Answer:
LCM = 4590
Step-by-step explanation:
1. Find the prime factorization of 306
306 = 2 × 3 × 3 × 17
2. Find the prime factorization of 270
270 = 2 × 3 × 3 × 3 × 5
3. Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2 × 3 × 3 × 3 × 5 × 17
Answer:
Kelsey is correct.
Step-by-step explanation:
One of the rules when solving an equation is that you need to isolate the variable, meaning that it just needs to be x by itself. To do that, you would need to start by subtracting 6. If you were to divide by 3 first, the answer would be twice what it should be.
Answer:
Step-by-step explanation:
Given
Required
Convert to fraction
To do this, we simply multiply the fraction by 100%
This gives:
The expression cannot be further simplified.
Take for instance the fraction is: 
Using the same analysis, the percentage would be:
Answer:
m∠UQT = 52°
m∠UTQ = 42°
x = 1
Step-by-step explanation:
∠UQT is an alternate interior angle of ∠RSQ
Therefore, ∠UQT is 52°
∠UTQ is an alternate interior angle of ∠URS
Therefore, ∠UTQ is 42°
The diagonals of a parallelogram are congruent, so 4x + 1 is 5
-Chetan K
Answer:
A
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x)
= 3x - 2 + 2x + 1 ← collect loke terms
= 5x - 1 → A
