A) The probability that there are no boys in the car is given by:
Answer:

Step-by-step explanation:
We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).
First, recall that the equation of a circle is given by:

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.
Since our center is at (7, 2), <em>h</em> = 7 and <em>k</em> = 2. Substitute:

Next, the since a point on the circle is (2, 5), <em>y</em> = 5 when <em>x</em> = 2. Substitute:

Solve for <em>r: </em>
<em />
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Simplify. Thus:

Finally, add:

We don't need to take the square root of both sides, as we will have the square it again anyways.
Therefore, our equation is:

Blank 1: Given
Blank 2 : AD is parallel to BC
Blank 3: <3≅<2
Blank 4: Transitive property of convergence
Blank 5: Definition of Bisect
Step-by-step explanation:
We need to fill in the blanks from the given options.
Blank 1:
ABCD is a parallelogram
This is given
So, blank 1: Given
Blank 2:
A parallelogram have parallel sides i.e in the given parallelogram AD is parallel to BC and AB is parallel to DC
So, Blank 2 : AD is parallel to BC
Blank 3:
We are given <3≅<2
So, Blank 3: <3≅<2
Blank 4:
We know, <1≅<3 and <3≅<2 using transitive property (A≅B and B≅C then A≅C)
So, <1 ≅ <2 is due to transitive property of convergence
Blank 4: Transitive property of convergence
Blank 5:
DC bisects <ADE
A bisect is an line or angle that divides into exactly two parts.
So, Blank 5: Definition of Bisect
Keywords: parallelogram, bisection
Learn more about parallelogram at:
#learnwithBrainly
Answer:
(a) 
(b)
Step-by-step explanation:
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