Answer:
The bigger angle is 144 degrees and the smaller one is 36 degrees
Answer:
There are 4 possibilities
Step-by-step explanation
Each customer has 2 ways to receive the money. For each way, the other customer has 2 option, giving a total of 2*2 = 4. Here are the possibilities, separating in 2 different cases.
Case 1: customer 1 withdraws 2 $20 bills
option 1.1: customer 1 withdraws 2 $20 bills AND customer 2 withdraws 2 $20 bills
option 1.2: customer 1 withdraws 2 $20 bills AND customer 2 withdraws 4 $10 bills
Case 2: customer 1 withdraws 4 $10 bills
option 2.1: customer 1 withdraws 4 $10 bills AND customer 2 withdraws 2 $20 bills
option 2.2: customer 1 withdraws 4 $10 bills AND customer 2 withdraws 4 $10 bills
options 1.1, 1.2, 2.1 and 2.2 give us a total of four ways for the customers to retrieve thier money.
For the last question
40*3=120 total cakes
120*.15=18 chocolate cakes
x
4
+
50
x
2
+
625Rewrite
625
as
25
2
.
u
2
+
50
u
+
25
2
Check the middle term by multiplying
2
a
b
and compare this result with the middle term in the original expression.
2
a
b
=
2
⋅
u
⋅
25
Simplify.
2
a
b
=
50
u
Factor using the perfect square trinomial rule
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
, where
a
=
u
and
b
=
25
.
(
u
+
25
)
2
Replace all occurrences of
u
with
x
2
.
(
x
2
+
25
)
2
Answer:
the solution to the system is (5,3)
Step-by-step explanation:
the first statement is True: 2(10) - 5(5) = -5
20 - 25 = -5
-5 = -5
the second statement if False: 10 + 2(5) ≠ 11
the third statement is True
the last statement is False
