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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°

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Convert 8.132132132... to a rational expression in the form of a fraction

kow [346]

Let x = 8.132132132... .

Then 1000x = 8132.132132132... .

Subtracting x from 1000x eliminates the fractional part, leaving you

999x = 8132 - 8 = 8124

Then

x = 8124/999 = 2708/333

6 0

2 years ago

mrs emily want to go shopping but only has $100 to spend. she wants to buy a pair of jeans for $35 and a few dress shirts for $1

stealth61 [152]

Answer:

35x+15y is less than or equal to 100.

Step-by-step explanation:

35 per Jean + 15 per shirt is less than or equal to 100

6 0

2 years ago

The probability that a farmer is in debt is 0.700. The probability that a farmer is in debt and also lives in the Midwest is 0.2

bogdanovich [222]

Answer:

0.4

Step-by-step explanation:

Given that:

P(debt) = P(D) = Probability of being in debt = 0.7

P(debt n Midwest) = P(Dn M) = probability of being in debt and lives in Midwest = 0.280

The probability that a randomly selected farmer lives in the Midwest given that he is in debt is?

P(M | D) = p(D n M) / p(D)

P(M | D) = 0.280 / 0.7

P(M | D) = 0.4

5 0

3 years ago

Long division 3x+1/6x^6+5x^5+2x^4-9x^3+7x^2-10x+2

inna [77]

$(6 x^{6}+5x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2) / (3x+1)$

We divide first number from first parenthesis with first number from second parenthesis. Then the resulting number we multiply by all numbers in second parenthesis and substract from first parenthesis.

$6 x^{6}/3x = 2 x^{5} \\ \\ 6 x^{6}+5x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2 - 6 x^{6} -2 x^{5} = 3x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2\\$

We repeat previous steps until we run out of numbers:
$3x^{5}/3x=x^{4} \\ \\ 3x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2-3x^{5}-x^{4}= \\ \\ x^{4}-9x^{3}+7x^{2}-10x+2 \\ \\ \\ x^{4}/3x= \frac{1}{3} x^{3} \\ \\ x^{4}-9x^{3}+7x^{2}-10x+2-x^{4}- \frac{1}{3} x^{3}= \\ \\ - \frac{28}{3} x^{3}+7x^{2}-10x+2 \\ \\ \\ - \frac{28}{3} x^{3}/3x= - \frac{28}{9} x^{2} \\ \\ - \frac{28}{3} x^{3}+7x^{2}-10x+2+ \frac{28}{3} x^{3}+ \frac{28}{9} x^{2} = \\ \\ \frac{91}{9} x^{2}-10x+2$
$\frac{91}{9} x^{2}/3x=\frac{91}{27} x \\ \\ \frac{91}{9} x^{2}-10x+2-\frac{91}{9} x^{2}-\frac{91}{27} x= \\ \\ -\frac{361}{27} x+2 \\ \\ \\ -\frac{361}{27} x/3x=-\frac{361}{81} \\ \\ -\frac{361}{27} x+2+\frac{361}{27}x+\frac{361}{27}= \\ \\ \frac{415}{27}$

We are left with a number that has no x inside. This is remainder.
The final solution is sum of all these solutions and remainder:
$(2 x^{5}+x^{4}+\frac{1}{3} x^{3} - \frac{28}{9} x^{2} +\frac{91}{27} x)+(-\frac{361}{81} )$

6 0

2 years ago

What is 1,054.0402 in expanded notation?

viktelen [127]

1,000 + 50 + 40 + 0.04 + 0.0002 is the number above in expanded notation.

3 0

2 years ago