After combining like terms and simplifying
we get 
Step-by-step explanation:
We need to combine like terms to simplify the expression:

Like terms: The terms are like when they have same variable and same exponent.
Solving:

So, After combining like terms and simplifying
we get 
Keywords: Solving Expressions
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Answer:
5.5 hours
Step-by-step explanation:
Since every house has an initial charge of $50, we can begin with that
($50)
Then, let's define h as the number of hours. We know every hour is $70, although the hours is yet unknown so that can be
($70 * h) or simply ($70h)
Now, we know the total should end up to be $435, so after PEMDAS the equation will be
($70h + $50 = $435).
We subtract 50 from both sides so now we have $70h = $385.
Now we divide both sides by 70, giving us h = 5.5. Hope it helped!
For a), this is clearly a given as it is literally to the right of where it says “Given:”
For b), since ON bisects ∠JOH, this means that it splits it into two separate angles - JON and HON, which are similar due to that bisects mean that it splits it equally into two halves
For c), since NO is the same thing as NO, it is equal to itself
For d), since AAS (angle-angle-side) congruence states that if there are two angles that are congruent (proved in a) and b) ) as well as that a side is congruent (proved in c) ), two triangles are congruent
For e), since two triangles are congruent, every side must have one side that it matches up to in the other triangle. As the opposite side of angle H is JO and the opposite side of angle J is OH, and ∠J=∠H, those two are congruent. As JN and HN are the two sides left, they must be congruent.
Feel free to ask further questions!
Answer:
A
Step-by-step explanation:
hope its helpful :)
Step-by-step explanation:
it seems we are dealing with multiplication, as the distances between the numbers get bigger and bigger.
and then I see
7 × 2 = 14
14 × 2 = 28
28 × 2 = 56
ok, so the sequence is created by always multiplying by 2.
a1 = 7
a2 = a1 × 2 = 7 × 2 = 14
a3 = a2 × 2 = a1 × 2 × 2 = 7 × 2 × 2 = 28
an = an-1 × 2 = a1 × 2^(n-1) = 7 × 2^(n-1)
a14 = 7 × 2¹³ = 7 × 8192 = 57,344