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3 years ago

Consider the first four terms of an arithmetic sequence below.

Mathematics

1 answer:

VMariaS [17]3 years ago

6 0

7, 13, 19 and 25 have a common difference: 6.
6 added to 7 gives us 13; 6 added to 13 gives us 19, and so on.

Explicit formula: a(n) = 7 + 6(n-1), where 7 is the first term and n is the counter (1, 2, 3, ...).

The first term is 7 (given). This corresponds to n=1.

The second term is a(2) = 7 + 6(2-1), or 7 + 6, or 13. This corresponds to n = 2.

and so on.

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90 POINTS!!!!! Given: KLIJ inscr. in k(O),m∠K = 64°, measure of arc LI = 69°, measure of arc IJ = 59°, measure of arc KJ =97°

Kay [80]

In any cyclic quadrilateral, angles opposite one another are supplementary, meaning

$m\angle K+m\angle I=m\angle L+m\angle J=180^\circ$

and given that $\boxed{m\angle K=64^\circ}$ , we have $\boxed{m\angle I=116^\circ}$ .

By the inscribed angle theorem,

$m\angle JLK=\dfrac12m\widehat{KJ}$

$m\angle ILJ=\dfrac12m\widehat{IJ}$

and since

$m\angle L=m\angle JLK+m\angle ILJ$

we have

$m\angle L=\dfrac{97^\circ+59^\circ}2\implies\boxed{m\angle L=78^\circ}$

and it follows that

$m\angle J=180^\circ-m\angle L\implies\boxed{m\angle J=102^\circ}$

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3 years ago

Mr.Beard bought 10 acres of land.She plans to divide the land into smaller lots that are each 1/20 of an acre. How many smaller

Tasya [4]

Answer:

200 smaller lots

Step-by-step explanation:

10 ÷ 1/20 = 200

7 0

3 years ago

Joseph needs 345 cement blocks to build a wall 40 cm thick. He needs 205 cement blocks to build a wall 25 cm thick. Each block c

IrinaVladis [17]

9514 1404 393

Answer:

$105

Step-by-step explanation:

The thicker wall takes 345 -205 = 140 more blocks. Each of those costs $0.75, so the added blocks will cost ...

140 × $0.75 = $105

The thicker wall will cost $105 more.

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3 years ago

Is y = 3x+4 and y=3x-5 parallel, perpendicular or neither?

sineoko [7]

Answer: These Lines are <em>Parallel</em>

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3 years ago

Read 2 more answers

Multiply.<br> Your answer should be a monomial in standard form.<br> (-9n^3)(n^3)

ratelena [41]

Answer:

-9n^6

Step-by-step explanation:

(−9n^3)(n^3)

=(−9) * n^3 * n^3

=−9 * n^6

=−9n^6

5 0

3 years ago