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kramer
3 years ago
13

In an arithmetic sequence, the seventh term is −9 and the nineteenth term is 39.

Mathematics
1 answer:
fomenos3 years ago
6 0

Answer:

d = 4

Step-by-step explanation:

a7 = -9

a19 = 39

We know the formula for an arithmetic sequence is

an = a1+d(n-1)

Using the givens:

a7 = -9 = a1 +d(7-1)

a19 = 39 =a1 +d(19-1)

Subtracting these equations

-9 = a1 +d(6)

39 =a1 +d(18)

------------------------

-48 = 0 -12 d

Divide by -12

4 =d

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In a right triangle, one of the exterior angles measures 155°. What is the measure of the non-adjacent, non-right angle?
Maru [420]
Supplementary angles equal to 180
So, adjacent angle + exterior angle = 180
adjacent angle = 180 - 155 = 25

Now, non-adjacent + adjacent = 90
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So 65 degrees is your answer. 

3 0
4 years ago
Find a formula for the sum of the first n even integers : 2 + 4 + 6 + ... + 2n.
Sedbober [7]

Let S be the sum,

S = 2 + 4 + 6 + ... + 2 (n - 2) + 2 (n - 1) + 2n

Reverse the order of terms:

S = 2n + 2 (n - 1) + 2 (n - 2) + ... + 6 + 4 + 2

Add up terms in the same positions, so that twice the sum is

2S = (2n + 2) + (2n + 2) + (2n + 2) + ... + (2n + 2)

or

2S = n (2n + 2)

Divide both sides by 2 to solve for S :

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7 0
2 years ago
What is 578 times 27 Do not give answer if u aint doin step by step
Bas_tet [7]

Answer:

15606

Step-by-step explanation:

578 × 27

578

×27

4046

+1156

15606

4 0
3 years ago
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