Answer:
n=65th term
Step-by-step explanation:
AP:3,15,27,39......
From the AP
a=3
a+d=15
a+2d=27
3+d=15 (1)
3+2d=27 (2)
Subtract (1) from (2)
We have,
2d-d=27-15
d=12
54th term=a+(n-1)d
=3+(54-1)12
=3+(53)12
=3+636
=639
The term is 132 more than the 54th term
132+54th term
=132+639
=771
Find the term
771=a+(n-1)d
771=3+(n-1)12
771-3=12n-12
768=12n-12
768+12=12n
780=12n
n=780/12
=65
n=12
The term which is 132 more than the 54th term is the 65th term
Answer:
12
Step-by-step explanation:
5^2 + x^2 = 13^2
x = 12
Answer:
A-In a paragraph proof, statements and their justifications are written in sentences in a logical order.
B-A two-column proof consists of a list statements and the reasons the statements are true.
D-A flowchart proof is a visual way of describing the statements and reasons for a proof.
Step-by-step explanation:
Well, if you're following PEMDAS (Parentheses, Exponents, Multi/Div, Add/Sub), yes, first you would multiply 4x2, then since it's all adding and subtracting, you would go left to right, so if I'm right..
5-8+8-1 is the equation you'd need. So..
5-8=-3 -3+8=5-1=4. If I'm right, then 4 is your total. Hope that helped!
Answer:
The coordinates of point E are (7,8).
Step-by-step explanation:
Point E:
Is given by (x,y).
DE: EF = 2:3.
This means that, for both coordinates x and y:
x-coordinate:
x-coordinate of D: 1
x-coordinate of F: 16
y-coordiante:
y-coordinate of D: 4
y-coordinate of F: 14
The coordinates of point E are (7,8).