If RX = 4 and XS = 9, then XT =

Answers

Answer 1
RX is + XS is the hypotenuse of the right triangle RTS, then:

(RX + XS)^2 = (RT)^2 + (ST)^2

=> (4+9)^2 = (RT)^2 + (ST)^2

=> 13^2 = (RT)^2 + (ST)^2 .....equation (1)

Triangle RTX and XST are also right triangles.

RT is the hypotenuse of RTX and ST is the hypotenuse os SXT.

Then, (RT)^2 - (RX)2 = (TX)^2 and (ST)^2 - (SX)^2 = (TX)^2

=> (RT)^2 - (RX)^2 = (ST)^2 - (SX)^2

=> (RT)^2 - (ST)^2 = (RX)^2 -(SX)^2

=> (RT)^2 - (ST)^2 = 4^2 - 9^2 = 16 - 81 = - 65

=> (ST)^2 - (RT)^2 = 65 ..........equation (2)

Now use equations (1) and (2)

13^2 = (RT)^2 + (ST)^2

65 = (ST)^2 - (RT)^2

Add the two equations:

13^2 + 65 = 2(ST)^2

2(ST)^2 =178

(ST)^2 = 234/2 = 117

Now use (ST)^2 - (SX)^2 = (TX)^2

=> (TX)^2 = 117 - 81 = 36

=> (TX) = √36 = 6

Related Questions

2a-3b=4, solve for b

Answers

Answer:

b= - 4/3 + 2a/3

Step-by-step explanation:

The required simplified expression for b is b = [2a - 4] / 3.

Given that,
An expression is given,
2a -3b = 4
The above-given expression should be reorganized in order to solve b.

What is arithmetic?

Mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
2a - 3b = 4
-3b = 4  - 2a
b = [4 - 2a ] / -3
b = [2a - 4] / 3

Thus, the required simplified expression for b is b = [2a - 4] / 3.

Learn more about arithmetic here:

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What is the slope of the line that passes through the points (-3, -3)(−3,−3) and (-9, 5) ?(−9,5)? Write your answer in simplest form.

Answers

Answer

-4/3

Step-by-step explanation:

Toby works at an amusement park. He loads 10 new passengers onto the roller coaster every
3/4
of a minute. At what rate does Toby load passengers?

Pleaseeee

Answers

Answer:

13 1/3

Step-by-step explanation:

im sure this is right btw

Help!!!!!!!Plz!!!!!!!

Answers

Answer:

I'm so confused

Step-by-step explanation:

A single card is drawn from a standard deck. Find the probability of the following event. (Enter your probability as a fraction.) Drawing a black card or a face card

Answers

Answer:

8/13

Step-by-step explanation:

In a standard deck there are 52 cards. Let A denote the event of drawing a black card and B denote the event of drawing face card. We have to find P(A or B) or P(A∪B).

P(A∪B)=P(A)+P(B)-P(A∩B)

There are 26 black cards in a standard deck so,

P(A)=26/52.

There are 12 face cards in a standard deck so,

P(B)=12/52.

There are 6 cards that are black face cards.

P(A∩B)=6/52.

P(A∪B)=P(A)+P(B)-P(A∩B)

P(A∪B)=26/52+12/52-6/52

P(A∪B)=38/52-6/52

P(A∪B)=32/52

P(A∪B)=8/13

Thus, probability of drawing a black card or a face card is 8/13.

|x |-8= -5
what's the answer​

Answers

Answer:

|x |-7 = -5     ( x = -3 )

Step-by-step explanation:

3 :::::::::::::::::::

HELP!!!!!!!


What is 2 8/10 + (-3.5) in decimal form

Answers

Answer: -0.7

Step-by-step explanation:

Sam is investing his money. He thinks that he should make $8 for every $100 he invests. How much does he expect to make on an investment of $1500?

Answers

Answer:

$120

Step-by-step explanation:

Happy almost halloween!

Which of the following lists of ordered pairs is a function?



(-1, 2), (2, 3), (3, 1), (2, 5)



(1, 2), (4, 0), (3, 5), (4, 3)



(2, 5), (3, 6), (6, 9)



(2, 5), (3, 6), (2, 1)

Answers

Functions and Relations

Answer:

[tex](2,5), (3,6), (6,9)[/tex]

Step-by-step explanation:

Because the abscissa does not repeat with different ordinate (well, there's actually no repeating abscissa)

Answer:c

Step-by-step explanation:

Seventeen less than a number
is negative two. What is that
number?

