Order these numbers from least to greatest

F, G, and H all lie on the same line. If FG/GH = 1, then FG = GH, which is to say the distance between F and G is equal to the distance between G and H. This means either F and H are the same point, or G is the midpoint of F and H.

They're not the same point, because the x-coordinate of H is 7 times that of F. So G must be halfway between F and H.

Then the x-coordinate of G is

(a + 7a)/2 = 8a/2 = 4a

Answer:

x = 15

Step-by-step explanation:

(4x - 30) and (2x) are alternate angles and are congruent , then

4x - 30 = 2x ( subtract 2x from both sides )

2x - 30 = 0 ( add 30 to both sides )

2x = 30 ( divide both sides by 2 )

x = 15

Answer:

(5, -4)

Step-by-step explanation:

Answer:

(5,-4)

Step-by-step explanation:

((0+10/2),(-2-6/2))

(10/2, -8/2)

(5,-4)

Angles theorem and Reflexive property of congurence

The solution is

Each diagonal of a parallelogram separates it into two congruent triangles

So , ΔABC ≅ ΔCDA

Opposite angles are congruent

So , ∠B ≅ ∠D

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be ABCD

Now , AC is a diagonal of the parallelogram

According to the postulates of parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

And ,

From the figure , we can deduct that ΔABC ≅ ΔCDA by

Angle A is congruent to angle C, and angle D is congruent to angle B

So , from congruent triangle theorem ΔABC ≅ ΔCDA

And ,

∠B ≅ ∠D

Because Opposite angles are congruent of a parallelogram

Hence , Each diagonal of a parallelogram separates it into two congruent triangles

So , ΔABC ≅ ΔCDA

Opposite angles are congruent

So , ∠B ≅ ∠D

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Answer:

gang gang shii

Step-by-step explanation:

gang gang.

Answer:

-71

Step-by-step explanation:

Answer:

-71

Step-by-step explanation:

[-18+(-22)]-43+12

=(-18+22)-43+12

=-40-43+12

=-83+12

=-71

Answer:

Step-by-step explanation:

I will interpret "-\frac{1}{5}−5​" as -(1/5).

We'll look for an equation by starting with the slope intercept format of:

y = mx + b,

where m is the slope and b is the y-intercept (the value of y when x=0).

We are given the slope of -(1/5), I think.  

The equation becomes y = -(1/5)x + b

We want to find a value of b that will force the line to go through point (-5,1).  Do this by putting this point into the equation we have thus far:

y = -(1/5)x + b

1 = -(1/5)*(-5) + b   [point (-5,1)]

1 = 1 + b

b = 0

The equation becomes y = -(1/5)x + 0, or y = -(1/5)x

See the attachment.

Answer:

The equation will be. c= 1200 / 240 + 6 = 440. C=440 (I don't know if this is correct)

Answer:

1/4

Step-by-step explanation:

This is because you want to get x alone, so if you divide -12 on one side you have to do it on the other side, so you get -3/-12 which can be divided by -3 to be simplified to 1/4. Hope this helps!

Answer:

Step-by-step explanation:

-12x = -3

x = 12 : -3

x = 1/4

--------------------

check

-12 * 1/4 = -3

-3 = -3

the answer is good

The cost of book has to be less than or equal to 26.39.

The amount of money Elena can buy has to be less than or equal to $30. Thus, the inequality sign to be used is the less than or equal to sign.

(1 + tax)cost of books + cost of bus fare ≤ value of the gift

1.08c + 1.5 ≤ 30

In order to determine the maximum cost of books, take the following steps:

Combine similar terms

1.08c  ≤ 30 - 1.5

Add similar terms together

1.08c  ≤ 28.50

Divide both sides of the equation by 1.08

c  ≤ 28.50 / 1.08

c  ≤ 26.39

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Answer:

My friend is farthest from my school

Step-by-step explanation:

Let the distance from the movie store to school be x and the distance from the grocery store to school be y

Using Cosine rule,

x²= 10²+7² - 2×10×7Cos120

x²= 149 -140(-0.5)

x²= 149+70

x²= 219

x= √219

= 14.8miles

y²= 10²+7² - 2×10×7Cos100

y²= 149 -140(-0.1736)

y²=149+24.2704

y²=173.2704

y=√173.2704

y=13.4miles

The standard equation of a line is y = mx+ b

where:

The y-intercept is the point where the line cuts the y-axis

For the equation y = -2x -4

For the equation y = -5/2x

Find the graphs attached.

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Answer:

B.(x − 5)(x − 3)(x + 2)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

-2 - 16 = -18

Step-by-step explanation:

-y+4c

You take the values for c and y and substitute them in the original equation.

It would then look like:

-(2) + 4(-4)

Solving that would be -2 -16 = -18

Answer:

-18

Step-by-step explanation:

-(2)+4(-4)    Plug in the values of y and c.

