gabbyaleja27
gabbyaleja27 gabbyaleja27
  • 24-06-2019
  • Mathematics
contestada

An interior angle of a regular convex polygon is 140°. How many sides does the polygon have?

A. 8

B. 9

C. 10

D. 11

Respuesta :

TaeKwonDoIsDead
TaeKwonDoIsDead TaeKwonDoIsDead
  • 24-06-2019

Answer:

B

Step-by-step explanation:

We can use the formula for interior angles of a polygon to solve this. The formula is:

Each interior angle of a polygon = [tex]\frac{(n-2)180}{n}[/tex]

Where n is the number of sides

We know each angle is 140°, so we plug that in and find n:

[tex]140=\frac{(n-2)180}{n}\\140n=180n-360\\180n-140n=360\\40n=360\\n=\frac{360}{40}=9[/tex]

The polygon has 9 sides, correct answer B.

Answer Link
jmoises10010 jmoises10010
  • 16-12-2021

Answer: B

Step-by-step explanation:

Answer Link

Otras preguntas

Olivia is 4 feet 10 inches tall. She compared her height with her younger sister, Susan, and found that Susan is 15 inches shorter than she is. What is Olivia's
WHAT DOES D.A.R.E. STANDS FOR
What is the integral of (2x^2+4)/(x^3+4x)
31 - 4 + 6 O -17 + 22 - 5 Write <, >, or =
Scientists have designed solar cells to trap solar energy and convert it to _____ energy. a hydrelectric b wind
What relationship in the ecosystem is the following; 1) A bacteria causes your throat to be sore 2) A mountain lion stalks a young deer
how many times larger is 560 000 than 56?
Which research library, staffed by Muslim scholars, became a great center of learning in medieval times? A. the Dome of the Rock B. the Library of Alexandria C.
375/1000 of 1 m? Maths homework is always the hardest
A solution with pH 8 is twice as acidic as a solution with pH 4. T or F