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dlinn [17]
3 years ago
13

Triangle RSV is congruent to triangle TVS. Find y

Mathematics
2 answers:
arlik [135]3 years ago
4 0

Triangle RSV is congruent to triangle TVS.

So,

|RS|=|TV|

|SV|=|VS|

|VR|=|ST| (They are hypotenuses of the congruent triangles).

|VR|=25

|ST|=4y-2

25 = 4y - 2

4y=27

y=27/4=6.75

y=6.75

diamong [38]3 years ago
3 0

ΔRSV ≡ ΔTVS

⇒ Line ST ≡ Line RV

.

<u>Solve y:</u>

4y - 2 = 25

4y = 27

y = 6.75

.

Answer: y = 6.75

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3 cards are drawn from a standard deck of 52 cards. Find the probability of drawing either 3 red cards or 3 face cards.
Mamont248 [21]

Answer:

The probability of drawing either 3 red cards or 3 face cards is 0.1276.

Step-by-step explanation:

Total number of card in standard deck is 52.

Number of red cards is 26.

Face card are king, queen and jack. Total number of face cards are 3\times 4=12.

Formula of probability is

P=\frac{\text{Number of possible outcomes}}{\text{Total outcomes}}

^nC_r=\frac{n!}{r!(n-r)!}

Total outcomes is

^{52}C_3=\frac{52!}{3!(52-3)!}=22100

Total possible outcomes of getting 3 red is

^{26}C_3=\frac{26!}{3!(26-3)!}=2600

Total possible outcomes of getting 3 face is

^{12}C_3=\frac{12!}{3!(12-3)!}=220

Total possible outcomes of getting either 3 black or 3 face cards is

2600+220=2820

probability of drawing either 3 red cards or 3 face cards is

\frac{2820}{22100}=0.12760181\approx 0.1276

probability of drawing either 3 red cards or 3 face cards is 0.1276.

6 0
4 years ago
Read 2 more answers
Please please please help meeeee<br> Factor. 9x2−49y2
Galina-37 [17]
This Is how you factor 9x2-49y2 ................. (3x+7y)(3x-7y)
5 0
3 years ago
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A fishing supply store buys fishing rods for $11 and sells them at a markup of 220%. One day, they decide to put
allsm [11]

The answer is: $28.16

A markup of 220% would bring 11 to 35.20, and a mark down of 20% would bring 35.20 to 28.16.

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4 0
3 years ago
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PLS HELP ASAP
timurjin [86]

The projected number of newly reported crime cases in the New York county in 2011, found using linear regression is 703 newly reported crime cases

<h3>What is a linear regression?</h3>

A linear regression models the relationship between a scalar quantity and other explanatory variables, using a linear approach.

The linear regression equation is presented as follows;

y = a + b•x

Where;

\displaystyle{ b =  \frac{ \sum (x -  \bar x) \times (y -  \bar y)}{ (x -  \bar x)^{2}  } }

\displaystyle{ a =  \frac{ \sum (y ) + b \times  \sum (x)}{ n } }

\displaystyle{   \bar x} =(0+1+2+3)/4 = 1.5

\displaystyle{   \bar y} =(994+946+928+880)/4 = 937

\displaystyle{   \sum x} =(0+1+2+3) = 6

\displaystyle{   \sum y} =(994+946+928+880) = 3748

n = 4

Using the statistics function of a graphing calculator, under Scatter plot, plot type, we have;

y = 991 - 36•x

Which gives;

b = -36

a = 991

From the given parameters, we have;

<em>x </em>= The number of years since 2003

y = The number of newly reported crime cases

Required;

The number of projected new cases in 2011

Solution;

In 2011, <em>x </em>= 2011 - 2003 = 8

Which gives;

y = 991 - 36×8 = 703

The number of newly reported crime cases in 2011 is 703

Learn more about linear regression equation here:

brainly.com/question/19712770

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6 0
2 years ago
Doug entered a canoe race. He rowed 3 1/2 miles in 1/2 hours. What is his average speed in miles per hour?
Eddi Din [679]

Answer:

3.5miles/0.5hour

=7miles/hr

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3 years ago
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