8) What are the measures of angles x, y, and z?

Answer:

n = 108

Step-by-step explanation:

The three medians of a triangle intersect at the same point inside the triangle.

The segment from a vertex to the point in the center is 2 times as long as the

other part of the median line.  So OC is 2 times KC.

KC =108    

OC = 2(108)

2n + 10 = 216

2n = 206

n = 108

In ΔABC , Value of [tex]n= 31[/tex] as per given condition of median of a triangle .

" Median of a triangle is defined as the line segment passing the vertex of a triangle and intersect at mid point of its opposite side.Intersecting point of three medians is known as Centroid."

Property used

Centroid divides the median in the ratio of [tex]2:1[/tex] from vertex side.

According to the question,

Given,

In ΔABC,

BL, AM, CK are the medians of a triangle ABC.

'O' represents the Centroid

[tex]KC = 108\\\\OC = 2n +10[/tex]

Ratio of [tex]KC : OC = 3: 2[/tex]

Substitute the value of KC and OC we get,

[tex]108 : (2n + 10) = 3:2\\\\\implies 3 (2n+ 10) = 2(108)\\\\\implies 6n + 30 = 216\\\\\implies 6n = 186\\\\\implies n = 31[/tex]

Hence, in ΔABC , Value of [tex]n= 31[/tex] as per given condition of median of a triangle .

Learn more about median of a triangle here

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ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal. If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Answer:

x = 42/5 is the answer to this question

Option B is correct, the solution to the equation is x = 42/5.

The given equation is 1/3(x + 3/5) = 3.

We have to solve for x:

x is the variable in the equation.

Multiply both sides by 3 to get rid of the fraction:

1/3(x + 3/5) × 3 = 3 × 3

(x + 3/5) = 9

Subtract 3/5 from both sides to isolate the x term:

(x + 3/5) - 3/5 = 9 - 3/5

x = 9 - 3/5

Now, to combine the terms on the right side:

x = 45/5 - 3/5

x = 42/5

Therefore, the solution to the equation is x = 42/5.

To learn more on Equation:

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Answer:

The measure of <CAO = 21°

2x + 31 = 5

2x = 5 - 31

2x = -26

x = -26/2

x = -13.

_______

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

[tex] \sf \: 2x + 31 = 5[/tex]

[tex]\sf \longmapsto \: 2x = 5 - 31[/tex]

[tex]\sf \longmapsto \: 2x = -26[/tex]

[tex]\sf \longmapsto{x }= \frac{ - 26}{2} [/tex]

[tex]\sf \longmapsto \: x = - 13[/tex]

[tex] \boxed{\sf - 13}[/tex]

Answer:

2333

Step-by-step explanation:

Answer:

257

Step-by-step explanation:

216 + (5 x(8 + 1/5)

Answer:

11'

Step-by-step explanation:

Answer:

n = - 6

Step-by-step explanation:

Given (x + h) is a factor of a polynomial f(x) then f(- h) = 0

Here

f(x) = x³ + 2x² - 5x + n and (x + 3) is a factor then f(- 3) = 0 , that is

f(- 3) = (- 3)³ + 2(- 3)² - 5(- 3) + n = 0 , so

- 27 + 2(9) + 15 + n = 0

- 27 + 18 + 15 + n = 0

6 + n = 0 ( subtract 6 from both sides )

n = - 6

Step-by-step explanation:

Statement                                                        Reason                              

∠5 and ∠7 are vertical angles                        Vertical angles theorem

m∠5 = m∠7                                                      Definition of vertical angles

m∠5 = -2(3x - 4), m∠7 = 3(x - 3) - 1                  Given

-2(3x - 4) = 3(x - 3) - 1                                       Substitution property of equality

-6x + 8 = 3x - 9 - 1                                            Distributive property

3x + 6x = 8 + 10                                               Addition property

9x = 18                                                              Addition property

x = 18/9                                                             Division property

x = 2                                                                  Proved

Answer:

See attached

Step-by-step explanation:

  First, our y-intercept must be $50 because no matter how many people come, there will be the cost of the room for $50. Then, for every person that comes, the price will increase by $10. Since the y-axis is going by tens, this will look like a 1/1 slope.

  The first point is at (0, 50) and you can see the rest of the ray graphed

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

23 i think

Step-by-step explanation:

Answer:

Well 5 times 1 is 2.5 which can't be and integer

so I looked it up an this is what I got How do you write 2.5 as an integer?

If this is the question, then Integer-Part[2.5] = 2, and the Fractional-Part[2.5] = . 5.

I would put 3 it because 2.5 as a hole number is 3

Step-by-step explanation:

Answer:

i

Step-by-step explanation:

We have to match the corresponding angles and sides of the 2 triangles.

∡ A corresponds to ∡ D

∡ B corresponds to ∡ C

∡ C corresponds to ∡ B

i)   Δ B  A  C ≅

      ⇵ ⇵ ⇵

    Δ C  D  B

Answer:

x^2+5x-14

Step-by-step explanation:

Using FOIL method, we get (x^2)+(-2x)+(7x)+(-14), which is just x^2+5x-14

FOIL = First, Outer, Inner, Last

Answer:

m∠2 = 98°,   m∠3 = 82°

Step-by-step explanation:

I'm going to assume this is a straight angle

Supplementary angle are two angles that equal 180°

m∠2+m∠3=180°

m∠2+m∠2-16=196°

2m∠2=196°

m∠2=98°

Since we said m∠3 = m∠2 - 16°

m∠3 = 82°

Answer:

9506

Example:

Multiply the 7 and 8 to get 56.

Since 56 is greater than 9, you'll have to carry the 5.

       5

       9 7

x 9 8

___________

               6

Multiply the 9 and 8 to get 72.

And, add the carried 5 to get 77.

77 is greater than 9, but there are no more digits to carry over, so just write the 7 down in front.

   7  5

       9 7

x 9 8

___________

       7    7   6

Multiply the 7 and 9 to get 63.

Since 63 is greater than 9, you'll have to carry the 6.

       6

       9 7

x 9 8

___________

       7    7   6

             3   0

_____________

Multiply the 9 and 9 to get 81.

And, add the carried 6 to get 87.

87 is greater than 9, but there are no more digits to carry over, so just write the 8 down in front.

   8  6

       9    7

x 9    8

___________

       7    7   6

  8   7    3   0

_____________

Then add 776 + 8730 to get your answer which is 9506! :)

  1    1

      7   7  6

+  8  7  3  0

_________

    9  5  0  6

Answer:

4th one

Step-by-step explanation:

Answer:

Step-by-step explanation:

−2/9x+2.7=4

subtract 2.7 from both sides

-2.9x = 1.3

divide -2.9 from both sides

x= -.4482 or x= -.45

Answer:

g(-4) = 24 + 3 = 27

Step-by-step explanation:

We find the value of g(-4) by substituting -4 for x in g(x)= −6x + 3:

g(-4) = -6(-4) + 3, or

g(-4) = 24 + 3 = 27

Answer:

27

Step-by-step explanation:

substitute -4 for x

-6(-4) + 3

24 + 3

27

hope it helps :)

mark brainliest!!

Answer:yes

Step-by-step explanation:

Answer: x=2  y=18

Step-by-step explanation

Answer:

s(c)= 4.4c

Step-by-step explanation: