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

Predict what happens when zinc is added to water
What is the Geocentric theory in your own words?
If the angles of a triangle are in ratio 2:3:7 find the measure of all the angles of the triangle
There is a turtle race. The race will last 2 minutes. I have to find the distance from the start each turtle will be at the end of the race. Speed (in inches pe
Write an equation for a non-vertical line that contains the point ( 2,-4 )
how does the carbon cycle work in the desert
How did New England's physical geography help the growth of industries?
What is 60 divided by 100 and why? ( I got 0.6 but I'm not sure ) plz hurry
what is the prefix of enactment?
My daughter needs a synonym for tired and all the word she has is problem , story and banquet