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3 years ago

What is the measure of angle x?

Mathematics

1 answer:

artcher [175]3 years ago

7 0

Angle 56 is vertical to the blank angle so that means they are equal.

So now 56, 41 and x create a straight line, so they are equal to 180.

180 = 56 + 41 + x
180 = 97 + x
83 = x

Hope this helps :)

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3 years ago

use the explicit formula an = a1 + (n - 1) * d to find the 500th term of the sequence below. 24,30,36,42,48,... A. 3018 B. 3042

marishachu [46]

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Option A.

Step-by-step explanation:

The given sequence is

24, 30, 36, 42, 48, ...

It is an AP. Here,

First term = 24

Common difference = 30-24 = 6

The given explicit formula for nth term is

$a_n=a_1+(n-1)d$

where, $a_1$ is first term, d is common difference.

Substitute $a_1=24, d=6 \text{ and }n=500$ in the above formula.

$a_{500}=24+(500-1)(6)$

$a_{500}=24+(499)(6)$

$a_{500}=24+2994$

$a_{500}=3018$

The 500th term of the sequence is 3018.

Therefore, the correct option is A.

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3 years ago