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3 years ago

Are these triangles similar?

Mathematics

2 answers:

never [62]3 years ago

8 0

Answer:Similar yes, AA similarity

Step-by-step explanation

Oxana [17]3 years ago

5 0

Not similar is correct

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The x intercepts of the function f(x) = 2x(x-5)^2(x+4)^3 are…

Leokris [45]

Answer:

$\boxed{\sf x- intercepts = 0 , 5 \ and \ -4}$

Step-by-step explanation:

A function is given to us and we need to find the x Intercepts of the graph of the given function . The function is ,

$\sf \implies f(x) = 2x( x - 5 ) ^2(x+4)^3$

For finding the x intercept , equate the given function with 0, we have ;

$\sf \implies 2x ( x - 5 )^2(x+4)^3= 0$

Equate each factor with 0 ,

$\sf \implies 2x = 0$

Divide both sides by 2 ,

$\sf \implies\bf x = 0$

Again ,

$\sf \implies ( x - 5)^2=0$

Taking squareroot on both sides,

$\sf \implies x - 5 = 0$

Add 5 to both sides,

$\sf \implies \bf x = 5$

Similarly ,

$\sf \implies \bf x = -4$

Hence the x Intercepts are -4 , 0 and 5 .

{ See attachment also for graph } .

3 0

3 years ago

What addition sentence helps you find 5 – 4?

sineoko [7]

Answer:

4 + x =5

Step-by-step explanation:

By adding a variable you can set up an addition sentence

6 0

3 years ago

The number of years of education of self-employed individuals in the united states has a population mean of 13.6 years and a pop

muminat

Answer:

0.3 years

Step-by-step explanation:

With problems like these, I always like to start by breaking down the information into smaller pieces.

μ = 13.6

σ = 3.0

Survey of 100 self-employed people

(random variable) X = # of years of education

So now we have some notation, where μ represents population mean and σ represents population standard deviation. Hopefully, you already know that the sample mean of x-bar is the same as the population mean, so x-bar = 13.6. Now, the question asks us what the standard deviation is. Since the sample here is random, we can use the Central Limit Theorem, which allows us to guess that a distribution will be approximately normal for large sample sizes (that is, n ≥ 30). In this case, our sample size is 100, so that is satisfied. We're also told our sample is random, so we're good there, too. Now all we have to do is plug some stuff in.

The Central Limit Theorem says that for large values of n, x-bar follows an approximately normal distribution with sample mean = μ and sample standard deviation = σ/√n. So, with that info, all we need to do to find the standard deviation of x-bar is to plug our σ and n into the above formula.

σ(x-bar) = σ/√n

σ(x-bar) = 3.0/√100

σ(x-bar) = 0.3

So your answer here is .3 years.

7 0

3 years ago

What is the value of x?

ioda

Answer:

50.714 (3 dp)

Step-by-step explanation:

Using trigonometry.

$cos(\theta)=\frac{adj}{hyp} \\adj = hyp * cos(\theta)\\120*cos(65) = 50.714$

7 0

3 years ago

How to solve −3−6c=9c+5−15c

Alekssandra [29.7K]

Can salvage 15c+ -15c is 0 + 8 is still 0

7 0

3 years ago