Let's try to find some primes that divide this number.
The number is not divisible by 2, because it is odd.
The number is divisible by 3 though, because the sum of its digits is:
So, we can divide the number by 3 and keep going with the factorization:
This number is again divisible by 3, because
We have
This number is no longer divisible by 3. Let's go on looking for primes that divide it: 5 doesn't because the number doesn't end in 0 nor 5. This number is not divisible by 7 or 11 either (just try). It is divisible by 13 though: we have
And 557 is prime, so we're done. This means that the prime factorization of 65169 is
Answer:
2 2/5 inches
Step-by-step explanation:
3/5 x 4
3/5 x 4/1
3/5 x 4/1 = 12/5
12/5 = 2 2/5
Answer:
the goal is to try and get x alone. For the 1st problem, x=3.
Step-by-step explanation:
3x + 1 = 10 Subtract 1 both sides to cancel out the 1 on the left side. 10-1 = 9
3x = 9 To get x alone here, Divide 3 on both sides. 9/3 = 3
x = 3 Now x is alone, which means x = 3.
This is right because if you plug x with 3, the sum = 10.
(3*3) + 1 =10
9 + 1 = 10
So, that's how you know 3 is the right answer.
Option 3:
m∠ABC = 66°
Solution:
Given 
and ABH is a transversal line.
m∠FAB = 48° and m∠ECB = 18°
m∠ECB = m∠HCB = 18°
<u>Property of parallel lines:
</u>
<em>If two parallel lines cut by a transversal, then the alternate interior angles are equal.</em>
m∠FAB = m∠BHC
48° = m∠BHC
m∠BHC = 48°
<u>Exterior angle of a triangle theorem:
</u>
<em>An exterior angle of a triangle is equal to the sum of the opposite interior angles.</em>
m∠ABC = m∠BHC + m∠HCB
m∠ABC = 48° + 18°
m∠ABC = 66°
Option 3 is the correct answer.
