piercetherach piercetherach
  • 22-10-2018
  • Mathematics
contestada

Two regular pentagons have areas of 20 mm² and x² - x mm². What values of x make the pentagons congruent?

Respuesta :

smmwaite
smmwaite smmwaite
  • 23-10-2018

Answer

5 and -4


Explanation

If the two triangle are congruent then they have the same area.

20 = x² - x

x² - x - 20 = 0

x² - x + (1/2)² = 20 + (1/2)²

(x - 1/2)² = 20.25

x - 1/2 = √20.25

x - 1/2 = 4.5                             or    x - 1/2 = - 4.5

x = 4 1/2 + 1/2                                      x = -4 1/2 + 1/2

   = 5                                                      = -4

The values of x are 5 and -4.



Answer Link

Otras preguntas

why was the trip around south america impractical as a trade route?
How does water get to the leaves in the tops of the tallest trees against the force of gravity? Name property responsible for this and explain how it works.
It takes Nim 2 2/3 hours to weave a basket. He worked Monday through Friday, 8 hours a day. How many baskets did he make?
farmer Gary Harris 30 flower pots he planting season East pot how many seeds does he plant
Place value chart for 5,400
I don't understand 17 or18 plz help I need it by tonight
what is defined as anything made up of atoms that has mass and takes up space
Factor tree of the prime factorization of number 280
11 feet 8 inches plus 2 feet 9 inches ?
After an unsuccessful attempt to train her puppy one morning, Sharon, the office manager, scolds her assistant when she arrives for work. Sharon is display