Triangle F E D is cut by line segment H G. Line segment H G goes from side F D to side E D. The length of E G is 6 and the length of F H is 8. Lines E F and G H are parallel. What is the length of Line segment G D? please help!

Let us take the 2nd equation.

x + 2z = 4

x = 4 - 2z

Let us substitute this value of x in equation 1.

5x + 2y + z = 4

5(4-2z) + 2y + z = 4

20 - 10z + 2y + z = 4

2y - 9z + 20 = 4

2y = 9z - 16

y = (9z - 16)/2

Let us substitute this value of y, as well as that of x that we used earlier, in the third equation.

2x + y - z = -1

2(4-2z) + (9z-16)/2 + z = -1

8 - 4z + (9z/2) - 8 + z = -1

Let us multiply both sides of this equation by 2.

16 - 8z + 9z - 16 + 2z = -2

3z = -2

z = [tex]\frac{-2}{3}[/tex]

x = 4 - 2z

  = 4 + [tex]\frac{4}{3}[/tex]

  = [tex]\frac{16}{3}[/tex]

y = (9z-16)/2

  = ([tex]\frac{-18}{3}[/tex] - 16)/2

  = ( [tex]\frac{-66}{3}[/tex])/2

  = -22/2

  = -11

Therefore, x = [tex]\frac{16}{3}[/tex], y = -11, and z = [tex]\frac{-2}{3}[/tex].

Answer:

average speed = 8y/s

Step-by-step explanation:

Formula

s = d/t

d = 40 yards

t = 5 seconds

s = 40y/5s

= 8y/s

Answer:

y is equal to 50 degrees.

Step-by-step explanation:

The sum of the angles of a triangle is always 180 degrees.  To find what y is, subtract 80 from 180 and divide the difference by 2.  This will give you 50 degrees.

Answer:

y= 50°

Step-by-step explanation:

∠A =∠B = y. So, ΔABC is an isosceles triangle.

Sum of angles of triangle = 180

∠A + ∠B + ∠C = 180

y + y + 80 = 180   {add like terms}

2y + 80 = 180  {Subtract 80 from both sides}

2y + 80 - 80 = 180 - 80

2y = 100   {divide both sides by 2}

2y/2 = 100/2

y= 50°

Answer:

The graph if h(x) =2x-3 will have the same slope, but placed lower on the graph, because it's y intercept is -3, while the y-int of f(x) is 0, which is higher up on the y axis

Answer:

5

Step-by-step explanation:

Number of players injured in a game count the other side

Answer:

x = 4.95

Step-by-step explanation:

4x - 19.8 = 0

4x = 19.8

x = 4.95

Answer:

5,615 km.

Step-by-step explanation:

The first flight, she traveled for 3 hours at a speed of 625 km/h.

[tex]\frac{625}{1} =\frac{x}{3}[/tex]

x = 625 * 3

x = 1,875.

The first flight, she traveled 1,875 km.

The second flight, she traveled for 4.25 hours at a speed of 880 km/h.

[tex]\frac{880}{1} =\frac{x}{4.25}[/tex]

x = 880 * 4.25

x = 3,740.

The second flight, she traveled 3,740 km.

So, in total, she traveled 1875 + 3740 = 5,615 kilometres.

Hope this helps!

Answer:

f(2)= 0 and g(-2) = 0 is the answer

Step-by-step explanation:

if im seeing this correctly, this is the answer because the bottom end of g(x) is (-2,0) the real coordinates and the bottom end of f(x) the coordinates are (2,0). and the way im seeing this is g(x)=g(-2)=0 and the 0 would =y

f(x)=(2) and once again y=0

so the third option is the answer if im seeing this correctly.

f(2)=0 and g(-2)=0

Answer:

6[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

4x-12 = x+7

4x-12+12 = x+7+12

4x = x+19

4x-x = x+19-x

3x=19

x = 6[tex]\frac{1}{3}[/tex]

And if we substitute the value of x into the equation 4x-12 = x+7,

we will get 13[tex]\frac{1}{3}[/tex] = 13[tex]\frac{1}{3}[/tex] in the end.

Hope this helps :)

Answer: Taking a poll of how many calls someone took anonymously and randomly choose 100 people

Step-by-step explanation:

Answer:

licensed drivers who own cell phones

Step-by-step explanation:

licensed drivers who own cell phones

Answer:

a₇ = - 0.4

Step-by-step explanation:

The n th term of a geometric progression is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 6250 and r = [tex]\frac{1250}{-6250}[/tex] = - [tex]\frac{1}{5}[/tex] , thus

a₇ = - 6250 × [tex](-\frac{1}{5}) ^{6}[/tex]

    = - 6250 × [tex]\frac{1}{15625}[/tex] = - [tex]\frac{6250}{15625}[/tex] = - 0.4

Answer:

I hope it will help you :)

Answer:

26) translation: (x - 4, y + 3)

27) see down below

Step-by-step explanation:

26) Its a translation since the shape isn't reflected nor rotated. To find the translation, you can see that the shape would move 4 to the left (- 4), and up 3 ( + 3), which gives you (x - 4, y + 3) (x determines left/right and y determines up/down).

