Answer:
LN = 16
Step-by-step explanation:
MO bisects LN into two equal parts (If you see a triangle MNL, the line in the middle 5y - 8 is a median. This means x + 6 = 4x)
x + 6 = 4x
3x = 6
x = 2
Substitute x
LN = 2 + 6 + 8 = 16
LN = 16
Hope this helps :)
Have a nice day!
Answer:
By long division (x³ + 7·x² + 12·x + 6) ÷ (x + 1) gives the expression;
Step-by-step explanation:
The polynomial that is to be divided by long division is x³ + 7·x² + 12·x + 6
The polynomial that divides the given polynomial is x + 1
Therefore, we have;
(x³ + 7·x² + 12·x + 6) ÷ (x + 1) = x² + 5·x + 7 Remainder -1
Expressing the result in the form 
, we have;
Answer: 
Step-by-step explanation:
You need to use this formula:
Where 
is the nth] term, 
is the first term,"n" is the term position and "d" is the common diference.
You must find the value of "d". Substitute 
, 
and 
into the formula and solve for "d":
Now, you can calculate the 25th term substituting into the formula these values:
and 
Then you get:
(7*4)3n is the algebraic expression:)
Answer:
1. VW = 22
2. x = 87
Step-by-step explanation:
Question 1:
SU = 11 (given)
SU = ½(VW) => midsegment theorem
11 = ½(VW) => Substitution
Multiply both sides by 2
2*11 = VW
VW = 22
Question 2:
UV = x + 13
RT = x - 37
RT = ½(UV) => Midsegment Theorem
x - 37 = ½(x + 13) => Substitution
Multiply both sides by 2
2(x - 37) = x + 13
2x - 74 = x + 13
2x - 74 + 74 = x + 13 + 74
2x = x + 87
2x - x = x + 87 - x
x = 87
