cece7683
cece7683 cece7683
  • 11-05-2019
  • Mathematics
contestada

The triangles are similar. What is the value of x? Enter your answer in the box. X=

The triangles are similar What is the value of x Enter your answer in the box X class=

Respuesta :

DarrylChandra
DarrylChandra DarrylChandra
  • 11-05-2019

[tex] \frac{4x + 12}{32} = \frac{15}{8} \\ ( = )32x + 96 = 480 \\ ( = )x = 12[/tex]

Answer Link
jimrgrant1 jimrgrant1
  • 11-05-2019

Answer:

x = 12

Step-by-step explanation:

Since the triangles are similar then the ratio of corresponding sides are equal, that is

[tex]\frac{4x+12}{15}[/tex] = [tex]\frac{32}{8}[/tex] = 4, thus

4x + 12 = 4 × 15 = 60 ( subtract 12 from both sides )

4x = 48 ( divide both sides by 4 )

x = 12

Answer Link

Otras preguntas

what is a example of democracy?
Can someone help me??
6. Minimum value determined by the formula function f (x) = 2x ²-8x + p was 20. Value f (2) is.7. Shape factor of the quadratic equation 4x ²-13x = -3 is ...8.
what is the difference between ions and free electrons?
a 22 foot ladder is placed against a vertical wall of a building with the bottom of the ladder standing on level ground 16 feet from the base of the building. h
how many tenths are in 15.03
What Does 'Soup to Nuts' Mean?
Find the pattern and use it to list the nth term in the sequence. 1, 1/32,1/243,1/1024,1/3125
Need to find common denominators for 58/2.9 and 58/5
Find the pattern and use it to list the nth term in the sequence. 1, 1/32,1/243,1/1024,1/3125