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2 years ago

the two triangles below are similar use what you know about similar triangles to find the missing side. show your work

Mathematics

1 answer:

lara31 [8.8K]2 years ago

7 0

If both triangles are similar the ratio of sides will be same

$\\ \sf\longmapsto \frac{x}{24} = \frac{6}{12} \\ \\ \sf\longmapsto 12x = 6 \times 24 \\ \\ \sf\longmapsto 12x = 144 \\ \\ \sf\longmapsto x = \frac{144}{12} \\ \\ \sf\longmapsto x = 12$

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Solve the equation. Check your answer.<br> 6x - 3= 5x +5<br> X=

ZanzabumX [31]

Answer:

x = 8

Step-by-step explanation:

6x - 3 = 5x + 5

Move variable to the left hand side and change their sign.

$\sf \: 6x - 5x - 3 = 5$

Calculate like terms.

x - 3 = 5.

Move constant to the right hand side and change their sign.

x = 5 + 3
x = 8

<u>Check our answer :-</u>

6x -3 = 5x + 5

plug the 8 as x.

6 ( 8 ) - 3 = 5 ( 8 ) + 5
48 - 3 = 40 + 5
45 = 45

LHS = RHS

5 0

2 years ago

In ΔXYZ, ∠X=59° and ∠Y=21°. ∠XWZ=90° and XY=6.1. Find the length of XW to the nearest 10th.

dlinn [17]

Answer:

this is question is wrong it you typed it wrong

how come the triangle named XYZ and the angle wxz and if there 2 triangles one must be a failure because there is no triangle which all his angels equals more than 180°

look again and if possible take a picture of the question

3 0

3 years ago

In a list of households, own homes and do not own homes. Five households are randomly selected from these households. Find the p

hichkok12 [17]

Answer:

The probability of success for this case would be:

$p =\frac{9}{15}= 0.6$ representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.6)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

And we want this probability:

$P(X=3)$

And uing the probability mass function we got:

$P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165$

Step-by-step explanation:

Adduming the following info: In a list of 15 households, 9 own homes and 6 do not own homes. Five households are randomly selected from these 15 households. Find the probability that the number of households in these 5 own homes is exactly 3.

Round your answer to four decimal places

P (exactly 3)=

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

The probability of success for this case would be:

$p =\frac{9}{15}= 0.6$ representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.6)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

And we want this probability:

$P(X=3)$

And uing the probability mass function we got:

$P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165$

4 0

3 years ago

Two students Are reading a novel Ashley read 10 pages per day Carly reads eight pages per day but she starts early and is alread

iren [92.7K]

Answer:

P = 10D
P = 8D +40

Step-by-step explanation:

Ashley's page count is ...

P = 10D

Carly's page count is ...

P = 8D +40

_____

The page count is the product of the pages per day and the number of days. Since Carly started with a page count of 40, that is added to the product.

4 0

3 years ago

The radius is 7. Find the circumference of p. Leave your answer in terms of pi.

just olya [345]

Answer:

Step-by-step explanation:

Hi there!

According to the question;

radius (r) = 7

We know,

Circumference (c) = 2πr

= 2π * 7

= 14π

Therefore the circumference of p is 14π.

Hope it helps!

5 0

2 years ago

the two triangles below are similar use what you know about similar triangles to find the missing side. show your work​

the two triangles below are similar use what you know about similar triangles to find the missing side. show your work