1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IRINA_888 [86]
3 years ago
11

How many triangles and quadrilaterals altogether can be formed using the vertices of a 7-sided regular polygon?

Mathematics
1 answer:
MAVERICK [17]3 years ago
8 0

Answer:  The correct option is

(E) 70.

Step-by-step explanation:  We are given to find the number of  triangles and quadrilaterals altogether that can be formed using the vertices of a 7-sided regular polygon.

To form a triangle, we need any 3 vertices of the 7-sided regular polygon. So, the number of triangles that can be formed is

n_t=^7C_3=\dfrac{7!}{3!(7-3)!}=\dfrac{7\times6\times5\times4!}{3\times2\times1\times4!}=35.

Also, to form a quadrilateral, we need any 4 vertices of the 7-sided regular polygon. So, the number of quadrilateral that can be formed is

n_q=^7C_4=\dfrac{7!}{4!(7-4)!}=\dfrac{7\times6\times5\times4!}{4!\times3\times2\times1}=35.

Therefore, the total number of triangles and quadrilaterals is

n=n_t+n_q=35+35=70.

Thus, option (E) is CORRECT.

You might be interested in
What do the following two equations represent?
noname [10]

Answer:

It parallel line.

Step-by-step explanation:

7 0
2 years ago
This graph shows the solution to which inequality?
Butoxors [25]

Answer:

letss seeee

Step-by-step explanation:

c.

7 0
2 years ago
Kong took 15\%15%15, percent fewer seconds than Nolan took to complete his multiplication timed test. Kong took 858585 seconds.
netineya [11]

Answer:

Nolan's time is 100 seconds.

Step-by-step explanation:

Kong took 85 seconds.

Nolan took x seconds.

Kong took 15% fewer seconds than Nolan, so Kong's time is 85% of Nolan's time.

Kong's time is

85% of x or 0.85x

Kong's time is 85 seconds

0.85x = 85

x = 85/0.85

x = 100

Nolan's time is 100 seconds.

3 0
2 years ago
Y=VX+4<br> What’s the answer
shepuryov [24]

Answer: V = slope or  gradient of the equation

Step-by-step explanation:

y = VX + 4

From equation of a straight line

y = mx + c

where m is the gradient or slope

Therefore

V= slope or gradient of the equation

6 0
3 years ago
Hey can someone help me ? I’ll give brainliest !!
Luda [366]
7 bc I’m so smart thank you ciaoooooo
4 0
3 years ago
Read 2 more answers
Other questions:
  • Y" - 4y = ((x^2) - 3) sin 2x
    6·1 answer
  • Please help!! how do i figure out the percent of yearly budget column
    8·1 answer
  • What is the equation of the linear function represented by the table?
    15·2 answers
  • If a bus is typically 10 yds long, how many inches would it be? (1yd = 3ft) (1ft = 12in)
    8·1 answer
  • rachel is frosting the top of two cakes and wants to know which cake will require more frosting. one cake is round with a diamet
    5·1 answer
  • T bone steak cost $7.24 a pound. If you want to buy 2.25 pounds what would be the cost.
    7·1 answer
  • PLEASE HEELP AND THANK YOU
    14·2 answers
  • Find the missing exponent.<br> 100 = 1,000<br> Submit
    8·1 answer
  • What is an equation in point-slope form of the line that passes through the point (4,4) and has a slope of -5?
    6·1 answer
  • Add 77 -10 with its additive inverse.​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!