For the triangles to be congruent by SSS, what must be the value of x? 1 3 6 8

Answer:

Option 2: [tex]y - 2 = \frac{1}{3}(x-3)[/tex] is the correct answer.

Step-by-step explanation:

The equation of a line with given point(x1,y1) and slope m is given by:

[tex]y-y_1 = m(x-x_1)[/tex]

The line passes through (x1,y1)

Given

[tex](x_1,y_1) = (3,2)\\m = \frac{1}{3}[/tex]

=> x1 = 3

=> y1 = 2

Putting the values of x1, y1 and slope(m) in the point-slope form, the equation of line is:

[tex]y - 2 = \frac{1}{3}(x-3)[/tex]

Hence,

Option 2: [tex]y - 2 = \frac{1}{3}(x-3)[/tex] is the correct answer.

Answer:

a)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I know for sure.

12+84=96

12*1=12

12*7=84

Answer:

-28

Step-by-step explanation:

-7 x 4 = -28 because 7 x 4 =28 then add negative so -28

Hope this helped ;) Have a good day :D

Answer:

87   39/1000

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

im not sure if its correct but area is the area around the trapezoid and i added them

Answer:b

Step-by-step explanation:exponential function which means the value is is CONSTANTLY raised to the power

The graph the formula representing the compound interest will be exponential function.

In mathematics, and more specifically in graph theory, a graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related".

Given is the equation representing compound interest.

The equation representing the compound interest is -

C = P( 1 + r/n )ⁿˣ

Where -

[P] is principle amount.

[r] is rate.

[x] is time.

The exponential function is eˣ, where [x] is a variable. Similarly, we can graph the formula representing the compound interest as shown in the figure attached. The graph will be exponential in nature.

Therefore, the graph the formula representing the compound interest will be exponential function.

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Answer:

About 2.08 Uranus years is equal to 175 Earth years

Step-by-step explanation:

1     = ?

84     175

175/84 = 2.08

Number of Uranus years are equal to 175 Earth years is 2.08 years.

Given that, The length of 1 year on Uranus is a little more than 84 years on Earth.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let the number of years be x

1 : 84 :: x : 175

⇒ 1/84 = x/175

⇒ 84x=175

⇒ x=175/84

⇒ x=2.08 years

Therefore, number of Uranus years are equal to 175 Earth years is 2.08 years.

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Answer:

which answer best describes this picture

Answer: 7.0

Step-by-step explanation:

sergio must ride 7.5 miles in 1/4 hour to achieve this target speed so  he needs to ride  an addititonal 9.8 mile per1/4 hour

Answer:

30 mph

Step-by-step explanation:

since it is 1/4  you would multply 7.5 times 4, which adds up to 30.

Answer:

ya if you do 3 a day

Step-by-step explanation:

Answer:

yes it is enough time you would have to do 25 assignments aweek

Step-by-step explanation:

Answer:

[tex]\frac{1}{15}[/tex]

Step-by-step explanation:

as said in the question that the triangle has three equal sides. i.e. this is an equilateral triangle. So,

let us consider one side of the triangle to be x . and 3x( x+x+x) should be equal to 1/5

[tex]x+x+x = \frac{1}{5}\\3x=\frac{1}{5}\\x = \frac{1}{5} / 3\\x = \frac{1}{5} * \frac{1}{3}\\x = \frac{1}{15}[/tex]

Answer:

1.  direct=hot, indirect=cool

2. wind systems

3. differences in air pressure

first diagram: density increases, pressure increases, tempature decreases

second diagram: temp. increases, density decreases, pressure decreases

Step-by-step explanation:

hope this helps

Answer:

the answer is 1,674

Step-by-step explanation:

because if 3hours in 558 miles you multiply the 3hours in 558miles and the answer is 1,674

Answer:

367,752 would be the answer

Answer:

367 750

Step-by-step explanation:

u start and end up with the last number after the another

Answer:

rate of current=1 mph

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

12 bran muffins in 1 Cup so for 2/3 it is

2/3*12 = 8

Answer:

Here we go in photo form

Answer: 3,635 Views.

