Comparing the two triangle above, we can state:
a) The side WZ = side YZ
b) The side VZ = XZ
c) Angle WZV = Angle XZY (Vertical Angles)
d) XY is parallel to WV
e) So, Angle XYZ = Angle VWZ
Thus, we can conclude that the two triangles are exactly equal in measure. All the sides and angles of the triangle have the same measure.
So, Side WV = Side XY
12x - 61 = 3x + 2
12x - 3x = 2 + 61
9x = 63
x = 7
So, length of WV will be = 12(7) - 61 = 23
Thus, the answer to this question is 23
Answer:
4/52 or 1/13
Step-by-step explanation:
In a standard deck of 52 cards, there are 4 suits and each suit has 13 cards.
There are 4 kings, 4 queens, 4 aces, and 4 jacks.
So the probability of drawing a king would be:
4/52 = 1/13
Use Desmos insert y=0.4x into the calculator
Answer:
The number of times members and non-members will have to rent a boat in order to pay the same amount=20
Step-by-step explanation:
We can have two expressions to show the total cost paid by a member and non-member;
Total cost by member=Cost per summer season+cost per number of times they rent a boat×number of times they rent a boat
where;
Cost per summer season=$105
Cost per number of times they rent a boat=$9.50
Number of times they rent a boat=n
Replacing;
Total cost by a member=105+(9.5×n)=9.5 n+105......equation 1
Total cost by a non-member=Cost per number of times they rent a boat×number of times they rent a boat
where;
Cost per number of times they rent a boat=$14.75
Number of times they rent a boat=n
Replacing;
Total cost by a non-member=(14.75×n)=14.75 n......equation 2
To calculate the number of times they would have to rent a boat in order to pay the same amount, we equate equation 1 to equation 2
9.5 n+105=14.75 n
14.75 n-9.5 n=105
5.25 n=105
n=105/5.25
n=20
The number of times members and non-members will have to rent a boat in order to pay the same amount=20
