Define the variables, write a system if equations corresponding to the problem, and solve the problem. 2. a group of four golfers pays $150 to play a round of golf. of these four, one is a member of the club and three are nonmembers. another group of golfers consists of two members and one nonmember and pays a total of $75. what is the cost for a member to play a round of golf, and what is the cost for a nonmember?

Cost of member = $15 and Cost of non member = $45

Step-by-step explanation:

a) Define variables.

Let x be the cost of member.

Let y be the cost of non member.

b) Write a system of equations:

According to question, we get that

x+3y=$150--------------(1)

2x+y=$75---------------(2)

Now, we need to calculate the cost for a member and a non member.

Using graphing method, we get that (15,45) is the solution set.

Hence, cost of member = $15 and Cost of non member = $45

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.