Answer: The loser's card shows 6.
Explanation: Let's start by naming the first student A and the second student B.
Since the product of A and B are either 12, 15, or 18, let's list every single possibility, the first number being A's number and the second number being B's number.
1 12
1 15
1 18
2 6
2 9
3 4
3 5
3 6
4 3
5 3
6 2
6 3
9 2
12 1
15 1
18 1
Now, the information says that A doesn't know what B has, so we can immediately cross off all of the combinations that have the integer appearing once and once ONLY off, because if it happened once only, A would know of it straight away. Now, our sample space becomes much smaller.
1 12
1 15
1 18
2 6
2 9
3 4
3 5
3 6
6 2
6 3
Using this same logic, we know that we can cross off all of the digits that occur only once in B's column.
2 6
3 6
Now, A definitely knows what number B has because there is only one number left in B. Hence, we can conclude that the loser, B, has the integer 6.
Answer:
225
Step-by-step explanation:
The sum total of all the angles is 7,740 degrees,
The formula for the interior angle is 180(n - 2) where n is the number of sides in the polygon
Set this equal to 7740
180 (n-2) = 7740
Divide each side by 180
180/180 (n-2) = 7740/180
n-2 =43
Add 2 to each side
n-2+2 = 43+2
n = 45
Each vertex hold 5 people so take n and multiply by 5
45*5 = 225
The Ferris wheel holds 225 people
We know the measure of one of the angles.Angle b which is 90.
Now we have to find the other two angles.
First we will find angle a.
There are 180 degrees in a straight line.
Sooo...
180-130=50
Angle a will be 50.
There are also 180 degrees in a triangle.
To find the last angle we do this
180-50-71=59
Your answer and the measure of angle c will be 59 or option 3.
Answer:
3
Step-by-step explanation:
