Kamdyn70
Kamdyn70 Kamdyn70
  • 25-07-2019
  • Mathematics
contestada

in the figure, ∆ABC ~ ∆DEF. solve for x

A) x = 1.5

B) x = 6

C) x = 4

D) x = 5.5​

in the figure ABC DEF solve for x A x 15B x 6C x 4D x 55 class=

Respuesta :

calculista
calculista calculista
  • 28-07-2019

Answer:

Option B x=6 units

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

Triangles ABC and DEF are similar

therefore

∠A≅∠D

∠B≅∠E

∠C≅∠F

and

AB/DE=BC/EF=AC/DF

Find the value of x

AB/DE=BC/EF

substitute the given values

x/3=16/8

x=3*16/8

x=6 units

Answer Link

Otras preguntas

Suppose the Moon's orbit were not tilted. How many total solar eclipses would you expect to see from Earth in a year?
Which one? Pick two numbers that multiply together to equal 1 million 200 2000 5000 50000
What type of reactive intermediate is formed upon irradiation of a solution of toluene (ph-ch3) and bromine?
Plz see picture and question attached
Researchers who claim that siblings reared in the same familt show little resemblace
Which type of cartilage covers the articulating surfaces of bones and connects ribs to the sternum?
an apple has a mass of 297 how many killo grams is it
A _____ pattern would be most useful if you were trying to convince people to donate their time to the local library. a. problem-and-solution b. chronological
number 13 explain......
Which is NOT a property of magnetic field lines? A: they form complete loops from pole to pole B: they can be directly observed C: they never cross D: they spr