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3 years ago

What can be concluded if ABC and CBD are a linear pair?

1 answer:

3 0

A linear pair mean that the angles are adjacent (side by side) to each other and that they are supplementary (sum of their angles is 180 degrees). Thus, the angles should form a straight angle or an angle with a measure of 180 degrees.

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The length of the side of a square is 2x + 3y. Find the area of the square in terms of x and y

Angelina_Jolie [31]

Answer:

it stays the same because there is no simplifying it and the re are no like terms

6 0

3 years ago

Solve for the missing length

Fofino [41]

Answer:

2 * sqrt(13)

Step-by-step explanation:

Use pythagoras' theorem.

4^2 + 6^2 = x^2 = 16 + 36 = 52 = 4*13

x = sqrt(4*13)=2 * sqrt(13)

6 0

2 years ago

A bakery has the following pricing for large orders of cupcakes. The first 100 cupcakes of any order

Taya2010 [7]

A piecewise function is a function that behaves differently in different intervals of its domain.

The answers are:

f(x) = x*$2.00 if 0 ≤ x ≤ 100

f(x) = x*$1.75 if 100 < x ≤ 250

f(x) = x*$1.25 if x > 250.

b) $306.25

The given information is:

The first 100 cupcakes cost $2.00 each.

If the order is between 100 and 250 cupcakes, the cost is $1.75 each.

If the order is more than 250 cupcakes, the cost is $1.25 each.

a) Now we want to write the piecewise function, this will be:

f(x) = x*$2.00 if 0 ≤ x ≤ 100

f(x) = x*$1.75 if 100 < x ≤ 250

f(x) = x*$1.25 if x > 250.

Above you can see the piecewise function, when you want to evaluate it, the first thing you need to do is to find at which interval the input belongs.

b) If you order 175 cupcakes you have x = 175.

This belongs to the second interval ( 100 < x ≤ 250) then we will use the second part of the function:

f(175) = 175*$1.75 = $306.25

If you want to learn more, you can read:

brainly.com/question/12561612

8 0

2 years ago

Find the monthly payment for the loan. Finance $500,000 for an apartment complex with a 12.3% 10-year loan.

Marina86 [1]

Using it's formula, it is found that the monthly payments for the loan of the apartment is of $7,260.50.

<h3>What is the monthly payment formula?</h3>

It is given by:

$A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}$

In which:

P is the initial amount.

r is the interest rate.

n is the number of payments.

In this problem, the parameters are given as follows:

P = 500000, r = 0.123, n = 12 x 10 = 120.

Hence:

r/12 = 0.123/12 = 0.01025.

Then, the monthly payments will be of:

$A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}$

$A = 500000\frac{0.01025(1+0.01025)^{120}}{(1+0.01025)^{120} - 1}$

A = 7260.50.

More can be learned about the monthly payment formula at brainly.com/question/26267630

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6 0

2 years ago

What is 879 minus 690?

malfutka [58]

Answer:

189

Step-by-step explanation:

6 0

3 years ago