floreslaris
floreslaris floreslaris
  • 13-11-2020
  • Mathematics
contestada


In AOPQ, m2O = (2x – 5)º, m P = (3x – 8)°, and mZQ = (10x – 17).
What is the value of x?

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 14-11-2020

9514 1404 393

Answer:

  x = 14

Step-by-step explanation:

The sum of angles in a triangle is 180°:

  ∠O +∠P +∠Q = 180°

  (2x -5)° +(3x -8)° +(10x -17)° = 180°

  15x -30 = 180 . . . . . divide by °, collect terms

  x -2 = 12 . . . . . . . . . divide by 15

  x = 14 . . . . . . . . . . . .add 2

Answer Link

Otras preguntas

What are the numerous small structures that function like organs in a cell?
Describe how the plasma membrane controls what goes into and come out of the cell
The words tranquil, hidden, peaceful, and versatile which ones are either synonyms or antonyms
list all of the odd numbers less than 20 in numerical order
What is equivalent to the ratio 5/13
comparing cellular and anaerobic respiration
What is one half added to three quarters
What's 725/1000 in simplest form?
Identify the strategy that writers might use while editing. a. writing without stopping for a set number of minutes b. reading a draft​ backwards, sentence by s
At a recent party, it cost $9.50 for refreshments for 10 guests. At this rate, how much would it cost to have refreshments for 80 guests?