Answer: choice A) 7017
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Work Shown:
The first term is a_1 = 24 and we go up by 7 each time.
The common difference is d = 7
The nth term formula we'll use is
a_n = a_1 + (n-1)*d
a_n = 24 + (n-1)*7
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The 1000th term corresponds to n = 1000
Replace every n with 1000
Then use the order of operations (PEMDAS) to simplify
a_n = 24 + (n-1)*7
a_1000 = 24 + (1000-1)*7
a_1000 = 24 + (999)*7
a_1000 = 24 + 6993
a_1000 = 7017
I can't see the options, but you would need to multiply (4x - 2y = 7) by 3, and (3x - 3y = 15) by 4 so that you get 12x in both equations. Then when you subtract, you eliminate 12x. I hope this helps!
Answer:
Δ HGI ≅ ΔEDF
Step-by-step explanation:
Given:
Δ DEF ≅ Δ GHI
From the given congruence statement we can figure out the corresponding sides that are congruent.
The arrangement shows:
So the rearranged statement can be written as:
ΔEDF ≅ Δ HGI
or
∴ Δ HGI ≅ ΔEDF
The answer is 9/28. Double check my work
