Arrange the sentences of the paragraph proof in the most logical order.
Given: GH has a length of 16 cm.
Prove: If point 7 is the midpoint of GĦ, then GT = 8 cm.
1. If point 7 is the midpoint of GH, then GT= TH by the definition of midpoint.
2. Assume that I is the midpoint of GH and that GT+8 cm. Let GT= 5 cm.
3. GH= GT+TH by the segment addition postulate. Therefore, GH= 5 cm + 5 cm = 10 cm. GH= 10 cm and GH = 16 cm,
which is a contradiction.
4. If GT= 8 cm, then a contradiction occurs. Therefore, the original statement is true by proof by contradiction.
A 1, 2, 3, 4
B. 2, 1, 3,4
C. 2, 4, 1,3
D. 4, 3, 1, 2

Answer:

no real solutions

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Answer:

The triangles are similar as the ratio of their corresponding sides are equal

Step-by-step explanation:

When two triangles are similar, the ratio of their corresponding sides are equal

As we can see, 85 is between 10 and 18

The ratio of the numbers will be ;

10/18 and 25/45

To the simplest terms;

5/9 and 5/9

Since the ratio is equal, then the triangles are similar

Answer:

=3x−3

Step-by-step explanation:

=(3)(x+−1)

=(3)(x)+(3)(−1)

Answer:

3x - 3

Step-by-step explanation:

distribution

Answer:

B aka 12

plz give me brainliest

Answer:

the single decimal multiplier is 0.7826

Step-by-step explanation:

The computation of the single decimal multiplier is given below:

Given that

It is reduced by 14% that followed by 9% decrease

So according to this, the following calculation is required

= (1 - 0.14) × (1 - 0.09)

= 0.86 × 0.91

= 0.7826

Hence, the single decimal multiplier is 0.7826

Answer:

The value of n = 4 and  

The value of x = [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Method I:

As given, 12x -20=n (3x-5)      .........(1)

Firstly , take 12x - 20

As 12x - 20 can be written as 4(3x - 5)

∴ equation (1) becomes

4(3x - 5) = n (3x-5)

Divide the equation by (3x-5) , we get

4 = n

Method II:

As given, 12x -20=n (3x-5)

⇒12x - 20 = 3nx - 5n

⇒12x - 3nx = 20 - 5n

⇒3x(4 - n) = 5( 4 - n)

Divide the equation by (4-n) , we get

3x = 5

⇒ x = [tex]\frac{5}{3}[/tex]

∴ we get

n = 4 and  x = [tex]\frac{5}{3}[/tex]

Now, check that value of n and x satisfies the equation or not

12([tex]\frac{5}{3}[/tex]) - 20 = 4( 3([tex]\frac{5}{3}[/tex]) - 5)

⇒4(5) - 20 = 4(5 - 5)

⇒20 - 20 = 4(0)

⇒ 0 = 0

Hence , we get

The values of x and n satisfies the equation

so, we get

n = 4 and  x = [tex]\frac{5}{3}[/tex]

Answer:

distance= 16×32

d= 512

got it?

Answer:

Infintely many solutions

Step-by-step explanation:

I'm going to assume that the capital y is equal to the lowerase y

if you subtract y and two from both sides in the second equation you get

-y=2x-2

you then divide by -1 to get it into a normal form

y= -2x+2

this is the same as the first equation, these lines are the same

Answer:

12

Step-by-step explanation:

2d+24+3d=84

2d+3d=60

5d=60

d=12

Answer:

d=12

Step-by-step explanation:

2*12=24

3+12=36

24+24+36=84

The coordinates of the midpoint of CD is [tex](2, -1)[/tex].

"The midpoint of a segment can be considered to be the average of its endpoints."

Given end points of CD

C (-2, -4) and D (6, 2)

The coordinates of the midpoint of CD = ?

Formula to find the midpoint of CD

Midpoint of CD = [tex](\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2} )[/tex]

C = ([tex]x_{1}[/tex], [tex]x_{2}[/tex]) = (-2, -4) and D = ([tex]y_{1}[/tex], [tex]y_{2}[/tex]) = (6, 2)

Midpoint of CD = [tex](\frac{-2+6}{2}, \frac{-4+2}{2} )[/tex]

= [tex](\frac{-4}{2} , \frac{-2}{2} )[/tex]

= [tex](2, -1)[/tex]

Midpoint of CD =  [tex](2, -1)[/tex]

Hence, The coordinates of the midpoint of CD is [tex](2, -1)[/tex].

