Answer:
4;
25
Step-by-step explanation:
x² + 2(x)(2) + 2²
x² + 4x + 4
x² - 2(x)(5) + 5²
x² - 10x + 25
Given:
ΔABC
ΔDEF
To find:
The length of median CP
Solution:
In ΔABC,
AP = 12, BP = 12 and PC = 3x - 12
In ΔDEF,
DQ = 16, QE = 16 and FQ = 2x + 8
If two triangles are similar, then their median is proportional to the corresponding sides.


Do cross multiplication.


Add 192 on both sides.


Subtract 24x from both sides.


Divide by 24 on both sides.
⇒ 12 = x
Substitute x = 12 in CP.
CP = 3(12) - 12
= 36 - 12
= 24
The length of median CP is 24.
Answer:
= 1+2n and 63
Step-by-step explanation:
the question belongs to arithmetic sequence and
can be determined by the formula
= a1 + d (n-1)
Let "
" represents the number of band members in the nth row
and 'd' represents the common difference.( as stated each row has 2 more band members than the row before it)
therefore, d=2
'a1' represents first row that has three members. So, a1 = 3
->Rule for nth term will be:
= 3 + 2(n-1)
= 3 + 2n -2
= 1+2n
-> In order to find total number of band members '
'
Let
represent total number in n rows
We'll use the formula, i.e
= n/1 (
+
)
where, n is the number of terms,
is the first term and
is the last term
So,
n=7
= 1 + 2(7)= 15
=>
= 7/2 (3 + 15)
= 63
The total number of band members are 63
The answer is 220 because you would just have to round 1 to 2 than everytging behind it is a zero
Answer:
14
Step-by-step explanation:
Plug the 5 into the equation
2(5) + 4 = 14