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

why is gene regulation is crucial to the development of multicellular organisms
David drove 232 miles in 4 hours and 319 miles in 5.5 hours what is the constant rate of change
Countries that do not use grades in school
What is 7/3 x 2/4?????
Besides agriculture and trade what were two industries in the southern colonies
To extinguish a fire with a portable extinguisher, a person must: A. Both choices are correct. B. Know how to actuate the unit. C. Know how to apply the agent e
What is the greatest common factor and the least common multiple of 12,28 and 36?
Given: ΔABC; b= 10; c = 14, and ∠A = 54°. Find the length of side a to the nearest whole number.
PEASE HELP!!!!! the cells in your nose that detect smell are a type of? A. chemoreceptor B. propipceptor C. efferent receptor D. mechanorecptor
What two Native American tribes suffered most from the Indian removal act