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sertanlavr [38]
3 years ago
6

Is xyz congruent to abc ? If so, name the postulate that applies

Mathematics
2 answers:
Amiraneli [1.4K]3 years ago
6 0

Answer:

Option D.

Step-by-step explanation:

In the figure attached ΔXYZ  ≅ ΔABC

Given :   ∠Y ≅ ∠B

              XY ≅ AB

              YZ ≅ BC

So sides XY and YZ of ΔXYZ are congruent to sides AB and BC, and angle between them are congruent.

Therefore, postulate for congruence applied will be SAS.

Option D is the answer.

saveliy_v [14]3 years ago
5 0

Answer:

D. Congruent -  SAS  (Side - Angle - Side)

Step-by-step explanation:

We have

XY ≅ AB    (side)

∠Y ≅ ∠B   (angle)

YZ ≅ BC    (side)


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Simplify completely (h^12 /h^4) ^3
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Answer:

h^24

Step-by-step explanation:

h^12 divided by h^4 is h^8 according to the rule of exponent because if you divide the two terms that have the same base but different exponents, you have to subtract the exponent number. 12-4=8.

(h^8)^3 is h^24 because again according to the rule of exponent you have to multiply the two exponents together, and 8 * 3 is 24.

The simplified expression is h^24.

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Graph of a line with the points (4, 3) and (4, –2) plotted.
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D. X=4 is the answer
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The area of a rectangular rug is given by the trinomial r^2-3r-10. What are the possible dimensions of the​ rug? Use factoring.
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The probability that a mature hen will lay an egg on a given day is 0.80. Hannah has 12 hens. What is the probability that 10 of
OleMash [197]

Answer: 0.28

Step-by-step explanation:

Binomial probability formula :

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Let x = Number of hens lay eggs.

then, p=  0.80

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For x=10

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3 0
3 years ago
Read 2 more answers
What are the vertex and x-intercepts of the graph of y=x2-2x-24
valentina_108 [34]

Answer:

Vertex (1,-25), Intercepts at (6,0) and (-4,0)

Step-by-step explanation:

Axis of symmetry = -b/2a = -(-2)/2(1) = 2/2 = 1 so x=1 is the equation of line

Plug x=1 into equation y=1-2-24=-25

factor for x-intercepts:  (x-6)(x+4)

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3 0
4 years ago
Read 2 more answers
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