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3 years ago

What is the value of x in the figure below in this diagram abd cad.

Mathematics

2 answers:

Alekssandra [29.7K]3 years ago

5 0

Answer:

Option C.

Step-by-step explanation:

Given information: $\triangle ABD\sim \triangle CAD$ , AB=12, BD=x, BC=27.

In triangle ABC and triangle DBA,

$\angle BAC=\angle BDA=90^{\circ}$

$\angle ABC=\angle DBA$ (Reflexive property)

By AA property of similarity triangle ABC and triangle DBA are similar.

The corresponding parts of similar triangles are proportional.

$\dfrac{AB}{CB}=\dfrac{BD}{BA}$

$\dfrac{12}{27}=\dfrac{x}{12}$

Multiply both sides by 12.

$\dfrac{12}{27}\times 12=\dfrac{x}{12}\times 12$

$\dfrac{144}{27}=x$

$\dfrac{16}{3}=x$

Therefore, the correct option is C.

Annette [7]3 years ago

4 0

Answer: C. - 16/3

Step-by-step explanation:

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3 years ago

On a coordinate plane, a triangle is reflected across y = negative 2.

AleksandrR [38]

Answer:

The answer will be D.y=-2

Step-by-step explanation:

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3 years ago

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I need help this Question

Delicious77 [7]

Using the combination formula, it is found that the number of ways to choose the presenters is given by:

C. 462.

The order in which the presents are chosen is not important, hence the <em>combination formula</em> is used to solve this question.

<h3>What is the combination formula?</h3>

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem, 6 students are chosen from a set of 11, hence the number of ways is given by:

$C_{11,6} = \frac{11!}{6!5!} = 462$

More can be learned about the combination formula at brainly.com/question/25821700

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2 years ago

Josh works for The Milkshake Diner. The company wants to know which milkshake flavor is the most popular. Today, he surveyed

AlekseyPX

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3 years ago

0.2.0.4, 0.6, 0.8, 1....<br> Arithmetic or geometric

Basile [38]

Arithmetic sequences have a common difference between consecutive terms.

Geometric sequences have a common ratio between consecutive terms.

Let's compute the differences and ratios between consecutive terms:

Differences:

$0.4-0.2 = 0.2,\quad 0.6-0.4=0.2,\quad 0.8-0.6=0.2,\quad 1-0.8=0.2$

Ratios:

$\dfrac{0.4}{0.2}=2,\quad \dfrac{0.6}{0.4} = 1.5,\quad \dfrac{0.8}{0.6} = 1.33\ldots, \quad\dfrac{1}{0.8}=1.25$

So, as you can see, the differences between consecutive terms are constant, whereas ratios vary.

So, this is an arithmetic sequence.

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3 years ago