Answers

Answer:15

Step-by-step explanation:

15-17=-2

Answer:

15

Step-by-step explanation:

15

A square patio has an area of 135 square feet. How long is each side of the patio to the nearest tenth?
Each side of the patio is approximately
feet long.

Answers

11.6 because the square root of 135 is 11.61885.... and when you check it is approximately 135 because 11.6 *11.6 = 134.56, which can be rounded to 135

The table shows the unit prices (per pound) of tomatoes
at different stores.
Store
Tomato Unit Prices
Jamal needs to buy 3.25 lb of tomatoes. If Jamal only
has $10, from which store(s) could he purchase his
tomatoes? Check all that apply.
Store A
Store B
Store C
Store D
Store E
A
$3.10 per pound
B
$3.02 per pound
с
$2.97 per pound
D
$3.07 per pound
E
$3.09 per pound

Answers

Answer:

store B, C, and D

Step-by-step explanation:

Evaluate the expresions -8-14÷2+5

Answers

Answer:

-10

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

In a population of subjects who died from lung cancer following exposure to asbestos, it was found that the mean number of years elapsing between exposure and death was 25. The standard deviation was 7 years. Consider the sampling distribution of sample means based on samples of size 35 drawn from this population.

Required:
What will be the standard deviation of the sampling distribution?

Answers

Answer:

The value is  [tex]\sigma _x = 1.1832[/tex]

Step-by-step explanation:

From the question we are told that

   The  population mean is [tex]\mu = 25[/tex]

    The population standard deviation is  [tex]\sigma = 7[/tex]

    The sample size is  n =  35

Generally the standard deviation of the sampling distribution is mathematically represented as

       [tex]\sigma _x = \frac{\sigma}{\sqrt{n} }[/tex]

=>    [tex]\sigma _x = \frac{7}{\sqrt{35} }[/tex]

=>    [tex]\sigma _x = 1.1832[/tex]

"There are 9 students in a class. 3 of them are selected to form a committee where each member is assigned a unique position in the committee (President, Vice President, etc.) How many different committees are possible?"

Answers

Answer:

6

Step-by-step explanation:

Find the focus and directrix of the parabola with the given equation. y^2-4x=0

Answers

Answer:

directrix: x=-1

focus: (1,0)

Step-by-step explanation:

3.1 to the nearest tenth

Answers

Answer:

3.1 to the nearest tenth is 3.1.

Step-by-step explanation:

The first decimal place is the tenths place. Hope this helps!

3.1 because 1 can't be raised to the next number

Becky needs a $5,000 loan in order to buy a boat. Which loan option would allow her to pay the LEAST amount of interest?
A)
A 24-month loan with a 6.25% annual simple interest rate.
B)
A 30-month loan with a 5.75% annual simple interest rate.
0)
A 36-month loan with a 4.00% annual simple interest rate.
D)
A 42-month loan with a 3.75% annual simple interest rate.

Answers

Answer:b

Step-by-step explanation:

Solve the following equation for x using inverse operations 7x-15=1

Answers

Answer:

x = [tex]\dfrac{16}{7}[/tex]

Step-by-step explanation:

Equation

7x - 15 = 1 → Move the -15, reversing the sign:

7x = 1 + 15 → Solve the sum:

7x = 16 → We have a fraction:

x = [tex]\dfrac{16}{7}[/tex]

x = 2.28571428571

To keep it simple, the answer could be just [tex]\dfrac{16}{7}[/tex].

Hope this helps!

Good studies!

The solution of the equation for x is;

⇒ x = 16/7

What is an expression?

Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.

The expression is given as;

7x - 15 = 1

Now, Solve the expression for x by using inverse operations as;

7x - 15 = 1

Since 15 is subtract and inverse of subtraction is addition.

