All categories

3 years ago

Solve for x. Enter your answer in the box. x = °

Mathematics

2 answers:

ValentinkaMS [17]3 years ago

7 0

Given any polygon with n sides, the sum of its interior angles is

$(n-2)\times 180^\circ$

Your polygon has 5 sides, so its interior angles sum up to

$(5-2)\times 180^\circ = 3\times 180^\circ = 540^\circ$

Which means that

$100+102+108+121+x = 540 \iff 431+x = 540 \iff x = 540 - 431 = 109$

Reika [66]3 years ago

6 0

x = 109°

3*180° - 100° - 102° - 108° - 121° = 109°

You might be interested in

PLEASE HELP ME ASAP BECAUSE I AM SLOWLY LOSING MY MIND-

Blababa [14]

Answer:

35 + 80 = 115

180 - 115 = 65

plzz brainliest........

3 0

3 years ago

Read 2 more answers

Question 1,2, and 3 how do i factor those? Can you show the work and explain how?

DiKsa [7]

1: $3n^{2}+9n+6$

notice that each part is divisible by 3

$3n^{2}$ ÷ 3 = $n^{2}$

9n ÷ 3 = 3n

6 ÷ 3 = 2

so it becomes $3(n^{2} +3n+2)$

3n can be rewritten as 2n+n

-you want to rewrite it into two numbers that multiply to the number that's alone (in this case 2)

which would get you

$3(n^{2} +2n+n+2)$

Now that it's rewritten, you can factor out n + 2 from the equation.

the answer is

3(n+2)(n+1)

And you can check that by multiplying (n+2)(n+1) which is $n^{2} +2n+n+2$ and then each of those by 3, which is $3n^{2} +6n+3n+6$ or $3n^{2}+9n+6$ , our origional equation

2: $28+x^{2} -11x$

So I rewrote this as $x^{2} -11x+28$ (it's the same thing, just reordered using the commutative property)

now -11x can be rewritten as -4x-7x

(remember, the two numbers should multiply to equal 28, which is our constant.)

$x^{2} -4x-7x+28$

now we can factor out x from the first expression and -7 from the second

$x(x-4)-7(x-4)$

and lastly you factor out x-4,

which would give you

(x-4)(x-7)

Make sure to check your work and make sure it multiplies to $x^{2} -11x+28$

3: $9x^{2} -12x+4$

The first thing I notice when looking at this problem is that both 9 and 4 are perfect squares. Not only that, but they are the squares of 2 and 3, which are products of -12

So if you rewrite 9 as $3^{2}$ and 4 as $2^{2}$ , the equation becomes

$3^{2} x^{2} -12x+2^{2}$

now that $3^{2} x^{2}$ is ugly so it can be turned into $(3x)^{2}$

and -12x can be rewritten as $-2*3x*2$

so our equation now looks like $(3x)^2-2*3x*2+2^{2}$

There's a rule that says $a^{2} -2ab+b^{2} = (a-b)^{2}$

In our case, a=3x and b=2

so the final answer is

$(3x-2)^2$

5 0

2 years ago

The volume of

BARSIC [14]

0.1

1*100 = 100
100/1000
=0.1

8 0

3 years ago

Read 2 more answers

Charlotte reads 8 1/3 pages of a book of in 10 minutes. What is her average reading rate in pages per minute?

shtirl [24]

The answer as a fraction is 5/6

We want to figure out how many pages Charlotte can read in 1 minute. Since we know how many pages she can read in 10 minutes, in order to find out how many she reads in 1 minute, simply do 10 divided by 8 1/3. Which will give you your answer, 5/6.

3 0

3 years ago

according to the law of conservation of energy, when a car uses 10,000J chemical energy from gasoline, how much energy will be t

Bogdan [553]

According to the Law of Conservation, 10,000 J of energy will be released and transformed into sound, heat, and mechanical energy. This is true because energy cannot be destroyed or created; it just transforms into some other type of energy.

Hope this helps!

6 0

3 years ago