What is the length of AD? Express the answer in terms of Pie.
1 answer:
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Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation is reflection, translation, rotation and dilation.
Dilation is the increase or decrease in size of an object.
Given the vertex matrix of quadrilateral ABCD as:
Therefore the vertex of quadrilateral ABCD is at A(-1, 2), B(5, 5), C(5, 3) and D(-4, -1).
Quadrilateral ABCD is dilated by a scale factor of 3 to produce quadrilateral A'B'C'D'.
Hence, the vertex matrix of quadrilateral A'B'C'D' is:
Therefore the vertex of quadrilateral A'B'C'D' is at A'(-3, 6), B'(15, 15), C'(15, 9) and D'(-20, -3).
The correct option is figure A
Answer:
(a) The sample space is: S = {bb, bg, gb, gg}
(b) The probability that the couple has two girl children is 0.25.
(c) The probability that the couple has exactly 1 boy and 1 girl child is 0.50.
Step-by-step explanation:
A boy child is denoted by, <em>b</em>.
A girl child is denoted by, <em>g</em>.
(a)
A couple has two children.
The sample space for the possible gender of the two children are:
The couple can have two boys, two girls or 1 boy and 1 girl.
So the sample space is:
S = {bb, bg, gb, gg}
(b)
It is provided that the outcomes of the sample space <em>S</em> are equally likely, i.e. each outcome has the same probability of success.
Compute the probability that the couple has two girl children as follows:
P (2 Girls) = Favorable no. of outcomes ÷ Total no. of outcomes
Thus, the probability that the couple has two girl children is 0.25.
(c)
Compute the probability that the couple has exactly 1 boy and 1 girl child as follows:
P (1 boy & 1 girl) = Favorable no. of outcomes ÷ Total no. of outcomes
Thus, the probability that the couple has exactly 1 boy and 1 girl child is 0.50.
Let's say the point is C, so C partitions AB into two pieces, where AC is at a ratio of 3 and CB is at a ratio of 7, thus 3:7,
