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Hoochie [10]
3 years ago
9

Point M is in the exterior of an angle AOB, ray OC is a bisector of this angle. Prove, that the measure of angle MOC is equal to

one-half the sum of the measures of angles AOM and BOM.
Mathematics
1 answer:
myrzilka [38]3 years ago
3 0

Answer:

see the prove below

Step-by-step explanation:

<u>We have to prove that </u><u>MOC=(AOM+BOM)/2</u>

Let Angle AOM=x and AOC=y .  => AOB=2y ( because OC is the bisector of AOB)

So MOC= AOM+AOC=x+y

BOM=AOB+AOM=2y +x

AOM+BOM= x+2y+x=2y+2x

(AOM+BOM)/2= (2y+2x)/2=x+y=MOC

The statement is proved

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3 years ago
An architect plans to build an extension to​ Meiling's rectangular deck. Let x represent the​ increase, in​ meters, of her​ deck
elena-14-01-66 [18.8K]

Complete question is;

An architect plans to build an extension to meiling's rectangular deck. Let x represent the increase, in meters, of her deck's length. The expression 4(x+8) represents the area of the deck, where 4 is the width, in meters, and (x+8) represents the extended length, in meters. Use distributive property to write an expression that represents the total area of meilings new deck.

Answer:

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Step-by-step explanation:

We are told that the expression 4(x+8) represents the area of the deck.

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Using distributive property simply means we will distribute the term outside the bracket to each term inside the bracket.

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8 0
3 years ago
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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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7 0
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