Step-by-step explanation:

b+c=10 becomes b=10-c. c+a=12 becomes c=12-a ... an a: c+a =12 & a+b=8. Subtracting the latter from the former eliminates the “a”s, leaving c-b=4. ... What are the values of A, B, C, D, A+B=8, B-D=5, A*C=21, and C*D=9?

Answer:

25 is 6

Step-by-step explanation:

sqrt of 4 is just 2 and then plus 4 gives you 6

Answer:

1 and 2 are the elements of (A B)

Answer:

mid point=(-1/2,-5)

Step-by-step explanation:

Answer:

Answer is Option 2

Step-by-step explanation:

Triangles equal to 180 degrees in total. So it is 55+54+x+74=180

The simplified version that I just wrote is Option 2

Answer:13,0

Step-by-step explanation:

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points. The coordinates of point (8,−2) after translation will be (13,2) and (13,4).

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

The coordinates of a point (x,y) can be translated by right 5 units and up 2 units as,

Now, the given coordinate (8, -2) can be translated as shown below,

Hence, the coordinates of point (8,−2) after translation will be (13,2) and (13,4).

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Answer:

Juke's jump; by 0.35 feet

Step-by-step explanation:

Given that,

Cooper's jump rope is for [tex]4\dfrac{2}{5}[/tex] feet.

Juke's jump rope is [tex]4\dfrac{3}{4}[/tex] feet.

Cooper's jump is :

[tex]4\dfrac{2}{5}=\dfrac{22}{5}\ \text{feet}\\\\=4.4\ \text{feet}[/tex]

Juke's jump is

[tex]4\dfrac{3}{4}=\dfrac{19}{4}\\\\=4.75\ \text{feet}[/tex]

So, it is clear that Juke's jump is longer than Cooper's jump.

Juke's jump - Cooper's jump = 4.75 - 4.4

= 0.35 feet

or

So, Juke's jump is 375 feet longer.

Answer:

could you put a picture of the work so i can anwser  this question

Step-by-step explanation:

Answer:

the answer will be 12 bc all you do is divided 6.6 =11

Step-by-step explanation:

The scientific notation for the given width will be [tex]3*10^{6}[/tex].

A method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy.

Given that, The Kuiper Belt is estimated to be about 3,000,000

meters wide.

3,000,000 = 3x1000,000

=  [tex]3*10^{6}[/tex].

Hence, The scientific notation for the given width will be [tex]3*10^{6}[/tex].

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Answer:

1. 3. 6.

Step-by-step explanation:

Answer:

There is exactly one output for each input.

The graph of a linear function is a straight line.

A linear function has a constant rate of change.

Step-by-step explanation:

Answer:

Yeah im sure you wont get 3 heads for all coins it would usually be like 1 tails, 2 tails or 3 tails :/?

Step-by-step explanation:

Answer:

See explanation below

Step-by-step explanation:

Recall the identity for the cosine of an addition of angles:

[tex]cos(\theta+\gamma)= cos(\theta)*cos(\gamma)- sin(\theta)*sin(\gamma)[/tex]

and that for a subtraction of angles:

[tex]cos(\theta-\gamma)= cos(\theta)*cos(\gamma)+sin(\theta)*sin(\gamma)[/tex]

Now, use the property of addition of angles above to write :

[tex]cos(\frac{A+B}{2} +\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]

but since :  [tex]\frac{A+B}{2} +\frac{A-B}{2}= A[/tex]

Then the cosine of addition of angles above can be written as:

[tex]cos(\frac{A+B}{2} +\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\cos(A)=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]

We do something similar now with the cosine of the subtraction of angles:

[tex]cos(\frac{A+B}{2} -\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]

and we notice that: [tex]\frac{A+B}{2} -\frac{A-B}{2}= B[/tex]

Then the cosine of subtraction of angles above can be written as:

[tex]cos(\frac{A+B}{2} -\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\cos(B )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]

and finally, we add term by term the expressions we got for cos (A) and for cos(B) and notice that the terms that contain the sine functions cancel each other because they have opposite signs, while the terms in cosine add up to double themselves:

[tex]cos(A )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\+\\cos(B )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\=\\cos(A) +cos(B)=2\,cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )[/tex]

which is what we wanted to prove.