hannashifraw
hannashifraw hannashifraw
  • 03-05-2021
  • Mathematics
contestada

b. 48
C. 36
5. (x+4), (x+12), (x-1) and (x+5) are in proportion. Find the value of x.
b. 12
a. 15
c. 16
d., 20
​

Respuesta :

jimrgrant1 jimrgrant1
  • 03-05-2021

Answer:

c

Step-by-step explanation:

Expressing the proportion in fractional form , that is

[tex]\frac{x+4}{x+12}[/tex] = [tex]\frac{x-1}{x+5}[/tex] ( cross- multiply )

(x + 4)(x + 5) = (x + 12)(x - 1) ← expand both sides using FOIL

x² + 9x + 20 = x² + 11x - 12 ← subtract x² + 9x from both sides

20 = 2x - 12 ( add 12 to both sides )

32 = 2x ( divide both sides by 2 )

16 = x → c

Answer Link

Otras preguntas

Another word or phrase for moon
how do i answer this math problem? there are 10 pies. 4 of the pies are apple. the rest are cherry. what fraction of the pies are cherry?
most followers live in East and Southeast Asia A. Hinduism B. Buddhism C. Christianity D. Islam E. Confucianism
What is true about the variable x when the variable n is a negative number?
PLEASE HELP! Which of the following leaders would have supported Geary in his campaign? Andrew Johnson Thaddeus Stevens Abraham Lincoln Ulysses S. Grant ANSWER
How is a tendon different from a ligament? A. A tendon joins a bone to a bone; a ligament joins a muscle to a bone. B. A tendon joins a muscle to a bone; a l
Whom does the writer invoke in this passage? the gods a man at war the Muse the Alban lords The Aenid by Virgil (excerpt) I sing of warfare and a man at war. F
Solve the equation t/4 = 16
600 is 5/9 of what number
Why does Mark Twain call the economic and social conditions depicted in his novel "an entirely ideal state of society"