Hence,

Add 15 both side we get;

7x - 15 + 15 = 1 + 15

7x = 16

7 is multiply by x, and inverse of multiplication is divide;

So, Divide by 7 both side;

x = 16/7

Thus, The solution of the equation for x is;

⇒ x = 16/7

Learn more about the inverse operations visit:

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the first number in the pattern is 32 the rule is to add 27​

Answers

Answer:

59

Step-by-step explanation:

explain why the quadratic relation y=2x^2+3x+5 would have no zeros

Answers

Complete the square to rewrite the quadratic:

2 x² + 3 x + 5 = 2 (x² + 3/2 x) + 5

... = 2 (x² + 3/2 x + 9/16 - 9/16) + 5

... = 2 (x² + 3/2 x + (3/4)²) + 5 - 9/8

... = 2 (x + 3/4)² + 31/8

Any real number squared becomes non-negative, so the quadratic expression has a minimum value of 31/8, which is greater than 0, and so there are no (real) x for which y = 0.

Help! Need ASAP! ;((

Answers

Answer:

7+(-11)

Step-by-step explanation:

because it starts from 0 to 7 then goes down 11

so 7+(-11)

brainlist pls ;>

10 Given a || b. Find the value of z that makes ; || k.
Turned in
+27)
id document
(4:+3y)
N
submit
57
**/y+ :)
z=228
z=11.25
2 = 17.25
2= 48

Answers

maybe try quizzlet that would really help i swear

Find the equation of the line khan academy slope intercept equation from the graph
PLEASE HELP!!!

Answers

y= 3/4x - 2
I hope this helps!!!

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 135 millimeters, and a variance of 64. If a random sample of 32 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 3.6 millimeters? Round your answer to four decimal places.

Answers

Answer:

0.3264

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where

x is the raw score,

μ is the population mean,

σ is the population standard deviation.

(x-μ) = 3.6 mm

σ = √variance = √64 = 8mm

z = 3.6/8

z = 0.45

Using the Probability table

P(x<Z) = 0.67364

P(x>Z) = 1 - P(x<Z)

1 - 0.67364

= 0.32636

Approximately = 0.3264

Pendiente 6 y puntos (5, -2)

Answers

Answer:A HORLE

Step-by-step explanation:

consider the Following equation.
[tex]4x + 3y = 7[/tex]
Determine the missing coordinate in the orderd pair (-4,?) so that it will satisfy the given equation.
Answer: (-4,______)​

Answers

Answer:

23/3

Step-by-step explanation:

x=-4

plug x into equation

4(-4)+3y = 7  

-16+3y = 7

3y=23

y=23/3

2.4 x 0.87 help help help

Answers

Answer:

2.088

Step-by-step explanation:

Trust me I am in high school honors algebra with almost an average of 100.

The product of 2.4 x 0.87 is 2.088.

What is a decimal ?

A decimal is represented by a dot which separates the whole part and the fractional part of a number.

According to the given question we have to multiply two decimals numbers  2.4 and 0.87.

Multiplication of decimals numbers can be easily done just by removing the decimas and multiplying them in form of integers and after obtained result we'll put the decimal as many digits before from the rightmost side as the sum of the digits which those two numbers have after the decimal.

So, (24×87) = 2088 now the sum if the digits is 3 so we'll put the decimal 3 places before which is 2.088.

learn more about decimals here :

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Use the stem-and-leaf plot of Monthly Sales Goals to answer the question that follows.
Monthly Sales Goals (in thousands)
Stem Leaf
1 8 9
2 5 6 6 8
3 2 3 3 6 9
4 0
What is the median monthly sales goal? (2 points)
a. $26,000
b. $29,600
c. $30,000
d. $30,500

Answers

Answer:

The median monthly sales goal is $30000

Step-by-step explanation:

Monthly Sales Goals (in thousands)

Stem Leaf

1 8 9

2 5 6 6 8

3 2 3 3 6 9

4 0

Data (Salary in thousands) : 18,19,25,26,26,28,32,33,33,36,39,40

n = 12(even)

[tex]Median = \frac{\frac{n}{2} \text{th term}+(\frac{n}{2}+1) \text{th term}}{2}[/tex]

[tex]Median = \frac{\frac{12}{2} \text{th term}+(\frac{12}{2}+1) \text{th term}}{2}\\Median = \frac{6 \text{th term}+7 \text{th term}}{2}\\Median = \frac{28+32}{2}\\Median = 30[/tex]

So, The median monthly sales goal is $30000

So, Option C is true

Question:
7x^2 + 8x = x^2

Answers

Answer:

x1= -4/3 and x2= 0

Step-by-step explanation:

That answer is correct
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