Given: Angle A//Line B, <2 ~= <4<br> Prove: <1 ~=<3

HELP ANSWER QUICKLY PLS!!!!!

ollegr [7]

Answer:

Either B or C, most likely B tho

Step-by-step explanation:

6 0

3 years ago

In this question, the domain of discourse is a set of employees who work at a certain company. Ingrid is one of the employees at

krek1111 [17]

Answer:

Step-by-step explanation:

Define Sets:

S(x): x was sick yesterday

W(x): x went to work yesterday

V(x): x was on vacation yesterday

Find:

Logical expression with the same meaning of:

(a) Everyone was well and went to work yesterday.

(b) Everyone who was sick yesterday did not go to work.

(c) Yesterday someone was sick and went to work.

(d) Someone who missed work was neither sick nor on vacation

(e) Ingrid was sick yesterday but she went to work anyway.

Solution:

a) Everyone was well and went to work. People who could have possibly gone to work would have been who were well or un-well so the the resulting set would be.

A (x) = W(x) - (W(x) & S(x))

b) Everyone who was sick and did not go to work. Sick people may or may not go to work. Hence, the domain can be defined as:

B (x) = S(x) - (W(x) & S(x))

c) Someone who was sick and did not go to work. Sick people may or may not go to work. Hence, the domain can be defined as:

C (x) ⊆ (W(x) & S(x))

d) Someone who missed work was not sick not on vacation:

D (x) = ( W'(x) & S'(x) & V'(x))

e) Ingrid was sick but went to work,, answer to part c and e are the same

E (x) = C(x) ⊆ (W(x) & S(x))

5 0

3 years ago

Simplify and answer the boxes.

s2008m [1.1K]

Answer:

$\huge\boxed{\dfrac{x^2+9^2}{x-3y}+\dfrac{6xy}{3y-x}=x-3y}$

Step-by-step explanation:

Domain:

$x-3y\neq0\Rightarrow x\neq3y$

$\dfrac{x^2+9y^2}{x-3y}+\dfrac{6xy}{3y-x}=\dfrac{x^2+9y^2}{x-3y}+\dfrac{6xy}{-(x-3y)}\\\\=\dfrac{x^2+9y^2}{x-3y}-\dfrac{6xy}{x-3y}=\dfrac{x^2+9y^2-6xy}{x-3y}\\\\=\dfrac{x^2-2(x)(3y)+(3y)^2}{3y-x}=\dfrac{(x-3y)^2}{3y-x}\\\\=\dfrac{\bigg[-1(3y-x)\bigg]^2}{3y-x}=\dfrac{(-1)^2(3y-x)^2}{3y-x}\\\\=\dfrac{1(x-3y)(x-3y)}{x-3y}=x-3y$

Used:

The distributive property: a(b + c) = ab + ac

(a - b)² = a² - 2ab + b²

6 0

3 years ago

You owe $1,000 on a credit card that has an interest rate of 27.99% and make only the minimum payment of $20 each month. Which a

mel-nik [20]

Answer: The credit card will paid off within 10 years, therefore the correct option is D.

Explanation:

Let the number of years in which the credit card will aid of be x.

It is given that amount owed on credit card is $1000 with interest rate 27.99%.

So the amount of interest is calculated as,

$1000\times \frac{27.99}{100} =\$27.9$

The total amount have to pay is,

$\$1000+\$279.9=\$1279.9$

The minimum payment is $20 each month.

$x=\frac{1279.9}{20}$

$x=63.995$

So, the credit card will paid of in 63.995 months. We know that 1 year =12 months.

$\frac{63.995}{12} =5.33$

Therefore, the will paid of in 5.33 years, s we can say that the credit card will paid off within 10 years, therefore the correct option is D.

7 0

3 years ago

Read 2 more answers

What is the answer to 1/2 + 5/6

Allisa [31]

Answer:

The answer is 4/3

Step-by-step explanation:

To get the answer, first give the two fractions common denominators.

1/2 + 5/6

3/6 + 5/6 = 8/6

Now simplify the fraction by division both numbers by 2

8/6 = 4/3

8 0

3 years ago

Read 2 more answers

Given: Angle A//Line B, <2 ~= <4 Prove: <1 ~=<3