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2 years ago

Given: <A and <B are complementary.

Mathematics

1 answer:

andrezito [222]2 years ago

5 0

Answer:

Step-by-step explanation:

Complementary angles add to 90 degrees

A+B =90

5x+22 + 10x+8 = 90

Combine like terms

15x + 30 = 90

Subtract 90 from each side

15x +30-30 = 90-30

15x = 60

Divide by 15

15x/15 = 60/15

x =4

B = 10x+8

=10*4+8

= 40+8

= 49

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Gekata [30.6K]

Answer:

$a_n = -11 +3(n -1)$

Explanation:

The $n$ th term of an arithmetic sequence is explicitly defined as $a_n = a_1 +d(n -1)$ where $a_1$ is the first term of the sequence and $d$ is the the common difference.

From the given first five terms of the sequence we can see that the first term is $11$ so $a_1 = 11$ .

The common difference, $d$ , can be calculated by $a_n - a_{n -1}$ so we'll find the common difference of the given sequence by letting $n = 2$

$d = a_2 - a_{2 -1} \\d = a_2 -a_{1} \\d = -8 -(-11) \\ d = -8 +11 \\ d = 3$ .

Now let's plug everything we know.

$a_1 = -11$

$d = 3$

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Step-by-step explanation:

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