We are given the number of Blue and Purple Marbles for each of the four friends. So first we have to find the ratio of blue marbles to purple marbles for each of them.
A) Rosa
Number of blue marbles = 10
Number of purple marbles = 12
Ratio of blue to purple marbles = 
B) Chi
Number of blue marbles = 5
Number of purple marbles = 6
Ratio of blue to purple marbles = 
C) Alberto
Number of blue marbles = 5
Number of purple marbles = 12
Ratio of blue to purple marbles = 
D) Pedro
Number of blue marbles = 10
Number of purple marbles = 6
Ratio of blue to purple marbles = 
From the above calculations we can see that Pedro has the highest value of ratio for blue marbles to purple marbles. Also we can see Pedro is the only one for whom the number of blue marbles is more than the number of purple marbles. So this confirms that our calculation is correct.
Thus, the player which gets to go first is Pedro.
<u>Part 1) which angle is congruent to Angle 1?</u>
we know that
When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called <u>corresponding angles</u>
m∠5=m∠1 ----------> by corresponding angles postulate
therefore
<u>the answer Part 1) is </u>
Angle 
Part 2) Which can be used to directly prove that Angle 1 =~ Angle 8?
we know that
<u>Alternate exterior angles</u> are defined as two exterior angles on opposite sides of a transversal which lie on different parallel lines.
in this problem
m∠1=m∠8 -------> by alternate exterior angles theorem
therefore
<u>the answer part 2) is the option </u>
Alternate Exterior Angles Theorem
<u>Part 3) If m Angle 5 = 42 degrees, what is m Angle 4?</u>
we know that
<u> Alternate interior angles</u> are two interior angles which lie on different parallel lines and on opposite sides of a transversal
m∠4=m∠5 --------> by alternate interior angles theorem
so
m∠4=
therefore
<u>the answer Part 3) is</u>
Answer:
Distance = 21 miles.
Step-by-step explanation:
Let x be the distance in miles between the airport and Ann's home.
We have been given that Ann took a taxi home from the airport. The taxi fare was $2.10 per mile. So fare for x miles will be 2.10x.
We are also told that she gave the driver a tip of $5. Ann paid a total of $49.10. This means that fare of x miles and tip given to driver equals $49.10. We can represent this information in an equation as:
Now let us solve our equation.
Therefore, the equation represents the distance in miles between the airport and Ann's home and distance between Ann's home and airport in 21 miles.
