Answer:
n+3
Step-by-step explanation:
1/2 × 2(n+3)=n +3
I hope this helps
Step-by-step explanation:
<h2><u>➤ </u><u>Solution :-</u></h2><h2>a)</h2>
Given monomials are 21 xy³ and 24x²y²
21 xy³ = 3×7×x×y×y×y
24x²y² = 3×8×x×x×y×y
HCF of 21xy³ and 24x²y²
=> 3×x×y×y
=> 3xy²
HCF of 21xy³ and 24x²y² = 3xy²
<h2>b)</h2>
Given monomials are 18 ab and 36abc
18 ab = 18×a×b
36abc = 2×18×a×b×c
HCF of 18 ab and 36abc
=> 18×a×b
=> 18ab
HCF of 18 ab and 36abc = 18ab
<h2>c)</h2>
Given monomials are 4p³q²r , -12pqr² and 16p²q²r²
4p³q²r = 4×p×p×p×q×q×r
-12pqr² = -3×4×p×q×r×r
16p²q²r² = 4×4×p×p×q×q×r×r
HCF of 4p³q²r , -12pqr² and 16p²q²r²
=> 4×p×q×r
=> 4pqr
HCF of 4p³q²r , -12pqr² and 16p²q²r² = 4pqr
<h2><u>Used Concept :-</u></h2>
→ The HCF of two or more numbers is the highest Common factor
→ The product of least common factors is the HCF of the numbers
1. You have that Chris used 18 gallons of gas in 420 miles.
2. Therefore: If Chris drove 420 miles using 18 gallons of gas, how many gallons would in 357 miles?
3. Let's call "x" to the amount of gallons he need to drive 357 miles. So, you have:
420 miles----18 gallons
357 miles-----x
x=(357)(18)/420
x=6426/420
x=15.3 gallons
AC+CE=AE
Pythagorean theorem is a big part of this problem. a^2+b^2=c^2
Part AC
8^2+6^2=c^2
64+36= 100
c^2 =

or
5^2 to match c^2.
Part CE
It is similar to the other one. It's just scaled. 6 to 8, 4 to....6
4^2+6^2=c^2
16+36=52
c^2 =

It is not a perfect square. So that will be the answer.