QUESTION 7, Saturday, October 10th, 2020

I have some geometry questions today. Please include your thoughts or reasoning with your answer. Please ignore the answer I selected for it was not an purpose. Thanks!

Answer:

37

22

44

66

Step-by-step explanation:

the value of x is 37

the length of segment DG is 22 units

The length of segment AG is 44 units

the length of segment AD is 66 units

took it on edg

hope this helps (:

The length from the vertex to the centroid is twice the length from the

centroid to the midpoint of the opposite side.

Reasons:

The known parameters are;

The centroid of ΔABC = Point G

Segments [tex]\overline {AD}[/tex], [tex]\overline {BE}[/tex], and [tex]\overline {CF}[/tex] are the medians of ΔABC

Length of line segments [tex]\overline {DG}[/tex] = x - 15

Length of line segments [tex]\overline {GA}[/tex] = x + 7

Required:

The value of x, and lengths of the segments of median [tex]\overline {AD}[/tex]

The median is divided at the centroid of the triangle to ratio 2:1

[tex]Length \ of \ line \ segment \ \overline{GA} = \dfrac{2}{3} \times \overline{AD}[/tex]

Therefore;

[tex]\overline{AD} = \mathbf{\dfrac{3}{2} \times \overline{GA}}[/tex]

[tex]Length \ of \ line \ segment \ \overline{DG} = \mathbf{\dfrac{1}{3} \times \overline{AD}}[/tex]

Therefore;

[tex]\overline{AD} = 3\times \overline{DG}[/tex]

Which gives;

[tex]\dfrac{3}{2} \times \overline{GA} = 3\times \overline{DG}[/tex]

Therefore;

[tex]\dfrac{3}{2} \times (x + 7) = 3\times (x - 15)[/tex]

3·x + 21 = 6·x - 90

21 + 90 = 6·x - 3·x

111 = 3·x

3·x = 111

[tex]x = \dfrac{111}{3} = 37[/tex]

x = 37

[tex]\overline {DG}[/tex] = x - 15

The length of line segment [tex]\overline {DG}[/tex] = 37 - 15 = 22

[tex]\overline {GA}[/tex] = x + 7

Length of line segment [tex]\overline {GA}[/tex] = 37 + 7 = 44

[tex]\overline {AD}[/tex] = [tex]\overline {DG}[/tex] + [tex]\overline {GA}[/tex]

Therefore;

Length of line segment [tex]\overline {AD}[/tex] = 22 + 44 = 66

Learn more here:

https://brainly.com/question/7698132

Answer:

it should be 10x+3y=30 if im not mistaken

Step-by-step explanation:

you just add straight down with corresponding variables

Answer:

27.6

Step-by-step explanation:

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Answer:

27.625

Step-by-step explanation:

you need to add all those numbers and then divide your answer by the amount of numbers there are

20+22+25+28+29+30+33+34 =221

221÷8

Answer:

See below

Step-by-step explanation:

(-4, 8) has to be the solution.

1st equation: -4x+8y = 1

2nd equation: 8x - 4y = 1

These should work. Do the matrix-substitution combo method to see:

-4  8  1

.8 -4  -1

Reduce and and matrix-substitution combo:

1 0 -4

0 1  8

The reduced eckerd form of the matrix shows that the solutions are (-4, 8)

Therefore it -4x + 8u = 1 and 8x - 4y = 1 are the two equations for the system.

Answer:

Discrete

Step-by-step explanation:

Given the function:

f(x) = 100x + 300

Where ;

x = number of attendees

At least 4 students but no more than 9 students will attend the fieldtrip due to transportation and chaperone restrictions

Range of attendees :

4 ≤ x ≤ 9

Is this a discrete or continuous situation?

It is a discrete because the number of students who will attend the science weekend are finite and countable.

The number of attendees range from:

4, 5, 6, 7, 8 and 9.

Answer:

Step-by-step explanation:

(x, y) = (0, __) ⇒ x=0

y = 2(x - 5)² + 4

y = 2(0 - 5)² + 4

y = 2×25 + 4

y = 50 + 4

y = 54  ⇒  (0, 54)

I hope this helps

I also would appreciate brainless

Answer:

The integers:    53, 54, 55, 56

Step-by-step explanation:

Consecutive integers increase by 1, so if x is the smallest one, then the numbers are:

                      x,  x+1,  x+2,  x+3

the sum of the second and fourth: x+1 + x+3 = 2x+4

so:   2x + 4 = 110  ⇒  2x = 106   ⇒   x = 53

So the integers we are looking for:

                                                           53, 54, 55, 56

Answer:

x=37 Hope this helped <3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x+7=2(x−15)

x+7=(2)(x)+(2)(−15)(Distribute)

x+7=2x+−30

x+7=2x−30

Step 2: Subtract 2x from both sides.

x+7−2x=2x−30−2x

−x+7=−30

Step 3: Subtract 7 from both sides.

