Answer:
25. a = 60
26. a = 17
Step-by-step explanation:
In these two problems we are going to use a property of parallelograms that says: opposite angles have equal measure
so we have
25.
and for 26 we have
Angle b will be 34 degrees because angle b and the other angle that is 34 degrees are vertical angles!
Answer:
Incomplete question
Complete question;
A group of eight golfers paid $430 to play a round of golf . Of the golfers one was a member and 7 were not.
Another group of golfers consists of two members and one nonmember. They paid 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?
Answer: X = $82.695 for members
Y = $49.615 for non members
Step-by-step explanation:
Let's use X to denote members and Y for non-members.
Therefore, amount paid by one member to play + amount paid by 7 non-members to play = 430
X + 7Y = 430. . .1
Amount paid by 2 members to play + amount paid by one non-member to play = 215
2X + Y = 215. . .2
Solving both equations simultaneously
X+7Y = 430
2X +Y = 215
Therefore, from eqn 1. X = 430-7y
Substituting this into wan 2 gives
2(430-7Y) + Y = 215
860-14Y + Y = 215
860-215 =13Y
645 = 13y
Y = 49.615
Therefore substituting Y = 49.615 into any equation above
X + 7(49.615) = 430
X = 430-347.05
X = 82.695
You can answer this problem using the midpoint formula, but we can work out the 4th vertex by just logically thinking it through by first drawing out the rhombus on an x-y coordinate plane. I wrote the answer out on paper since it is easier than typing. Let me know if you have any questions.
So in this case, the solution is where the graphs intersect. Put the equations in y-intercept form.
-4x+y=-6
y=4x-6
8x-2y=14
-2y=14-8x
y=4x-7
These lines have the same slope, which is 4. Therefore, they are parallel. Parallel lines never intersect, so there is NO SOLUTION.
