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2 years ago

Write a two-column proof.

Mathematics

1 answer:

Tpy6a [65]2 years ago

5 0

Answer with Step-by-step explanation:

Since we have given that

Angle 12 and angle 11 are complementary.

Mathematically, it is expressed as

$\angle 12+\angle 11=90^\circ$ ------------(1)

measure of angle 10 + measure of angle 11 = 90 degrees.

Mathematically, it is expressed as

$\angle 10+\angle 11=90^\circ$ ----------------(2)

From eq(1), and eq(2), we get that

$\angle 12+\angle 11=\angle 10+\angle 11\\\\\angle 12=\angle 10$

Hence, angle 12 is congruent to angle 10.

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The english alphabet contains 21 consonants and five vowels. how many strings of six letters, each of which is drawn from the en

Mamont248 [21]

Number of strings = $21^5(5)$ = 21 x 21 x 21 x 21 x 21 x 5 = 20 420 505

Answer: 20 420 505

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2 years ago

Determine whether the improper integral converges or diverges, and find the value of each that converges.

Brrunno [24]

Answer:

Converges at -1

Step-by-step explanation:

The integral converges if the limit exists, if the limit does not exist or if the limit is infinity it diverges.

We will make use of integral by parts to determine:

let:

$u=x$ $dv=e^(2x)\cdot{dx}$

$du=dx$ $v=2\cdot{e^(2x)}$

$\int\limits^a_b {u} \, dv = uv -\int\limits^a_b {v} \, du$

$\int\limits^a_b {x\cdot{e^2^x} \, dx =2xe^2^x- \int\limits^a_b {2e^2^x} \, dx$

$\int\limits^a_b {xe^2^x} \, dx = 2xe^2^x-2e^2^x-C$

We can therefore determine that if x tends to 0 the limit is -1

$\lim_{x \to \0} 2xe^2^x-2e^2^x=0-1=-1$

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2 years ago

Which number between 17/4and 20

Talja [164]

Answer : 4.485
I’m pretty sure I just went with someone else answer !

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2 years ago

A certain library charges a flat fee of $5 for any overdue book for the first x days the book is overdue, and an additional fee

sweet [91]

Answer: 5 (x > 12) or 5 + m(12 - x) (x < 12)

Step-by-step explanation:

flat fee $5 for first x days +

m dolars per day after x days

So, if x > 12, for 12 days the fee is $5 because it is a flat fee that do not depend of the numbers of day.

But, we do not know how many days x is, so

if x < 12, a person will pay, for 12 days, the m times the difference of the days passed x:

5 + m(12-x)

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2 years ago

In a deck of cards with 52 cards and 4 suits, what is the probability of getting an ace?

Katarina [22]

The probability of getting a ace is 8/52

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2 years ago

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