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3 years ago

Geometry question please help

Mathematics

2 answers:

SVEN [57.7K]3 years ago

8 0

Answer:

The correct answer is second option

By SSS only

Step-by-step explanation:

From the figure we can see that, two triangles

ΔMNP and ΔMOP

The given information's are,

1). NP ≅ OM

2). MN ≅ PO

<u>To find the correct option</u>

To prove SSS congruence we need three sides .

To prove SAS congruence we need two sides and an angle between these two sides.

Here we have only three sides are given

1). NP ≅ OM ( given)

2). MN ≅ PO (given)

3). MP ≅ MP (Common)

Therefore the correct answer is second option

Ratling [72]3 years ago

3 0

Because two of the sides are identical in each triangle, that means the 3rd side would also be the same.

You could use the SSS Posulate only, since no angles are known.

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Suppose that each child born is equally likely to be a boy or a girl. Consider a family with exactly three children. Let BBG ind

Gemiola [76]

Answer:

(a)

$S = \{GGG, GGB, GBG, GBB, BBG, BGB, BGG, BBB\}$

(b)

$1\ girl = \{GBB, BBG, BGB\}$

$P(1\ girl) = 0.375$

ii.

$Atleast\ 2 \ girls = \{GGG, GGB, GBG, BGG\}$

$P(Atleast\ 2 \ girls) = 0.5$

iii.

$No\ girl = \{BBB\}$

$P(No\ girl) = 0.125$

Step-by-step explanation:

Given

$Children = 3$

$B = Boys$

$G = Girls$

Solving (a): List all possible elements using set-roster notation.

The possible elements are:

$S = \{GGG, GGB, GBG, GBB, BBG, BGB, BGG, BBB\}$

And the number of elements are:

$n(S) = 8$

Solving (bi) Exactly 1 girl

From the list of possible elements, we have:

$1\ girl = \{GBB, BBG, BGB\}$

And the number of the list is;

$n(1\ girl) = 3$

The probability is calculated as;

$P(1\ girl) = \frac{n(1\ girl)}{n(S)}$

$P(1\ girl) = \frac{3}{8}$

$P(1\ girl) = 0.375$

Solving (bi) At least 2 are girls

From the list of possible elements, we have:

$Atleast\ 2 \ girls = \{GGG, GGB, GBG, BGG\}$

And the number of the list is;

$n(Atleast\ 2 \ girls) = 4$

The probability is calculated as;

$P(Atleast\ 2 \ girls) = \frac{n(Atleast\ 2 \ girls)}{n(S)}$

$P(Atleast\ 2 \ girls) = \frac{4}{8}$

$P(Atleast\ 2 \ girls) = 0.5$

Solving (biii) No girl

From the list of possible elements, we have:

$No\ girl = \{BBB\}$

And the number of the list is;

$n(No\ girl) = 1$

The probability is calculated as;

$P(No\ girl) = \frac{n(No\ girl)}{n(S)}$

$P(No\ girl) = \frac{1}{8}$

$P(No\ girl) = 0.125$

7 0

3 years ago

Find the slope of the line that passes through the two points. (-4, -2), (-2, -1)

Nostrana [21]

Answer:

1/2

Step-by-step explanation:

(-2-(-1))/(-4-(-2))=1/2

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3 years ago

Bernice found that the slope of a trend line is –3 and a point on the trend line is (8, 10). She wanted to find the equation of

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Step-by-step explanation:

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3 years ago

2.7, #41 please. Thanks in advanced.

djverab [1.8K]

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3 years ago

Regina spent $45.50 over 612 months on music downloads.

krok68 [10]

Answer:

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Step-by-step explanation:

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7 0

3 years ago

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