Answer:
x = 27
Step-by-step explanation:
The segment in the triangle bisects ∠ BAC and divides the opposite side into segments that are proportional to the other 2 sides , that is
= ( cross- multiply )
10(2x - 5) = 14(x + 8) ← distribute parenthesis on both sides
20x - 50 = 14x + 112 ( subtract 14x from both sides )
6x - 50 = 112 ( add 50 to both sides )
6x = 162 ( divide both sides by 6 )
x = 27
Answer:In this problem,
a
n
=x
a
1
=1
d=6−1=5
∴x=1+(n−1)×5
∴x−1=(n−1)×5
∴(n−1)=
5
x−1
∴n=
5
x−1
+1
∴n=
5
x−1+5
∴n=
5
x+4
Equation (1)
2) Sum of n terms of A.P. is
∑a
n
=
2
n
[2a+(n−1)d]
As given in problem, ∑a
n
=148
∴
2
n
[2a+(n−1)d]=148
∴
2
(
5
x+4
)
[(2×1)+(
5
x+4
−1)5]=148
∴
10
x+4
[2+(
5
x+4−5
)5]=148
∴
10
x+4
[2+x−1]=148
∴
10
x+4
[x+1]=148
∴(x+4)(x+1)=1480
∴x
2
+5x+4=1480
∴x
2
+5x−1476=0
∴x=
2×1
−5±
(5)
2
−4×1×(−1476)
∴x=
2
−5±
25+5904
∴x=
2
−5±
5929
∴x=
2
−5±77
neglecting negative root, we get,
x=
2
−5+77
∴x=
2
72
∴x=36
Step-by-step explanation: i hope it was helpfu;;
Answer:
x=0
Step-by-step explanation:
2x+4-6=
We move all terms to the left:
2x+4-6-()=0
We add all the numbers together, and all the variables
2x=0
x=0/2
x=0
Answer:
I think it's maybe $55.00
Step-by-step explanation:
Answer:
Diverges
Step-by-step explanation:
Using the ratio test to test the series: