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
KonstantinChe [14]
3 years ago
5

The sum of the interior angles of a pentagon is _______. 180° 270° 360° 540°

Mathematics
1 answer:
monitta3 years ago
7 0

Answer:

The answer is 540°

Step-by-step explanation:

You might be interested in
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%20%5Csqrt%7Bx%20%5Csqrt%7Bx%20%5Csqrt%7Bx....%7D%20%7D%20%7D%20%7D%20%20%3D%20%
andrey2020 [161]

First observe that if a+b>0,

(a + b)^2 = a^2 + 2ab + b^2 \\\\ \implies a + b = \sqrt{a^2 + 2ab + b^2} = \sqrt{a^2 + ab + b(a + b)} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{\cdots}}}}

Let a=0 and b=x. It follows that

a+b = x = \sqrt{x \sqrt{x \sqrt{x \sqrt{\cdots}}}}

Now let b=1, so a^2+a=4x. Solving for a,

a^2 + a - 4x = 0 \implies a = \dfrac{-1 + \sqrt{1+16x}}2

which means

a+b = \dfrac{1 + \sqrt{1+16x}}2 = \sqrt{4x + \sqrt{4x + \sqrt{4x + \sqrt{\cdots}}}}

Now solve for x.

x = \dfrac{1 + \sqrt{1 + 16x}}2 \\\\ 2x = 1 + \sqrt{1 + 16x} \\\\ 2x - 1 = \sqrt{1 + 16x} \\\\ (2x-1)^2 = \left(\sqrt{1 + 16x}\right)^2

(note that we assume 2x-1\ge0)

4x^2 - 4x + 1 = 1 + 16x \\\\ 4x^2 - 20x = 0 \\\\ 4x (x - 5) = 0 \\\\ 4x = 0 \text{ or } x - 5 = 0 \\\\ \implies x = 0 \text{ or } \boxed{x = 5}

(we omit x=0 since 2\cdot0-1=-1\ge0 is not true)

3 0
1 year ago
I need to find measure of angle "u" m
Phoenix [80]
Can you take a better Pic? I can’t see the values.
7 0
3 years ago
Complete the proof.
trasher [3.6K]
You circle the points on both sides and then you calculate them and get what you need...
5 0
3 years ago
While shopping at a clearance sale, Samantha finds a $60.00 dress on sale for 25% off. Samantha also has a 50% off coupon. Which
liq [111]

It seems most likely that ...

... Samantha will save $37.50 because she must first find the 25% sale price before taking the extra 50% reduction

_____

In the real world, it seems probable that Samantha will be offered the choice of using the coupon <em>or</em> the sale discount. If she chooses tht 50% coupon, her savings will be $30. If she chooses the marked sale discount, her savings will be $15.

The scenario above assumes she gets 50% off the sale price of $45, so saves $15+22.50 = $37.50 off the original price.

6 0
3 years ago
Read 2 more answers
Luci and her friends go out to lunch and receive a bill for their meals that reads $56.80. How much would the
Liono4ka [1.6K]

Answer:

$68 and $10.792

Step-by-step explanation:

The computation is shown below:

The total bill received by them is $56.80

The total bill after adding 19% tip is

= Total bill + tip amount

= $56.80 + 19% of $56.80

=$56.80 + $10.792

= $67.592

= $68

The sever would make the amount i.e. equivalent to the tip amount i.e $10.792

6 0
2 years ago
Other questions:
  • A farm raises a total of 220 chickens and pigs. The number of legs of the stock in the farm totals 520. How many chickens and pi
    14·1 answer
  • Marisol rode her bicycle each day for five days.Estimate how far she biked in all.Round each number to the nearest whole number
    8·1 answer
  • What is the factored form of the polynomial?
    12·1 answer
  • Factor the following polynomial completely. -x2y2 + x4 + 9y2 - 9x2
    10·1 answer
  • Rina wants to ride the bumper cars 1 time and the Ferris wheel 5 times. It costs 1 ticket to ride the bumper cars and 1 ticket t
    12·1 answer
  • Pls help me giving brainless.​
    6·2 answers
  • Plz solve this question
    7·1 answer
  • Solve for x to the nearest tenth
    13·2 answers
  • A $3,200.00 principal earns 7% interest, compounded annually. After 3 years, what is the balance in the account? Round to the ne
    12·1 answer
  • Solve the quadratic equation 2x^2 + 6 = 8x by graphing.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!