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3 years ago

The opposite sides of a parallelogram are always sometimes or never congruent

Mathematics

2 answers:

KengaRu [80]3 years ago

6 0

Always congruent due to the way the shape is built

mariarad [96]3 years ago

5 0

Its always congruent

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F. x4 + 2x3 +6x² + 4x+8 by x2 +2.

Anna71 [15]

Answer:

explain correctly please

5 0

3 years ago

How do you Write 29/9 as a mixed number.

Oksi-84 [34.3K]

To write an improper fraction a mixed number you start by seeing how many times the denominator (bottom number) goes in to the numerator (top number). Since the denominator is 9 and the numerator is 29, 9 goes into 29 3 times. The left over numbers become the fraction of which is in simplest form.
3 x 9 = 27
29 - 27 = 2

Mixed number: 3 2/9

4 0

3 years ago

Read 2 more answers

What is the approximate square root of 12 to the nearest integer

Licemer1 [7]

Answer:

Step-by-step explanation:

3² = 9, so √9 = 3

4² = 16, so √16 = 4.

12 is closer to 9 than to 16, so √12 is closer to √9 than to √16.

√12 ≈ 3 (to the closest integer)

5 0

4 years ago

The box plot represents the distribution of the number of points scored by a cross country team at 12 meets. If possible, find t

Reil [10]

The median is the value equivalent to the vertical line as shown. Hence the median point is 34

<h3>What is a median?</h3>

The median is defined as the value at the middle after rearrangement.

From the given boxplot, we have the following

The minimum value is equivalent to the lower position of the whisker = 22

The maximum value is equivalent to the upper position of the whisker = 42

The median is the value vertical line in between the box = 34

The lower quartile (Q1) = starting point of the box = 33

Upper quartile (Q3) = end point of the box = 38

For the boxplot, the median is the value equivalent to the vertical line as shown. Hence the median point is 34

Learn more on boxplot here: brainly.com/question/12992903?referrer=searchResults

5 0

2 years ago

Rhonda wants to take out a 30-year, $280,000 loan with a 4.4% APR. She is considering purchasing 2 points, which will decrease h

Paha777 [63]

Given Information:

Loan amount = $280,000

Annual Percentage Rate = APR = 4.4% = 0.044

Number of years = 30

Required Information:

Monthly payment with points = ?

Monthly payment without points = ?

Answer:

Monthly payment with points = $1,361

Monthly payment without points = $1,402.13

Step-by-step explanation:

The monthly payment can be found using,

$MP = P\times \frac{r\times (1+r)^{n}}{(1+r)^{n} - 1}$

P is the loan amount.

Where interest rate r is given by

$r = \frac{APR}{12}$

Total number of payments n are given by

$n = 30\times12 = 360$

Monthly payment with points:

Rhonda is considering purchasing 2 points and each decreases APR by 0.125%

So the APR becomes

$APR = 4.4\% - 0.125(2)\\\\APR = 4.4\% - 0.25\%\\\\APR = 4.15\%$

and the corresponding interest rate r is

$r = \frac{APR}{12}\\\\r = \frac{4.15\%}{12}\\\\r = 0.3458\% \\\\r = 0.003458$

Finally, the monthly payment is

$MP =280,000\times \frac{0.003458\times (1+0.003458)^{360}}{(1+0.003458)^{360} - 1}\\\\MP =280,000\times 0.0048608 \\\\MP = \$ 1,361$

Monthly payment without points:

Interest rate r is,

$r = \frac{APR}{12} \\\\r = \frac{4.4}{12} \\\\r = 0.3667\% \\\\r = 0.003667$

Monthly payment is,

$MP =280,000\times \frac{0.003667\times (1+0.003667)^{360}}{(1+0.003667)^{360} - 1}\\\\MP =280,000\times 0.0050076 \\\\MP = \$ 1,402.13$

So monthly payment with points is $1,361 and monthly payment without points is $1,402.13

6 0

3 years ago