angie0000
30.03.2020 •
Mathematics
Dan bought 35 pieces of candy. He gave 4 pieces to each of his friends. He only has 3 pieces left. Which equation when solved for x,
gives the number of friends?
Solved
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Ответ:
8 friends
Step-by-step explanation:
35(at first)-3(left)=32
32(given away) divided by 4(to each friend)= 8 friends
Ответ:
Well, just remember that the total is
180
∘
for any triangle, ever. So, what we can construct are some simple relationships:
∠
A
=
∠
A
(1)
2
∠
B
=
∠
A
→
∠
B
=
∠
A
2
(2)
∠
C
=
∠
B
2
−
2
∘
→
∠
C
=
∠
A
4
−
2
∘
(3)
So, we can add them up to write and determine
∠
A
(and thus the other two):
∠
A
+
∠
B
+
∠
C
=
180
∘
∠
A
+
∠
A
2
+
∠
A
4
−
2
∘
=
180
∘
∠
A
+
∠
A
2
+
∠
A
4
=
182
∘
4
∠
A
4
+
2
∠
A
4
+
∠
A
4
=
182
∘
4
∠
A
+
2
∠
A
+
∠
A
=
728
∘
7
∠
A
=
728
∘
∠
A
=
104
∘
And of course, just plug things back into (2) and (3) to finish things up.
∠
B
=
52
∘
∠
C
=
24
∘
We can then verify that we've matched the conditions given.
∠
A
is indeed twice
∠
B
.
∠
C
is indeed
2
∘
less than half of
∠
B
. Finally, you can easily convince yourself that the three angles add up to
180
∘
.