27)

<1 = 135

<2 = 45

<3 = 45

<4 = x = 20

<5 = 135

<6 = 45

<8 = 135

Answer:

C

Step-by-step explanation:

in order of containment it goes

Quadrilaterals

Parallelograms and trapezoids

kites rhombuses and rectangles

squares

Answer:

Hey there!

All parallelograms are four sided shapes, also called quadrilaterals.

Hope this helps :)

parallel line so gradient stays the same at 25x

y=25x+c

substitute in the point

-7= 25(2) +c

-7 = 50 + c

(-7)-50= -57

y=25x-57

hope this helps!

The equation of the line in slope intercept form is y = 25x + 177.

The equation of a line means an equation in x and y whose solution set is a line in the (x,y) plane. The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term.

For the given situation,

The equation is y = 25x−12 -------- (1)

The point is (−7,2)

The general form of equation of line in slope intercept form is

[tex]y=mx+c[/tex]

On comparing this equation with equation, we get

slope, m = 25

The given line is parallel to the equation of line, so slope is same.

The line passes through the point (x1, y1) is (−7,2).

Thus the equation of line in slope intercept form is

[tex]y-y1=m(x-x1)[/tex]

⇒ [tex]y-2=25(x-(-7))[/tex]

⇒ [tex]y-2=25(x+7)[/tex]

⇒ [tex]y-2=25x+175[/tex]

⇒ [tex]y=25x+175+2[/tex]

⇒ [tex]y=25x+177[/tex]

Hence we can conclude that the equation of the line in slope intercept form is y = 25x + 177.

Learn more about equation of line here

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Answer:

c

Step-by-step explanation:

Answer:

area: 27

Step-by-step explanation:

Sides: a = 10.296   b = 14.213   c = 6

The calculation of the triangle progress in two phases. The first phase is such that we try to calculate all three sides of the triangle from the input parameters. The first phase is different for the different triangles query entered. The second phase is the calculation of other characteristics of the triangle, such as angles, area, perimeter, heights, the center of gravity, circle radii, etc. Some input data also results in two to three correct triangle solutions (e.g., if the specified triangle area and two sides - typically resulting in both acute and obtuse) triangle).

Answer:

7

Step-by-step explanation:

The scale factor of the dilation shown in the diagram 2.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

The image and pre image are shown in figure.

Now, We know that;

The basic formula to find the scale factor of a dilated figure is,

⇒ Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

Substitute the given values, we get;

⇒ Scale factor = 6 / 3

⇒ Scale factor = 2

Thus, The scale factor of the dilation shown in the diagram 2.

Learn more about the divide visit:

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Answer:1/2

Step-by-step explanation:

got it right on edge

Answer:

11/50b

Step-by-step explanation:

22% of b = 22/100×b

= 11/50b

Answer:

2.6+7.4 or 2.4+7.6

Step-by-step explanation:

Both of the above equals to 10!

Answer:

We can call the numbers x and x + 1. Then we can write:

x + x + 1 = 113 which simplifies to 2x + 1 = 113.

Answer:

Hey there!

The correct answer would be x+x+1=113, or 2x+1=113.

Let the smaller number be x, then the larger number would be x+1

Thus, the sum of x and x+1 would be 2x+1.

We have that 2x+1=113.

Now, this is just a simple linear equation we have to solve.

Start by subtracting 1 to get 2x=112

Then, divide by 2 to get x=56

Since x=56, x+1 would be 57.

Thus, you would have the two numbers be 56 and 57, and use 2x+1 to solve.

Hope this helps :)

Answer:

150 degrees

Step-by-step explanation:

You can figure this out by looking at the degrees below d, and you see it is thirty, and that it is equal to the degree above the x, so then you subtract 30 from 180 to get 150. Hopefully that makes sence, I forgot what some of the terms are called.

Answer:

A.

Step-by-step explanation:

Since range is y-axis based, we are looking at the y-values. We see that the endpoints of the graphed segment are closed points, so they are included in the range. That eliminates B (exludes values) and C (Not infinity, it's a segment, not a line). Choice A is the best answer because when you identify the y-values, you get -8 to -3 included.

Answer:

C. Adding 18 to both sides isolates the variable term

Step-by-step explanation:

We can get rid of A and C because we can clearly see that we are adding, not subtracting.

The reason why C is correct is because we are isolating 6x, the term, and not x, the variable.

Answer:

Point M will be located between 0 and 1 at [tex]\frac{1}{13}[/tex].

Step-by-step explanation:

Two points A and B have been given on a number line.

Point A is at -3 and point B at 7.

Distance between these points AB = 7 - (-3)

                                                           = 7 + 3

                                                           = 10 units

Another point M divides the given segment AB in the ratio of 4 : 9.

Therefore, length of segment AM will be = [tex]\frac{4\times 10}{(4+9)}[/tex]

                                                                    = [tex]\frac{40}{13}[/tex]

                                                                    = [tex]3\frac{1}{13}[/tex] units

Now the position of point M will be at [tex](-3+3\frac{1}{13})[/tex] = [tex]\frac{1}{13}[/tex]

Therefore, point M will be located between 0 and 1 at [tex]\frac{1}{13}[/tex].

Answer:

6/12

Step-by-step explanation:

Got it right on test

Answer: 6 / 12

Step-by-step explanation: I took the test 2 hours ago xD

Answer:

×-10×+21=0

FACTORIZATION of splitting the middle term