All categories

2 years ago

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

Mathematics

2 answers:

Alekssandra [29.7K]2 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]2 years ago

4 0

Answer: C. - 16/3

Step-by-step explanation:

You might be interested in

-67b + 6 ≤ 9b + 43 solve for b

qaws [65]

Answer:

b ≥ -(37/76)

Step-by-step explanation:

5 0

2 years ago

how do i slove 5/9v+w=z, for v

nekit [7.7K]

Okay, let's do this~

we want v isolated on one side so let's bring w over through subtraction

now we have 5/9v=z-w

now, to get rid of that fraction attached to v, we will multiply it's reciprocal on both sides.

*the reciprocal of 5/9 is 9/5

(5/9) x (9/5) cancel each other leaving v isolated to the left

the other side should look like this 9/5(z-w)

now we put both parts together to end up with:

v= 9/5(z-w)

there you go! :D

3 0

2 years ago

Agent Hunt is transferring classified files from the CIA mainframe to his flash drive. The variable S models the size of the fil

amid [387]

Answer:

Step-by-step explanation:

$\bold{METHOD\ 1:}\\\\\text{Calculate the value of }S\ \text{in}\ 10s,\ 20s,\ 30s,\ ... \text{and difference if them}\\\\for\ t=10:\\\\S=5(10)+45=50+45=95\\\\for\ t=20:\\\\S=5(20)+45=100+45=145\\\\for\ t=30:\\\\S=5(30)+45=150+45=195\\\\195-145=50\\145-95=50\\\\\boxed{50\ MB\ per\ 10s}$

$\bold{METHOD\ 2:}\\\\S_1=5t+45\to \text{in t second}\\\\S_2=5(t+10)+45\to \text{10 second leter}\\\\\text{Difference}\\\\S_2-S_1=5(t+10)+45-(5t+45)=5t+50+45-5t-45=50\\\\\boxed{50MB\ per\ 10s}$

6 0

2 years ago

Read 2 more answers

A computer program contains one error. In order to find the error, we split the program into 6 blocks and test two of them, sele

Aleksandr-060686 [28]

There are $\dbinom62$ ways of selecting two of the six blocks at random. The probability that one of them contains an error is

$\dfrac{\dbinom11\dbinom51}{\dbinom62}=\dfrac5{15}=\dfrac13$

So $X$ has probability mass function

$f_X(x)=\begin{cases}\dfrac13&\text{for }x=1\\\\\dfrac23&\text{for }x=0\end{cases}$

These are the only two cases since there is only one error known to exist in the code; any two blocks of code chosen at random must either contain the error or not.

The expected value of finding an error is then

$\displaystyle\sum_{x=0}^1xf_X(x)=0\times\dfrac23+1\times\dfrac13=\dfrac13$

7 0

2 years ago

Alex, Toby and Samuel are playing a game together.

Shalnov [3]

Answer:

1/9

Step-by-step explanation:

There are three places and three people.

Times them together for the total outcomes:

1/3 x 1/3= 1/9

8 0

2 years ago