Answer:
111 degrees
Step-by-step explanation:
the total degrees in a hexagon is 720 degrees.
the known angles add up to 379, so there is 341 degrees left.
angle KFE is 105 degrees because it adds up to 180 degrees with GFK.
angle LAD is 130 degrees because it adds up to 180 degrees with BAD.
130+105=230, so there is now 111 degrees left and that is angle x
Answer:
Yes, Always
Step-by-step explanation:
If M is the midpoint of line KL, then M, K, and L are collinear.
As you notice in the diagram, to be collinear means part of the same line.
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Answer:
Step-by-step explanation:
We can write two equations in the two unknowns using the given relations. Let g and b represent the costs of a round of golf and a turn in the batting cage, respectively.
5g +4b = 60 . . . . . Sylvester's expense
3g +6b = 45 . . . . . Lin's expense
Dividing the second equation by 3 gives ...
g +2b = 15 ⇒ 2b = 15 -g
Substituting into the first equation, we have ...
5g +2(2b) = 60
5g +2(15 -g) = 60 . . . . . substitute for 2b
3g = 30 . . . . . . . . . subtract 30, collect terms
g = 10 . . . . . . . divide by 3
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2b = 15 -10 = 5 . . . . use the value of g to find b
b = 2.5 . . . . . . . . divide by 2
Mini golf costs $10 per round; batting cages cost $2.50 per turn.