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4 years ago

Suppose the length of segment BE is 11 cm. Which is the BEST ESTIMATE for segment GH?

Mathematics

1 answer:

JulijaS [17]4 years ago

7 0

Answer: C) 5.5 cm.

Step-by-step explanation:

From the given , it can be clearly seen that in triangle DBE , G and H are the midpoints of segment DB and DE respectively.

Also, GH is parallel to BE. [By Converse of Basic proportionality theorem]

Length of BE= 11 cm.

Further more,

$\dfrac{DB}{DG}=\dfrac{BE}{GH}\\\\\Rightarrow\dfrac{2DG}{DG}=\dfrac{11}{GH}\ \ [{DG=GB,\therefore\ DB=2DG }]$

$\Rightarrow\ \dfrac{2}{1}=\dfrac{11}{GH}\Rightarrow\ GH=\dfrac{11}{2}=5.5\text{ cm}$

Hence, the BEST ESTIMATE for segment GH is 5.5 cm.

Note :

Converse of Basic Proportionality Theorem says that when a line (or a segment) divides any two sides of a triangle in equal proportion then the line ought to be parallel to the remaining third side.

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The odds in favor of jim beating a friend at golf are 1:8. find the probability that jim will win.

agasfer [191]

The probability that jim will win = P(A) = 1/9

<h3>What is probability?</h3>

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

<h3>According to the given information :</h3>

The odds in favor of jim beating a friend at golf are = 1:8

Let A be the event that Jim beating a friend golf.

So,

according to ratio, it becomes

P(A)/P(A') = 1/8

P(A) = 1x

P(A') = 8x

we know that :

P(A) + P(A') = 1

x + 8x = 1

9x = 1

x = 1/9

so that

P(A) = 1/9

P(A') = 8/9

the probability that jim will win = P(A) = 1/9

To know more about probability visit:

brainly.com/question/10735118

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2 years ago

How does the graph of y = sec(x + 3) – 7 compare with the graph of y = sec(x)?

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Given the function: y = sec(x)

If k is any positive real number, then the graph of f(x) - k is the graph of y = f(x) shifted downward k units.

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