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
umka2103 [35]
2 years ago
8

Ill give you Brainlyest! I need help ASAP work shown, please!! problems 8-15

Mathematics
1 answer:
8_murik_8 [283]2 years ago
8 0

Using the segment addition theorem, the solutions are:

5. x = 17

6. x = 7

7. x = 14

BC = 27

CD = 61

BD = 88

8. AB = 26

9. LJ = 46

10. x = 3

11. FG = 15

12. QS = 34

13. BC = 26

14. EG = 19

15. QS = 68

<h3>How to Apply the Segment Addition Theorem?</h3>

The segment addition theorem would be used to solve the problems as shown below:

5. UW = UV + VW [segment addition theorem]

Substitute

6x - 35 = 19 + 4x - 20

6x - 4x = 35 + 19 - 20

2x = 34

x = 17

6. HJ = HI + IJ [segment addition theorem]

Substitute

7x - 27 = 3x - 5 + x - 1

7x - 3x - x = 27 - 5 - 1

3x = 21

x = 7

7. BD = BC + CD [segment addition theorem]

Substitute

7x - 10 = 4x - 29 + 5x - 9

7x - 4x - 5x = 10 - 29 - 9

-2x = -28

x = 14

BC = 4x - 29 = 4(14) - 29 = 27

CD = 5x - 9 = 5(14) - 9 = 61

BD = 7x - 10 = 7(14) - 10 = 88

8. BC = BD

Substitute

2x + 1 = 5x - 26

2x - 5x = -1 - 26

-3x = -27

x = 9

AB = 43 - BC

AB = 43 - 2x + 1 = 43 - 2(9) + 1 = 26

9. 7x - 10 = 9x - 11 - (x + 3)

7x - 10 = 9x - 11 - x - 3

7x - 9x + x = 10 - 11 - 3

-x = -4

x = 4

LJ = 28 + 7x - 10 = 28 + 7(4) - 10

LJ = 46

10. 8x + 11 = 12x - 1

8x - 12x = -11 - 1

-4x = -12

x = 3

11. 11x - 7 = 3x + 9

11x - 3x = 7 + 9

8x = 16

x = 2

FG = 11x - 7 = 11(2) - 7

FG = 15

12. 5x - 3 = 21 - x

5x + x = 21 + 3

6x = 24

x = 4

QS = 2(5x - 3) = 10x - 6 = 10(4) - 6

QS = 34

13. 8x - 20 = 2(3x - 1)

8x - 20 = 6x - 2

8x - 6x = 20 - 2

2x = 18

x = 9

BC = AB = 3x - 1 = 3(9) - 1

BC = 26

14. 5x - 1 = 7x - 13

5x - 7x = 1 - 13

-2x = -12

x = 6

EG = 6x - 4 - 13 = 6(6) - 4 - 13

EG = 19

15. RT - ST = RS

Substitute

8x - 43 - (4x - 1) = 2x - 4

8x - 43 - 4x + 1 = 2x - 4

4x - 42 = 2x - 4

4x - 2x = 42 - 4

2x = 38

x = 19

QS = 2(RS)

QS = 2(2x - 4) = 4x - 8 = 4(19) - 8

QS = 68

Learn more about the segment addition theorem on:

brainly.com/question/28263183

#SPJ1

You might be interested in
Question 1 of 10
meriva

Answer: The square root of 18 divided by square root of 50 is 5 square root of x divided by 5.

3 0
2 years ago
When Jeremy made 8 black and white copies and 2 color copies at a copy shop, the cost was $1.20. When he made 10 black and white
NNADVOKAT [17]
I think it’s A and it’s B at the most but still...A
3 0
3 years ago
Sam loves to read. The longest time it ever took her to finish a book was 23 hours. The shortest time was 1 hour and 5 minutes.
ehidna [41]
C 22 hours and 55 minutes
8 0
3 years ago
Read 2 more answers
Write your answer as a fraction or as a whole mixed number. 2 5/11 - 10 7/11
kaheart [24]

Answer:

-90/11

Step-by-step explanation:

convert each mixed number into a improper fraction

27/11  - 117/11

= -90/11

3 0
3 years ago
Read 2 more answers
Please help! Correct Answers only!
mafiozo [28]

Answer:

$12000

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 40000 × 15/100 × 2

I = $12000

5 0
3 years ago
Other questions:
  • Sally’s father baked 8 cookies. Sally and 4 friends (5 people total) decide to share the cookies equally. How much will each per
    14·2 answers
  • Is -1.2 greater than 6.9
    15·2 answers
  • Need help solving. Prefer you show each step in solving.
    12·1 answer
  • Bertha and vernon both scuba dive. Berthas dive was -100 feet her dive was 5 times deeper than vernons dive. What depth did vern
    5·1 answer
  • For a circle with a radius of 6 meters, what is the measurement of a central angle (in degrees) subtended by an arc with a lengt
    14·1 answer
  • Compare the outliers and interquartile ranges (IQRs) for the data sets. Which
    6·1 answer
  • Historians generally begin forming historical arguments in order to:
    5·2 answers
  • What is the coefficient in the algebraic expression 6 - 7m
    6·2 answers
  • How do the absolute values of - 12.5 and 11.5 compare? Choose a symbol to make the statement true.
    13·1 answer
  • To compare and order fractions,the fraction can be written with a​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!