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3 years ago

Find the coordinates of the missing endpoint if B is the midpoint of AC. C(-6,-2),B(-3,-5)

Mathematics

1 answer:

Margaret [11]3 years ago

5 0

Answer:

A = (0, -8)

Step-by-step explanation:

B = (A+C)/2 . . . . the midpoint is the average of the end points

A = 2B -C = 2(-3, -5) -(-6, -2) . . . solve for A, substitute point values

A = (0, -8)

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vladimir2022 [97]

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

m<RUN and m<TUP

Part 9) Supplementary angles

m<SUT and m<TUQ

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Part 11) m<RUQ is greater than m< TUR

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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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