Answer:
12x-2
Step-by-step explanation:
Since x, 2x, 3x contain numbers and variables, it takes two steps to find the LCM. Find the LCM for the numerical part 1; 2; 3; then find the LCM for the variable part x¹ ; x¹; x¹.
The LCM is the smallest number by which all numbers are divided without leaving a remainder.
- List the prime factors of each number.
- Multiply each factor the greatest number of times that occurs in any of the numbers.
The number 1 is not a prime number because it only has one positive factor, which is itself.
not cousin.
Since 2 has no divisors other than 1 and 2.
2 is a prime number.
Since 3 has no divisors other than 1 and 3.
3 is a prime number.
The least common multiple LCM of 1,2,3 is the result of multiplying all the prime factors the greatest number of times that appear in each term.
2 × 3
Multiply 2 by 3.
6
The factor for x¹ is x itself.
x¹ = x
The Least Common Multiple LCM of x¹ ; x¹; x¹ is the result of multiplying all the prime factors the greatest number of times that appear in each term.
x
The LCM for x;2x;3x is the numerical part 6 multiplied by the variable part.
6x ====> Answer
Answer:
The age of E is 40
Step-by-step explanation:
When E didn't join them, the average age was 30,that is six years ago. But present making 36.
But when E joined, the average age is now 40.
Answer with explanation:
Given: △ABC is an isosceles triangle with legs AB and AC.Also, △A Y X is also an isosceles triangle with legs A Y and AX.
To Prove: △ABC ~ △A Y X
Proof with Statement
1. △ABC is isosceles with legs AB and AC; △A Y X is also isosceles with legs A Y and AX.
2.AB ≅ AC and A Y ≅ AX.→definition of isosceles triangle
3.AB = AC and A Y = AX →→ definition of Congruency.
4.→→A Y × AC=AX × AC⇒[Multiplication property of equality]
5.≡A Y × AC=AX × AB⇒[Substitution property of equality]
----------------[Division property of equality]
7.Also, ∠A is common angle between two triangles.That is,
∠A=∠A------------[Reflexive property]
⇒Missing statement and Reason in the entire proof.
8.△ABC ~ △AYX----[SAS]
