Simplify 9 + 7 + n. n + 17 n + 16 16n
2 answers:
Answer:
B) n + 16
Step-by-step explanation:
We are given the expression 9 + 7 + n.
Here we need to simplify.
Simplify means we need to simplify the like terms.
Let's see what a like term is.
If we have the same variable with the same exponent, then they are called like terms.
The constants are the like terms, we can simplify them.
Examples:
2xy, -3xy are the like terms
are like terms
4, 5, -7, 8 are the like terms.
In the given expression 9 + 7 + n
The like terms are 9 and 7. There are in the operation of addition. So we can add them.
So, 9 + 7 + n
= 16 + n
This can be written as n + 16 by commutative property of addition.
Therefore, the answer is B) n + 16
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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.