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SSSSS [86.1K]
3 years ago
5

50 points! name the postulate or theorem .

Mathematics
2 answers:
Agata [3.3K]3 years ago
8 0
NM = OP=hypotenuse

NHM=Ohm=90

MH = HP



the HL theorem is the answer
irina1246 [14]3 years ago
6 0
Answer: 
Choice B) HL Theorem

========================================================

Explanation:

NP is perpendicular to OM. The upside-down T shape means "perpendicular". So we have the two right angles NHM and OHP which are both 90 degrees (so they are congruent to one another). This further means triangle NHM and triangle OHP are right triangles. 

Because they are right triangles, this means we can use the special right triangle congruence properties. Specifically we can use the HL Theorem. HL stands for "Hypotenuse Leg". We're given NM = OP, which are the two corresponding hypotenuses. Since HMP is isosceles with base MP, this means HM = HP which are the corresponding congruent legs. We have a pair of hypotenuses and a pair of legs congruent; therefore, the triangles are congruent by the HL Theorem.
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Derive the equation of the parabola with a focus at (_5, 5) and a directrix of y = -1.
mars1129 [50]

Answer: Option D is correct.

Step-by-step explanation:

Since we have given that

focus = (-5,5)

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Since, equation of parabola in this case will be

(x-h)^2=4.a(y-k)

Now, here

y=k-a=-1\\\\\text { focus =(h,k+a)}\\\\\text{So,} k+a=5\\\\\text{ by solving these two equation , we get }\\\\a=3\text{ and } k=2

So equation will be

(x+5)^2=4\times 3(y-2)\\\\(x+5)^2=12(y-3)\\\\y=\frac{1}{12}(x+5)^2+2

So, option D is correct .

4 0
3 years ago
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In a pack of 52 cards, 4 of the cards are kings. the first card is picked, the results are recorded and the card is returned to
Ulleksa [173]
Total cards = 52

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P(2 kings) = (4/52)(4/52) = 1/169

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8 0
3 years ago
14.36 rounded to the nearest tenth
Finger [1]

Answer:

14.4

Step-by-step explanation:

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3 0
3 years ago
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skelet666 [1.2K]

Answer:

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6 0
3 years ago
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Norma-Jean [14]
36j + j = 37j

Explanation.
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The sum will then be 36 apples + apple = 37 apples.
Replacing the word (in this explanation 'apple') by a letter learns us 36a + a = 37a

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8 0
3 years ago
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