kaitlynndirck
kaitlynndirck kaitlynndirck
  • 24-01-2022
  • Mathematics
contestada

Given the diagram below, Philip thinks the value of x is 9, but Mia thinks the value of x is 12. Which student is correct? Justify your answer.

Given the diagram below Philip thinks the value of x is 9 but Mia thinks the value of x is 12 Which student is correct Justify your answer class=

Respuesta :

jimrgrant1 jimrgrant1
  • 24-01-2022

Answer:

Mia is correct

Step-by-step explanation:

The outer triangle and the inner triangle are similar ( AA postulate )

Then the ratios of corresponding sides are in proportion

[tex]\frac{2}{2+6} [/tex] = [tex]\frac{3}{x} [/tex] , that is

[tex]\frac{2}{8} [/tex] = [tex]\frac{3}{x} [/tex] ( cross- multiply )

2x = 24 ( divide both sides by 2 )

x = 12

Answer Link

Otras preguntas

What was the relationship between trade and the spread of phoenician alphabet?
What is another name for dehydration synthesis
uses shading to show the earth's features
On Earth's surface, the weight of an object equals the product of its mass and _____. v, the speed of the object G, the constant of universal gravitation g,
Radio and television media perform a public service in the field of political education by: a. informing consumers of the products sold by their sponsors. b.
Who was considered the greatest leader of the Nez Perce people? A. Crazy Horse B. Geronimo C. Sitting Bull D. Chief Joseph
The music industry shrank during the 1970s since few people were interested in disco.
Why did the French establish settlements along the Great Lakes and the St. Lawrence?
5280x5 = ?  record the product using expanded form to help
Which type of marine ecosystem supports the least life and why?