Fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)

refer to attachment

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 .

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2x + 31 = 5

2x = 5 - 31

2x = -26

x = -26/2

x = -13.

_______

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[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:

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.

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[tex]x + 3x + 80 = 180 \\ 4x = 180 - 8 0 \\ 4x = 100 \\ x = \frac{100}{4} \\ x = 25 \: \: \: [/tex]

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:

4x + 4

Step-by-step explanation:

(4, 5) and (8, 6) are points on the line.

Using delta method:

4 to 8 = +4

5 to 6 = +1

Slope = 4

The line intercepts the y-axis at (0, 4)

Y-int = 4

Answer:

-1/2

Step-by-step explanation:

Tell me if you want a step by step.

Hope this helps. :)

Answer:

-1/2

Step-by-step explanation:

Answer:yes

Step-by-step explanation:

Answer:

Each pencil is $.50

Step-by-step explanation:

If the total amount she spends is 1.50 for 3 pencils, and each pencil costs the same. Then you have to divide the total amount by the variables. Leaving your equation to be:

1.50 ÷ 3

equaling

.50

Let cost of each pencil be x

ATQ

[tex]\\ \rm\hookrightarrow 3x=1.50[/tex]

[tex]\\ \rm\hookrightarrow x=1.5/3[/tex]

[tex]\\ \rm\hookrightarrow x=0.5[/tex]

Answer:

$40.5.

Step-by-step explanation:

if 1/5 of the book costs $13.5. then to find 3/5 you just have to times the answer by 3.

the answer is 524.47500

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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:

Area = 1/4 * pi * diameter^2

The area is 78.5^2

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: x = 4

Step-by-step explanation:  4x^2−32x+64=0

4(x−4)(x−4)=0

x−4=0 x−4=0

x=4

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:

The mean is 80, the median is 83, and the mode is 90

Step-by-step explanation:

200-85=115 will be the answer.

Answer:

1 hour

Step-by-step explanation:

Matthew runs 1 mile every 5 minutes at a constant rate. You would have to multiply by 12 on both sides to get 12 miles and 5x12 would equal 60 minutes which is 1 hour.

Answer:

the Answer is 60 miles per hour

Answer:

y = -x + 3

Step-by-step explanation:

y = x - 3   This equation has a slope of 1

A line that would be perpendicular to the above line would then need a slope of -1

If the line has a slope of -1 and passes through (2, 1) then we can plug into

y = mx + b to get the 'b' value

1 = (-1)(2) + b

1 = -2 + b

3 = b

Equation would be y = -x + 3

The maximum dimension of the shelf is given by the space diagonal

length of the shelf.

A possible reason why the shelf hits the ceiling is because the ceiling is

less than or equal to 9 feet from the ground.

Reasons:

The maximum height of the shelf is given as follows;

The diagonal of one of the side = √(8² + 4²)

The diagonal of the completed shelve = √((√(8² + 4²))² + 1²) = 9

The maximum extension of the shelve = 9 feet

Given that the shelf touches the ceiling, we have, that maximum height of

the ceiling = 9 feet.

Therefore, the shelf touches the ceiling because, height from the floor to

the ceiling is lesser than equal to 9 feet.

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Answer:

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Answer: 6 & 10

Step-by-step explanation:

6 and 10 are 2 units away from a positive 8 on the number line

Answer:

1. 50% of a number

0.5

2. 10% of a number

0.1

3. 75% of a number

0.75

Step-by-step explanation:

this is because a percentage is the same as a decimal or a fraction

so 50% is 0.5 or 50/100

taking 50% of something is the same as multiplying by 50% or 0.5 or 50/100

same with 10% and 75%

Answer:

-4 is where the line crosses the y-axis

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 :)

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