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kati45 [8]
3 years ago
10

Name the postulate or theorem you can use to prove NPM=OMP

Mathematics
1 answer:
Katarina [22]3 years ago
4 0

Answer:

ΔNPM and ΔOMP by SAS postulate

B is correct

Step-by-step explanation:

In ΔNPM and ΔOMP

    NP = OM              (Given)

∠NPM = ∠OMP         (Given)

     PM = MP              ( Common )

So, ΔNPM ≅ ΔOMP by SAS property of concurrency.

ΔNPM and ΔOMP are congruent because their two side and angle between them are equal.

Therefore, SAS postulate use here

Hence, ΔNPM and ΔOMP by SAS postulate

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Answer:

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Step-by-step explanation:

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8 0
3 years ago
"Complete the square" to convert the equation of each circle to graphing form. Identify the center and the radius.
Reil [10]

Answer:

The center is (-3,2) and the radius is r=2

Step-by-step explanation:

The general equation of the given circle is

x^2+6x+y^2-4y=-9

Add the square of half the coefficient of the linear terms to both sides of the equation to obtain;

x^2+6x+3^2+y^2-4y+(-2)^2=-9+3^2+(-2)^2

x^2+6x+9+y^2-4y+4=-9+9+4

x^2+6x+9+y^2-4y+4=4

The quadratic trinomials in x and y on the left side of the equations are perfect squares.

We factor to obtain;

(x+3)^2+(y-2)^2=4

(x--3)^2+(y-2)^2=2^2

Comparing to:

(x-h)^2+(y-k)^2=r^2

The center is (-3,2) and the radius is r=2

8 0
3 years ago
If a pyramid has a height of 10 in. and a base with an area of 90 in² , what is the volume of the pyramid?
harkovskaia [24]

Answer:

300 in³

Step-by-step explanation:

By definition, volume of a pyramid,

= (Base Area x height ) / 3

= (90 x 10) / 3

= 900/3

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3 0
3 years ago
Marcella bought a 25-ounce bottle of olive oil for $5.88. She used 60% of the olive oil in two weeks. What is the cost of the pe
horrorfan [7]
The answer is $3.53
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5 0
3 years ago
-1y + 11= 20 what is the answer 3 or -3
yan [13]

Answer:

-9

Step-by-step explanation:

-1y+11=20

    -11= -11

-1y=20-11

-1y=9

-9

8 0
3 years ago
Read 2 more answers
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