1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
xz_007 [3.2K]
3 years ago
13

If RX=4 and XS=9, then XT= And how do you get it?

Mathematics
1 answer:
konstantin123 [22]3 years ago
7 0

Answer:

XT=6 units

Step-by-step explanation:

The picture of the question is the attached figure

step 1

In the right triangle RST

Applying the Pythagorean theorem

RS^2=RT^2+TS^2

we have

RS=RX+XS=4+9=13\ units ---> by segment addition postulate

substitute

RT^2+TS^2=169  ----> equation A

step 2

In the right triangle RTX

Applying the Pythagorean theorem

RT^2=RX^2+XT^2

we have

RX=4\ units

substitute

RT^2=4^2+XT^2

RT^2=16+XT^2

XT^2=RT^2-16 ----> equation B

step 3

In the right triangle XTS

Applying the Pythagorean theorem

TS^2=XS^2+XT^2

we have

XS=9\ units

substitute

TS^2=9^2+XT^2

TS^2=81+XT^2

XT^2=TS^2-81 ----> equation C

step 4

equate equation B and equation C

TS^2-81=RT^2-16

TS^2-RT^2=81-16

TS^2-RT^2=65 ----> equation D

step 5

Solve the system

RT^2+TS^2=169 ----> equation A

TS^2-RT^2=65 ----> equation D

Solve by elimination

Adds equation A and equation D

RT^2+TS^2=169\\TS^2-RT^2=65\\---------\\TS^2+TS^2=169+65\\2TS^2=234\\TS^2=117

Find the value of  RT^2

RT^2+117=169\\RT^2=52

step 6

Find the value of XT

equation C

XT^2=117-81\\XT^2=36\\XT=6\ units

You might be interested in
The ratio of lifting force to area is equivalent for all pairs in the table what are the values of x and y?
Ksivusya [100]
It’s answer y=x4-3 because of x and y are combined in the same way they are similar
8 0
3 years ago
Use the substitution method to solve the system of equations. <br> x+y=11<br> -x=-y-9
allochka39001 [22]
<h2>Answer:</h2>

Like you said, we need to use <u><em>substitution</em></u> to solve for y.

x + y = 11\\-1(-x = -y - 9)\\\\x + y = 11\\x = y + 9\\\\y + 9 + y = 11\\\\2y + 9 = 11\\\\2y = 20\\\\y = 10

Now that we've solved for y, we can plug in the number we got into one of the <u><em>original</em></u> equations. (You can choose either equation, but I will use the first one.)

x + 10 = 11\\\\x = 1

Now we have the solution of this system.

(1, 10)

4 0
2 years ago
Dillon deposited 3/4 of his paycheck into the bank. The deposit slip shows how much he deposited. ($46.50) Weite and solve an eq
Sliva [168]
3/4 is 75%. So 0.75x = $46.50, x = $62.00
6 0
3 years ago
47) How much does 75 gallons of water weigh
mixer [17]

Answer:

It weighs 850 pounds

Step-by-step explanation:

Have a nice day

7 0
3 years ago
5(10-3)=8 pls answer
allochka39001 [22]

Answer:

5(10-3)=8 is False

Step-by-step explanation:

5(10-3)=35

7 0
3 years ago
Other questions:
  • What is the slope of the line that passes through the points (-4,8) and (-14.8)?
    8·1 answer
  • The side length of a square is (8-√10) inches long. What's the area of the square.
    9·1 answer
  • Which type of car had the largest range in monthly sales? Explain how you came up with your answer.
    9·2 answers
  • ebony wants to buy a dvd player and dvds the equation relates the total cost for dvds and dvd player and N dvds is p=20n+200 wha
    8·1 answer
  • PLEASE HELP
    10·1 answer
  • What were the dimensions of the slice defined as RSTU in Exercise 1?
    5·1 answer
  • PLEASE HELP?:((((((((
    13·1 answer
  • Which pairs of angles in the figure below are vertical angles?
    12·2 answers
  • Doing a test please help
    6·2 answers
  • Could the inverse of a non-function be a function? Explain or give an example.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!