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3 years ago

Somebody please help meeeee pt.2

Mathematics

1 answer:

rosijanka [135]3 years ago

8 0

Answer:

See explanation

Step-by-step explanation:

Consider the sequence 10, 6, 2, -2, -4, ...

Rewrite it as

$a_1=10,\\ \\a_2=6,\\ \\a_3=2,\\ \\a_4=-2,\\ \\a_5=-6,...$

The points on the coordinate plane are

$(1,a_1),\ (2,a_2),\ (3,a_3),\ (4,a_4),\ (5,a_5),...$ (see attached graph).

Since

$4=a_2-a_1=a_3-a_2=a_4-a_3=a_5-a_4=...,$ given sequence is arithmetic.

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Answer:

Part 7) Adjacent angles

m<SUR and m<RUN

m<TUP and m<PUQ

Part 8) Vertical acute angles

m<SUR and m<PUQ

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Part 9) Supplementary angles

m<SUT and m<TUQ

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Part 13) $m$

Step-by-step explanation:

Part 7) we know that

we know that

Two angles are Adjacent when they have a common side and a common vertex

In this problem

m<SUR and m<RUN ----> are adjacent angles

because have a common side UR and a common vertex U

m<TUP and m<PUQ ----> are adjacent angles

because have a common side UP and a common vertex U

Part 8) we know that

An angle is acute when is measure is less than $90$ degrees

Vertical Angles are the pair of congruent angles opposite each other when two lines cross

In this problem

$m$ ------> by vertical angles

Part 9) we know that

Two angles are supplementary if its sum is equal to $180$ degrees

In this problem

$m$ ------> by supplementary angles

Part 10) Find m<QUR

we know that

$m$ ------> by supplementary angles

we have

$m$

substitute

$41\°+m$

$m$

Part 11) which is greater m<TUR or m< RUQ

we know that

m<TUR=m<TUS+m<SUR

substitute the values

$m$

$m$ ----> see the procedure problem 10

therefore

m<RUQ is greater than m< TUR

Part 12) Find the measure angle x

$4x=84\°$ ------> by vertical angles

solve for x

$x=84\°/4=21\°$

Part 13) m<KMH

we know that

$m$ -----> by supplementary angles

$m$

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3 years ago

Somebody please help meeeee pt.2​

Somebody please help meeeee pt.2