Answer:
a
n
=
−
2
n
+
15
Step-by-step explanation:
This is an arithmetic sequence since there is a common difference between each term. In this case, adding
−
2
to the previous term in the sequence gives the next term. In other words,
a
n
=
a
1
+
d
(
n
−
1
)
.
Arithmetic Sequence:
d
=
−
2
This is the formula of an arithmetic sequence.
a
n
=
a
1
+
d
(
n
−
1
)
Substitute in the values of
a
1
=
13
and
d
=
−
2
.
a
n
=
13
+
(
−
2
)
(
n
−
1
)
Simplify each term.
Tap for more steps...
a
n
=
13
−
2
n
+
2
Add
13
and
2
.
a
n
=
−
2
n
+
15
Step-by-step explanation:
the 2 angles marked with orange and green are equal becos the question said that the indicated angles are congruent meaning same deg. so 180 - that given angle = the 2 marked angles (based on the rule known as angles on a str line are supplementary)
since the 2 marked angles are same, you can say that d and k are parallel due to the rule of alternate angles
Topic: angle properties
If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!
Answer:
Snickerdoodles are 0.22$ each and chocolate chip are 0.43$ each
Step-by-step explanation:
using the information in the problem, you can make 2 separate equations: 8x+12y=6.92 and 5x+5y=3.25, let x= the cost of a snickerdoodle and y= the cost of a chocolate chip cookie.
With the 2 equations, we can isolate the y variable of the first equation and simplify which will give us y= -2/3x +6.92/12.
You can now take that equation and plug it into equation number 2:
5x+5(-2/3x + 6.92/12)=3.25.
solve that equation by multiplying 5 through the brackets: 5x-10/3x+34.6/12=3.25
add common terms: 5/3x=4.4/12
find the value of x, you will get x=0.22
plug the value of x (0.22) into one of your equations and solve for the y-value
