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2 years ago

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

Mathematics

1 answer:

Katarina [22]2 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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What is the length of AC?

Otrada [13]

Answer:

Length of AC = 12units.

Step-by-step explanation:

$\sf\large{\star Given:-}$

Hypotenuse of the triangle = $\sf\pink{10\:units.}$
Height of the triangle = $\sf\pink{8 \: units.}$

$\sf\large{\star To\: Find:-}$

$\rightarrow$ Base of the triangle.

$\sf\large{\star Solution:-}$

$\rightarrow$ As we know that,

Pythagoras Theorem:

$\sf\blue{Hypotenuse^2\:=\: Height^2+Base^2}$

So, In triangle ABD by putting the value of hypotenuse and height in this formula we get,

$\rightarrow$ $\sf{10^2\:=\: 8^2 + Base^2}$

$\rightarrow$ $\sf{100\:=\: 64 + Base^2}$

$\rightarrow$ $\sf{100-64\:=\: Base^2}$

$\rightarrow$ $\sf{36\:=\: Base^2}$

$\rightarrow$ $\sf{\sqrt{36}\:=\: Base}$

$\rightarrow$ $\sf{6\:=\: Base}$

Since, it is given that BD is the perpendicular bisector of AC so length of AC will be doubled.

Therefore, length of AC of the given triangle = $\sf\purple{12units.}$

7 0

2 years ago

Simplify: |-46.09 + 51.64| + |18.08 – 21.52| A. 2.11 B. 3.44 C. 5.55 D. 8.99

guapka [62]

The answer is 2.11.
For negtives i always subtract the numbers: 51.64-46.09
That always helps me

3 0

3 years ago

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padilas [110]

Answer:

Step-by-step explanation:

I might be wrong with this one and I'm sorry if I am this was never my strong point but I believe it is C cause each mouth they have another bunny so that would be rising.

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2 years ago

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inna [77]

Answer:

wow I miss X. Moonlight slapped. Long Live Jah man. "spotlight uh, moonlight, uh, n***a why you trippin get your mood right uh" -Xxxtentacion

Step-by-step explanation:

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2 years ago

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5x - 1 +5x 1.1 2.10x-1 3.11x 4.-1

Verdich [7]

Answer:

the answer is 2 coz it's like terms

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2 years ago