−x+7−7=−30−7

−x=−37

Step 4: Divide both sides by -1

Answer:

[tex]\boxed {x = 37}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]x + 7 = 2(x - 15)[/tex]

-Use Distributive Property:

[tex]x + 7 = 2(x - 15)[/tex]

[tex]x + 7 = 2x - 30[/tex]

-Take [tex]2x[/tex] and subtract it from [tex]x[/tex]:

[tex]x + 7 - 2x = 2x - 2x - 30[/tex]

[tex]-x + 7 = -30[/tex]

-Subtract [tex]7[/tex] to both sides:

[tex]-x + 7 - 7 = -30 - 7[/tex]

[tex]-x = -37[/tex]

-Divide both sides by [tex]-1[/tex]:

[tex]\frac{-x}{-1} = \frac{-37}{-1}[/tex]

[tex]\boxed {x = 37}[/tex]

So, the value of [tex]x[/tex] is [tex]37[/tex].

Answer:

y = [tex]-\frac{1}{5}[/tex]x - 4

Step-by-step explanation:

Given parameters:

   Coordinates  = (5, -5)

 Equation of the line, x + 5y = 20

Unknown:

Equation of the line parallel to this= ?

Solution:

To find the equation of the line, we must first understand that parallel lines are lines having the same slope. They do not cross each other at any point.

The equation of any straight line is given as;

          y = mx + c

y and x are the coordinates

m is the slope

c is the y- intercept

  Now,

         x + 5y = 20

  Let us find the slope of this line;

            5y  = -x + 20

Divide through by 5;

            y  = [tex]-\frac{1}{5}[/tex]x + 4

The slope of the new line is the coefficient of x;

  Slope =  [tex]-\frac{1}{5}[/tex]

So, let us find the y-intercept of the new line;

          -5 = [tex]-\frac{1}{5}[/tex] x 5 + c

          -5 = -1  + c

           c = -5 + 1   = -4

Now,

    y = [tex]-\frac{1}{5}[/tex]x - 4

Answer: y = -(1/5)x - 4

Step-by-step explanation:

Answer:

2 2/5

Step-by-step explanation:

Answer:

I think its 2 good luck

Step-by-step explanation:

Answer:

100 degrees and 80 degrees are supplementary angles

Step-by-step explanation:

2 angles are supplementary if they add up to 180 degrees

Step-by-step explanation:

[tex] -3x + 4=6x-5\\\\6x+3x=4+5\\\\9x=9\\\\x=\sf{\dfrac{9}{9}}\\\\X=1[/tex]

Answer:

-3

Step-by-step explanation:

Answer:

1 = 6,0

2= 2,3

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

All the angles in a triangle must add up to 180 degrees. Let's test this with the values given:

[tex]111+28+31[/tex]

[tex]= 170[/tex]

These angles only add up to 170°. Therefore, the answer is false, and these measures do not form a triangle.

Answer:

a>4 or a 9

Step-by-step explanation:

-9 is less than 7 thats why its a>4 or 8 a 9

Answer:

Total amount (A) = $3,955

Step-by-step explanation:

Given:

Initial deposit (P) = $3,500

Rate of interest  (r) = 3.25%

Number of years (t) = 4

Find:

Total amount (A)

Computation:

Simple interest = (p)(r)(t)

Simple interest =  (3,500)(3.25)(4)

Simple Interest = $455

Total amount (A) = Initial deposit (P) + Simple Interest

Total amount (A) = 3,500 + 455

Total amount (A) = $3,955

Answer:

it was B

Step-by-step explanation:

cause i smart

Answer:

B

Step-by-step explanation:

Just took the test

Answer:

a3+27

a +BC

=a 30

30+a

=30ⁿ

0-Yellow

0.25-Green

-2-Blue

/-Green

π-Purple

I wish that answers your question

Thank You

Answer:

A=1\8

c=4

then b=2

i am only do this by getting fun and do for help other

The value of [b] if a = 1/8 and c = 4 will be 33/16.

The mean of two numbers [a] and [b] is -

[M] = (a + b)/2

Given is that a = 1/8 and c = 4.

We have the following values -

a = 1/8

c = 4

Therefore, we can write the value of [b] as -

b= (1/8 + 4)/2

b = (33/8)/2

b = 33/8 x 1/2

b = 33/16

Therefore, the value of [b] if a = 1/8 and c = 4 will be 33/16.

To solve more questions on mean, visit the link below-

https://brainly.com/question/27270417

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Answer: subtract 5 from the input to get the output.

Step-by-step explanation:

Answer:

vertex = (1, - 5 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = (x - 1)² - 5 ← is in vertex form

with (h, k ) = (1, - 5 ) ← vertex

Answer:x=-20

Step-by-step explanation: