idk9689 idk9689
  • 08-11-2019
  • Mathematics
contestada

Anybody know the answer?

Anybody know the answer class=

Respuesta :

DeanR
DeanR DeanR
  • 08-11-2019

Sure.  We see all three right triangles are similar since each has corresponding congruent angles.  We can think of them as all having a common three way ratio:

short leg : long leg : hypotenuse

In the smallest triangle the short leg is a+5 and the long leg is 12.

In the medium triangle the short leg is 12 and the long leg is 18

So the relevant ratio is

(a+5) / 12 = 12 / 18

a+5 = 12 × 2/3

a = 8 - 5

a = 3

Answer: A. 3

Answer Link

Otras preguntas

How can I distinguish between the three stages of Interphase (G1, S, and G2)?
Which is greater 0.6 or 0.06
What is 1 divided by tan(x) ?
what is the difference between Darwin's theory of evolution and Lamarck's theory of evolution ?
48 over 120 = x over 100 cross multiply to get answer of x
3x+2y=5 2x-2y=5 i got 2 so i kind of know how to do it but not that sure yet on how to do the whole equation
Which statement best describes the tones of "To My Dear Loving Husband" and "To the King's Most Excellent Majesty"? A.)Bradstreet's poem has a thoughtful tone,
From which statement can you BEST infer how Jim and Della feel about each other? A.“Tomorrow would be Christmas Day and she had only $1.87 with which to buy Jim
Under the ecomienda system, victorious conquistadors were made ____ over the land. owners renters trustees
Under the ecomienda system, victorious conquistadors were made ____ over the land. owners renters trustees