165k views
1 vote
A. Identify the independent and dependent variable. B. Operationalize the variable (Psychology).

a) A. Independent: Time, Dependent: Behavior. B. Define time measurement.
b) A. Independent: Behavior, Dependent: Time. B. Define behavior measurement.
c) A. Independent: Time, Dependent: Behavior. B. Define behavior measurement.
d) A. Independent: Behavior, Dependent: Time. B. Define time measurement.

Question 1393: List two or three connotations you have with L.A. and explain their importance to the story "Love in LA."
a) Connotations: Glamour, Traffic, Celebrities. Importance: Setting the tone and backdrop.
b) Connotations: Sprawl, Diversity, Hollywood. Importance: Shaping characters' experiences.
c) Connotations: Sunshine, Beaches, Luxury. Importance: Reflecting the story's atmosphere.
d) Connotations: Pollution, Traffic, Fast-paced. Importance: Influencing character behavior.

Question 1394: What type of triangle is XYZ based on the angle ratio of 3:5:7, and what is the measure of each angle?
a) Scalene triangle; 45°, 75°, 105°
b) Isosceles triangle; 30°, 50°, 70°
c) Equilateral triangle; 60°, 60°, 60°
d) Obtuse-angled triangle; 30°, 50°, 100°

Question 1395: What is the fraction of boxes with 'z' as a decimal number, as mentioned in the problem?
a) 0.65
b)

1 Answer

2 votes

Final answer:

A triangle with an angle ratio of 3:5:7 is a scalene triangle, with angle measures of 36 degrees, 60 degrees, and 84 degrees respectively.

Step-by-step explanation:

When trying to determine whether a triangle is scalene, isosceles, equilateral, or obtuse-angled, one must understand that the sum of the angles in any triangle will always equal 180 degrees.

In the case of a triangle with angle ratios of 3:5:7, we can set up the following equation: 3x + 5x + 7x = 180. Simplifying this equation, (3+5+7)x = 15x = 180; therefore, x = 180/15 = 12 degrees. Substituting back, we have angles of 3x = 36 degrees, 5x = 60 degrees, and 7x = 84 degrees.

All the angles are different, and none of them are greater than 90 degrees, which identifies the triangle as a scalene triangle. This also means, the measures of the angles will be:

  • 36 degrees
  • 60 degrees
  • 84 degrees
User Speedarius
by
6.6k points