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
Abby has a begging of $720 in her checking acount. she rites a checks for $250 and $350 respetivly and diposite $500. what is he
Andreas93 [3]

720 - 350 - 250 = 120
120 + 500 = 620
her new total is $620
3 0
3 years ago
The cost of 3 scarves is $66.75. What is the unit price?
Katarina [22]

Answer:

Divide $26.25 by 3 to find out the cost of the unit price. It is $8.75.

5 0
3 years ago
Read 2 more answers
Can someone please help me . first question .
nikdorinn [45]

Answer:

y = -x + 12

Step-by-step explanation:

2x + 2y = 24

divide all by 2

x + y = 12

y = -x + 12

4 0
3 years ago
If a and b are prime numbers, which of the following cannot be the sum of a and b?
zhuklara [117]
The answer is J.
11+2=13
13+3=16
11+7=18
11+17=27
The sum of prime numbers do not equal 25.
7 0
3 years ago
Find the 5th term of the arithmetic sequence 10,5,0....
Lelechka [254]

Answer:

-10

Step-by-step explanation:

10, 5, 0, -5, -10

Subtracts 5 every step.

4 0
3 years ago
Other questions:
  • jonathan and his two friends want to share 2.5 pounds of gum balls. if they share the gum balls evenly, how many pounds of gum b
    13·2 answers
  • I need help ASAP!Im slow in the head and I don’t pay attention in class so yea if u could plz help me?
    14·1 answer
  • MULTIPLE CHOICE QUESTION<br>What is the square root of x¹²​
    12·1 answer
  • 2(a + b)=<br> Helppp meee pleaseeeeee
    5·1 answer
  • Find the surface area of this rectangle prism L=6 H=6 W=4​
    12·1 answer
  • Abby sold half of her comic books and then bought seventeen more. She now has 32. With how many did she begin?
    13·1 answer
  • Find the value of x so the function has the given value. <br> t(x)=2x-4;t(x)=1/2
    8·1 answer
  • Help me answer for 11 points
    13·1 answer
  • Consider these signed numbers and determine whether each product is positive or negative.
    10·1 answer
  • What is the value of f(3) in the function below?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!