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Answer:

.50

Step-by-step explanation:

Answer:

mp=cp+40%of cp=140cp/100=1.4cp

discount=20%

cp=6000

mp=1.4cp=1.4×6000=8400

sp=mp-d%of mp=8400-20/100×8400=8400-1680=6720

sp with vat=sp+vat %of sp=6720+13/100×6720=6720+873.6=7593.6

Answer:

A

Step-by-step explanation:

Answer:

45.56923076923077

Step-by-step explanation:

Work out 51.6 x 12 which is 619.2 and subtract that from 1804.80 then x your answer which is 1,184.8 and divide by 26 to get your answer which is 45.569....

9514 1404 393

Answer:

  x = 7 (multiplicity 2)

Step-by-step explanation:

When the function is written in factored form, the zeros are the values of the variable that make the factors zero.

  y = (x -7)(x -7)

The values x = 7 and x = 7 will make the factors zero. The zero is said to be x=7 with multiplicity 2.

__

On the graph, the zeros are the x-intercepts (where y=0). The graph only touches the x-axis, but does not cross. With some experience, you can recognize that this is a zero with even multiplicity (2).

Answer:

2.36 ounces

Step-by-step explanation:

11.8 ounces / 5 people = 11.8/5 = 2.36 ounces each.

Answer:

2.36 oz

Step-by-step explanation:

To answer this, we need to divide 11.8 oz by 5.

11.8/5 = 2.36

So each person gets 2.36 ounces of cheese

Answer:

the cords are 4 -2

Step-by-step explanation:

Answer:

First pic (4, -2) second pic (-3, 2)

Answer:

a f e

Step-by-step explanation:

Answer:

3in by 1in by 8in

Step-by-step explanation:

Volume of the box = Length × Width × Height

Given

Volume = 24in³

If the width is 2inhes less than the length

W = L-2... 2

Also if the height is 5 inches greater than the length, then;

H = L+5 ... 3

Substitite 2 and 3 into the formula.

V= LBH

24 = L(L+5)(L-2)

24 = L(L²+3L-10)

24 = L³+3L²-10L

L³+3L²-10L-24 =0

Factorize

The factored form is

(L+2)(L²+L−12) = 0

L²+L-12 = 0

L²+4L-3L-12 = 0

L(L+4)-3(L+4) = 0

(L+4) = 0 and L-3 = 0

L = 3in

W = L-2

W = 3-2

L = 1in

H = L+5

H=3+5

H = 8in

Hence the dimension is 3in by 1in by 8in

Answer:

true

Step-by-step explanation:

Answer:

2 3/20

Step-by-step explanation:

Answer:

80inches

Step-by-step explanation:

17+17=34

23+23=46

34+46=80

The value of Sin 2x if, Sin x = 2 / 5  and tan(x) > 0, is 4 √21 / 25 so, option B is correct.

Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine, cosine, and tangents are their names and acronyms (tan).

Given:

Sinx = 2 / 5  and  tan(x) > 0,

Calculate the value of tan x as shown below,

B² = 5² - 2²  (Using Pythagoras theorem)

B² = 25 - 4

B = √21

Hence, Tan x = 2 / √21

Calculate the value of Sin 2x as shown below,

Sin2x = 2 Tan x / (1 + tan² x)

Sin2x = 2 × 2 / √21 / (1 + (2 / √21)²)

Sin2x = 4 / √21 / (1 + 4 / 21)

Sin2x = 4 / √ 21 / (25 / 21)

Sin2x = 4 √21 / 25

Thus, the value of Sin2x  is 4 √21 / 25.

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Answer:

B

Step-by-step explanation:

just took it

your Answers are:

1. 0

2. 128

Answer:

the 3rd one

Step-by-step explanation:

no problemo

Answer:

(5, 1)

Step-by-step explanation:

Substitute:

[tex]3x - 7*1 = 8\\3x - 7 = 8\\3x = 15\\x = 5[/tex]

so the solution is (5, 1)