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spayn [35]
2 years ago
14

Find measure of n..............​

Mathematics
1 answer:
goldfiish [28.3K]2 years ago
6 0

Answer:

m<N = 51

Step-by-step explanation:

The given shape is a parallelogram

suppose KL || NM:

We can write the following equation

m<K = m<M and

8x + 17 = 12x - 39 transfer like terms to the same side of the equation

17 + 39 = 12x - 8x

56 = 4x divide both sides by 4

14 = x

Now to find the measure of n:

again suppose KL || NM then m<K + m<N = 180

m<K = 8*14 + 17 since we found x = 14

8*14 + 17 = 129 and m<N

180 - 129 = 51

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Vinil7 [7]

Answer:

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3 0
3 years ago
Find the length of a diagonal of a square with sides 10in. long
Ghella [55]
Hey!!!
Answer is....
diagonals of square bisect each other at right angles.
let diagonal be 2x
Using Pythagoras in a triangle enclosed by a side and 2 half diagonals...
{x}^{2}  +  {x}^{2}  =  {10}^{2}
2 {x}^{2}  = 100
{x }^{2}  = 50
x =  \sqrt{50}
side of a diagonal=2 sqrt50
= 10 \sqrt{2}
cm......



HOPE IT HELPS YOU '_'
3 0
3 years ago
Read 2 more answers
Choose whether it's always, sometimes, never 
Keith_Richards [23]

Answer: An integer added to an integer is an integer, this statement is always true. A polynomial subtracted from a polynomial is a polynomial, this statement is always true. A polynomial divided by a polynomial is a polynomial, this statement is sometimes true. A polynomial multiplied by a polynomial is a polynomial, this statement is always true.

Explanation:

1)

The closure property of integer states that the addition, subtraction and multiplication is integers is always an integer.

If a\in Z\text{ and }b\in Z, then a+b\in Z.

Therefore, an integer added to an integer is an integer, this statement is always true.

2)

A polynomial is in the form of,

p(x)=a_nx^n+a_{n-1}x^{x-1}+...+a_1x+a_0

Where a_n,a_{n-1},...,a_1,a_0 are constant coefficient.

When we subtract the two polynomial then the resultant is also a polynomial form.

Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.

3)

If a polynomial divided by a polynomial  then it may or may not be a polynomial.

If the degree of numerator polynomial is higher than the degree of denominator polynomial then it may be a polynomial.

For example:

f(x)=x^2-2x+5x-10 \text{ and } g(x)=x-2

Then \frac{f(x)}{g(x)}=x^2+5, which a polynomial.

If the degree of numerator polynomial is less than the degree of denominator polynomial then it is a rational function.

For example:

f(x)=x^2-2x+5x-10 \text{ and } g(x)=x-2

Then \frac{g(x)}{f(x)}=\frac{1}{x^2+5}, which a not a polynomial.

Therefore, a polynomial divided by a polynomial is a polynomial, this statement is sometimes true.

4)

As we know a polynomial is in the form of,

p(x)=a_nx^n+a_{n-1}x^{x-1}+...+a_1x+a_0

Where a_n,a_{n-1},...,a_1,a_0 are constant coefficient.

When we multiply the two polynomial, the degree of the resultand function is addition of degree of both polyminals and the resultant is also a polynomial form.

Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.

3 0
3 years ago
Read 2 more answers
If a medium pizza costs $5 and a large pizza is $8, write an equation in standard form that models the possible combinations of
stealth61 [152]
<span>NEVER use a lower case L as a variable
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$5M+$8L=$45
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Medium only:
$5M+$8(0)=$45
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5 0
3 years ago
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7 0
3 years ago
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