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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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If one pair of adjacent sides of a parallelogram is congruent, then the parallelogram must be a __________.
lubasha [3.4K]

It must be a rhombus, because that's the parallelogram with all sides equal.

It could be a square, but it doesn't have to be.  A square is a rhombus
with special angles.


3 0
3 years ago
Plz help me, it's urgent​
antiseptic1488 [7]
The answer is this!

6 0
3 years ago
Oliver has 3 times as many rocks in his collection as Katie. Then Oliver collected 75 more rocks and Katie collected 105 more ro
Evgesh-ka [11]

Answer:

The answer to your question is Katie had 15 rocks and Oliver 45 rocks.

Step-by-step explanation:

Conditions

Katie has x amount of rocks

Oliver has 3x amount of rocks

The final amount of rocks

                                    Oliver = 3x + 75

                                     Katie = x + 105

Now, they have the same amount of rocks, then we can equal both equations

                                   3x + 75 = x + 105

Solve for x

                                     3x - x = 105 - 75

                                           2x = 30

                                             x = 30/2

                                             x = 15

Conclusions

At first Katie had 15 rocks and Oliver had 3(15) = 45 rocks

5 0
3 years ago
Read 2 more answers
A basketball player has made 6060​% of his foul shots during the season. Assume the shots are independent. ​
motikmotik

Answer:

a) 2.5 shots

b) 59.4 shots

c) 4.87 shots

Step-by-step explanation:

Probability of making the shot = 0.6

Probability of missing the shot = 0.4

a) The expected number of shots until the player misses is given by:

E(X) = \frac{1}{P(X)}=\frac{1}{0.4}  \\E(X) = 2.5\ shots

The expected number of shots until the first miss is 2.5

b) The expected number of shots made in 99 attempts is:

E=99*0.6\\E=59.4\ shots

He is expected to make 59.4 shots

c) Let "p" be the proportion shots that the player make, the standard deviation for n = 99 shots is:

s=\sqrt{n*p*(1-p)}\\ s= 4.87\ shots

The standard deviation is 4.87 shots.

7 0
3 years ago
Given f(x)=4X+9, find the equation for f^-1(x)
Ilia_Sergeevich [38]

Answer:

4x+9 if that's not what u needed I can graph it for you too

6 0
3 years ago
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