that the second airline's flight is fully booked given that the first airline's flight is fully booked is given mathematically as
P(F|E) = P(E n F)/P(E) = 0.54/0.7 = 0.771
