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klasskru [66]
3 years ago
12

Given ΔKLM with lengths as marked, what is the relationship of segment NO to segment KL?

Mathematics
1 answer:
Oliga [24]3 years ago
6 0

Segment NO is parallel to the segment KL.

Solution:

Given KLM is a triangle.

MN = NK and MO = OL

It clearly shows that NO is the mid-segment of ΔKLM.

By mid-segment theorem,

<em>The segment connecting two points of the triangle is parallel to the third side and is half of that side.</em>

⇒ NO || KL and NO = \frac{1}{2}KL

Therefore segment NO is parallel to the segment KL.

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Generate the nest three terms of each arithmetic sequence shown below.
o-na [289]

Answer:

A)2,6,10

B)2,-6,-18

C)-1,-3,-5

Step-by-step explanation:

<u>A)a1=-2 and d=4</u>

We know that the arithmetic sequence formula is

a_{n}=a_{1}+(n-1)d

Now

a_{2}=a_{1}+(2-1)d

a_{2}=a_{1}+(1)d

Substituting the given value we get

a_{2}= -2+(1)4

a_{2}= -2+4

a_{2}= 2

------------------------------------------

Similarly

a_{3}=a_{1}+(3-1)d

a_{3}=a_{1}+(2)d

Substituting the given value we get

a_{3}= -2+(2)4

a_{3}= -2+8

a_{3}= 6

-------------------------------------------------

a_{4}=a_{1}+(4-1)d

a_{4}=a_{1}+(3)d

Substituting the given value we get

a_{4}= -2+(3)4

a_{4}= -2+16

a_{4}= 10

-------------------------------------------------------------------------------------------

<u>B</u><u>  a_n=a_{(n-1)}-8  with a_1=10</u>

a_2=a_{(2-1)}-8

a_2=a_{1}-8

Substituting the given value

a_2= 10-8

a_2=2

---------------------------------------------------------------------

a_3=a_{(3-1)}-8

a_3=a_{2}-8

Substituting the  value

a_3=2-8

a_3= -6

---------------------------------------------------------------------

a_4=a_{(4-1)}-8

a_4=a_{3}-8

Substituting the  value

a_4= -6-8

a_4= -14

-------------------------------------------------------------------------------------------

<u>C) a_1=3, a_2=1</u>

Here the difference is -2

the arithmetic sequence formula is

a_{n}=a_{1}+(n-1)d

Now

a_{3}=a_{1}+(3-1)d

a_{3}=a_{1}+(2)d

Substituting the value we get

a_{3}= 3+(2)-2

a_{3}= 3-4

a_{3}= -1

------------------------------------------------------------------------------

a_{4}=a_{1}+(4-1)d

a_{4}=a_{1}+(3)d

Substituting the value we get

a_{4}= 3+(3)-2

a_{4}= 3-6

a_{4}= -3

----------------------------------------------------------------------------------

a_{5}=a_{1}+(5-1)d

a_{5}=a_{1}+(4)d

Substituting the value we get

a_{5}= 3+(4)-2

a_{5}= 3-8

a_{5}= -5

4 0
3 years ago
College Algebra: Systems of Equations &amp; Inequalities
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play the video it will help you

3 0
3 years ago
Standardization of Normal Distribution is the process of
n200080 [17]

Answer:

Step-by-step explanation:

Standardizing a normal distribution is to convert a normal distribution to the standard normal distribution. In real-world applications, a continuous random variable may have a normal distribution with a value of the mean that is different from 0 and a value of the standard deviation that is different from 1.

7 0
2 years ago
Expressed as a product of its prime factors in index form, a number N is
Elena-2011 [213]

<u>ANSWER</u>



5N^2=3^{2} \times 5^{5} \times x^{6}



<u>EXPLANATION</u>


N=3\times5^2 \times x^3.


5N^2=5(3\times5^2 \times x^3)^2


Recall this property of exponents;


(a^m)^2=a^{m} \times a^m



So our product becomes;


5N^2=5(3\times5^2 \times x^3) \times (3\times5^2 \times x^3)



5N^2=5\times 3\times 3 \times 5^2 \times 5^2 \times x^3 \times x^3


5N^2=3\times 3\times 5 \times 5^2 \times 5^2 \times x^3 \times x^3



Recall this law of exponents:


a^m \times a^n =a ^{m+n}


5N^2=3^{1+1} \times 5^{1+2+2} \times x^{3+3}


5N^2=3^{2} \times 5^{5} \times x^{6}




7 0
3 years ago
1. Which description best describes the solution to the following system of equations?
Alisiya [41]
1. The best answer is A since a solution is where 2 lines intersect. Whether or not they intersect the x or y axis is completely irrelevant (so is whether they intersect the origin).

2. y=-x+5
-x+5=1/2x+2
-x+3=1/2x
3=3/2x
2=x

y=-(2)+5
y=3

Answer: (2,3)

3. It seems like the lines are completely on top of each other (coinciding) so there are infinitely many solutions.
6 0
3 years ago
Read 2 more answers
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