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3 years ago

Given that Triangle ABC ~ DEF, solve for x.

Mathematics

2 answers:

Finger [1]3 years ago

6 0

You have the answer it's 4 since the big one is 6 times bigger 4 times 6 = 24

attashe74 [19]3 years ago

5 0

ANSWER

Given that Δ ABC ~ ΔDEF

solve for x

To proof

as given in the question

ΔABC ~ ΔDEF

this means their sides are proportional to each other.

thus

$\frac{AB}{AC} = \frac{ED}{DF}$

As given

AB = 30unit

AC = 24unit

ED = 5unit

DF = x

put in the above

$x = \frac{5\times24}{30}$

solving

x = 4 unit

option (C) is correct

Hence proved

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Simplify (-x^2 – 28x + 7) + (-7x^2 + 14x + 8).

Anon25 [30]

Add numbers with the same amount of variables

-x^2 + (-7x^2) = -8x^2

– 28x (+ 14x )= -14x

7 (+ 8) = 15

-18x² - 14x + 15 is your answer

hope this helps

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3 years ago

What is the total measure of an average man's brain and heart in kilograms

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The brain is about 1500kg when your about the age of fifteen

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3 years ago

Use the diagrams below to derive the formula for the volume of a hemisphere.

Zigmanuir [339]

Answer:

2/3 $\pi$ r²

Step-by-step explanation:

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3 years ago

How many soulutions does the system of equations have x-3y=15. and 3x-9y=45

Irina-Kira [14]

Answer:

<h2>Infinitely many solutions</h2>

Step-by-step explanation:

$\left\{\begin{array}{ccc}x-3y=15\\3x-9y=45\end{array}\right\\\\\text{Divide both sides of the second equation by 3}\\\\\dfrac{3x}{3}-\dfrac{9y}{3}=\dfrac{45}{3}\\\\x-3y=15\\\\\text{We received the same equation as the first.}\\\\\bold{CONCLUSION}\\\\\text{The system of equations has infinitely many solutions.}$

$\left\{\begin{array}{ccc}a_1x+b_1y=c_1\\a_2x+b_2x=c_2\end{array}\right\\\\\text{If}\ a_1=a_2,\ b_2=b_2,\ c_1=c_2,\ \text{then the system of equations}\\\text{ has infinitely many solutions}\\\\\text{If}\ a_1=a_2,\ b_1=b_2,\ c_1\neq c_2,\ \text{then the system of equations}\\\text{has no solutions}\\\\\text{Other the system of equations has one solution.}$

5 0

3 years ago

According to a study conducted by the Toronto-based social media analytics firm Sysomos, of all tweets get no reaction. That is,

Svetllana [295]

Answer:

a) E(X) = 71

b) V(X) = 20.59

Sigma = 4.538

Step-by-step explanation:

The question is incomplete:

According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction. That is, these are tweets that are not replied to or retweeted (Sysomos website, January 5, 2015).

Suppose we randomly select 100 tweets.

a) What is the expected number of these tweets with no reaction?

b) What are the variance and standard deviation for the number of these tweets with no reaction?

This can be modeled with the binomial distribution, with sample size n=100 and p=0.71, as the probability of no reaction for each individual tweet.

The expected number of these tweets with no reaction can be calcualted as the mean of the binomial random variable with these parameters:

$E(X)=n\cdot p=100\cdot 0.71=71$

The variance for the number of these tweets with no reaction can be calculated as the variance of the binomial distribution:

$V(X)=np(1-p)=100\cdot0.71\cdot0.29=20.59$

Then, the standard deviation becomes:

$\sigma=\sqrt{V(X}=\sqrt{20.59}=4.538$

5 0

3 years ago