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3 years ago

Triangle KNM is isosceles, where angle N is the vertex.

Mathematics

2 answers:

pav-90 [236]3 years ago

6 0

Answer:

It's B. on edge 2020

Step-by-step explanation:

25°

Anika [276]3 years ago

5 0

Answer:

25°

Step-by-step explanation:

In isosceles triangle KNM, NL is a perpendicular bisector of angle KNM.

This means

$m\angle KNL=m\angle LNM$

Since

$m\angle KNL=(5x+10)^{\circ}\\ \\m\angle LNM=(6x-1)^{\circ},$

you have

$5x+10=6x-1\\ \\5x-6x=-1-10\\ \\-x=-11\\ \\x=11$

No, find the measure of angles KNL and LNM:

$m\angle KNL=(5\cdot 11+10)^{\circ}=65^{\circ}\\ \\m\angle LNM=(6\cdot 11-1)^{\circ}=65^{\circ}$

and the measure of angle KNM is

$m\angle KNM=m\angle KNL+m\angle LNM=65^{\circ}+65^{\circ}=130^{\circ}$

Angles adjacent to the base of isosceles triangle are congruent. The sum of the measures of all interior angles is 180°, then

$m\angle K=\dfrac{1}{2}(180^{\circ}-130^{\circ})=25^{\circ}$

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Answer:

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Step-by-step explanation:

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Answer:

$531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6$

Step-by-step explanation:

1 n=0

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This is where n is the exponent in

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Now we want to expand:

$(9a-10b)^6$ or we we can rewrite as $(9a+(-10b))^6$ .

Let's replace $x$ with $(9a)$ and $y$ with $(-10b)$ in the expansion:

$(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6$

$((9a)+(-10b))^6$

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3 years ago

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Sunny_sXe [5.5K]

Answer:

Option B.

Step-by-step explanation:

The given data set is

34, 35, 41, 28, 26, 29, 32, 36, 38, 40

We need to find the mean deviation of the given data.

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Mean of the data is

$Mean=\dfrac{\sum x}{n}$

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Formula for mean deviation is

$\text{Mean deviation}=\dfrac{\sum |x-mean|}{n}$

$\sum |x-mean|=|34-33.9|+|35-33.9|+|41-33.9|+|28-33.9|+|26-33.9|+|29-33.9|+ |32-33.9|+|36-33.9|+|38-33.9|+|40-33.9|=41.2$

$\text{Mean deviation}=\dfrac{41.2}{10}$

$\text{Mean deviation}=4.12$

The mean deviation of the ratings is 4.12.

Therefore, the correct option is B.

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Alexeev081 [22]

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