-2+(-16)       Simplify.

-2-16

-18

Hope this helps you out!! Have an amazing day <3

Answer:

Reflection over y-axis (-x,y)

Step-by-step explanation:

Reflection over y-axis (-x,y)

A (-2 , 4) , A'( 2,4)

you can check the rest.

Step-by-step explanation:

6)

[tex]k = \frac{6}{4} \\ k = \frac{3}{2} [/tex]

7)

[tex] \frac{ab}{mn} = \frac{bc}{no} = \frac{cd}{op} = \frac{da}{pm} [/tex]

8)

[tex]y = 8 ( \frac{3}{2} ) \\ y = 12[/tex]

[tex]z = 6 ( \frac{3}{2} ) \\ z = 9[/tex]

9)

[tex]5k = 8 \\ k = \frac{8}{5} \\ x( \frac{8}{5}) = 32 \\ x = 20ft[/tex]

Answer:

270 or 34.5

Step-by-step explanation:

1. (6.9)= 54

54x5= 270

2. 6.9x5= 24.5

Hopes This Helps :)

Answer:

2/9.

Step-by-step explanation:

There are 2 multiples of 4 in the 9 cards, 4 itself and 8.

So the required Probability is 2/9.

Answer:

The value of [tex]gof (-2)=79[/tex]

Step-by-step explanation:

We have

[tex]f(x) = x^2 -5x +1 \\\\f(-2) = (-2)^2 -5\times-2 +1 \\\\=15[/tex]

Now we need to find

[tex]gof (-2)=g(15)[/tex]

[tex]g(15) =5\times15+4\\\\=79[/tex]

Answer:

D.

Step-by-step explanation:

Answer:

3(2q+1)

Step-by-step explanation:

6q+2

3(2q+1)

Answer a+ 4 - a-7 a-7 _5 = 37_6

Step-by-step explanation:

Answer:

a=-7

Step-by-step explanation:

Find least common multiplier

LCM=105

Multiply to function

a+4/3 *105- a/7= 105* a+7/5

Simplify

35(a+4)-15x=21(a+7)

Expand

20a+140=21a+147

Subtract 140 from both sides

20a=21a+7

Subtract 21a from both sides

-a=7

Divide both sides by -1

-a/-1=7/-1

a=-7

Answer:

3x+4, x=2

3(2)+4

6+4=10

Hello there! :-)

To find the value of 3x+4 when x=2, all we have to do is substitute the value of 2 into the expression:

3x+4

3(2)+4

6+4

10

Therefore, the answer is 10.

Hope this helps. Use the comment section to clarify your doubts.

Answered by

~A felicitous teen who helps others with a smile on her face

Good luck with your studies. :)

Answer:

discriminant= 100, nature of the root= real numbers.

Step-by-step explanation:

discriminant formula: b^2-4ac

-2^2-4(6)(-4)

4+96=100.

Answer:

12000000000

Step-by-step explanation:

did I add too many zeros????

10 to the 5 is multiply by 10 five times (100,000)

100,000 x 3 = 300,000

For the second thing, 10 to the 4 = 10,000

10,000 x 4 = 40,000

300,000 x 40,000 = 12000000000

Answer:

C) 5 seconds

Step-by-step explanation:

[tex]h = - 16t {}^{2} + 64t + 80[/tex]

When the ball hits the ground, the height is 0.

[tex]0 = - 16t {}^{2} + 64t + 80[/tex]

Factor out the greatest common factor: 16

[tex]0 = - 16(t {}^{2} - 4t - 5)[/tex]

Find numbers whose sum is -5 and product is - 4.

Those numbers are - 5 and 1: - 5 × 1 = - 5, - 5 + 1 = - 4

[tex]0 = - 16(t - 5)(t + 1)[/tex]

[tex]t - 5 = 0[/tex]

Or

[tex]t + 1 = 0[/tex]

So,

[tex]t = 5[/tex]

Or

[tex]t = - 1[/tex]

Since time cannot be a negative value the correct answer is 5 seconds.

Answer:

where is the equation??

pls attach that

Answer:

  101

Step-by-step explanation:

To get the largest weighted sum, you want to give the largest weight to the largest possible digit.

  Max( ) = 7·9 +3·8 +2·7 = 63 +24 +14 = 101 . . . . (x, y, z) = (7, 8, 9)

The maximum sum is 101.

Answer:

n = 11

Step-by-step explanation:

n+5=2n-6

you add 6 on both sides and you get

n+11=2n

you then subtract n on both sides and get

11=n

Step-by-step explanation:

n+5 = 2n - 6 -> Original equation

5 = n - 6 -> Take n away from both sides

11 = n -> Add 6 to both sides

n = 11 -> Final answer

*Remember, we are trying to get n by using inverse operations.