The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five
times the measure of the first angle, The third angle is 14 more than the second, Let x, y, and z represent the measures of
the first, second, and third angles, respectively. Find the measures of the three angles.

she could have scored the 10 points in 302400 ways.

The given parameters are

n= total points =10

r1 =one-point free throw = 1

r2 = two-point field goals = 2

r3 =  three-point field goals = 3

The number of ways (k) she could have scored the points is:

k=(n!)/(r1!×r2!×r3!)

The factorial function is a mathematical formula represented by an exclamation mark "!".

k= 10!/(1!×2!×3!)

k= 3628800/(1×2×6)

k= 302400

so.. she could have scored the 10 points in 302400 ways.

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well, he has left only 6 oz.

now, if we take the 16(origin amount) to be the 100%, what is 6 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 16 & 100\\ 6& x \end{array} \implies \cfrac{16}{6}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 8 }{ 3 } ~~=~~ \cfrac{ 100 }{ x }\implies 8x=300\implies x=\cfrac{300}{8}\implies x=\cfrac{75}{2}\implies x=37.5\)

Answer:

7.5

Step-by-step explanation:

Since the segments are parallel, the side segment lengths are proportional.

8/10 = 6/x

4/5 = 6/x

4x = 30

x = 7.5

Answer:

I believe that it is false

The number who needs to be separated into a ratio = 72

Total number of parts = 3 + 4 + 5

= 12 parts

Each part = 72 ÷ 12

= 6

Then 3 parts = 3 × 6 = 18

4 parts = 4 × 6 = 24

5 parts = 5 × 6 = 30

Then , the ratio will be , 18 : 24 : 30

Therefore , 72 in the ratio 3:4:5 will be = 18 : 24 : 30 .

Step-by-step explanation:

The student incorrectly performed a rotation of 90° clockwise.

Answer:

C, the student incorrectly preformed a rotation of 90 degrees clockwise.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Any value of x would make the equation true.

Answer:

To solve for y in the equation:

3y - 1/3 = 5

First, we need to isolate the term containing y by adding 1/3 to both sides of the equation:

3y - 1/3 + 1/3 = 5 + 1/3

Simplifying the left-hand side:

3y = 5 + 1/3

Next, we need to isolate y by dividing both sides of the equation by 3:

3y/3 = (5 + 1/3)/3

Simplifying the right-hand side by finding a common denominator:

3y/3 = (15/3 + 1/3)/3

3y/3 = 16/3

Simplifying the left-hand side:

y = 16/9

Therefore, the solution to the equation 3y - 1/3 = 5 is y = 16/9.

Step-by-step explanation:

Answer:

-x-9

Step-by-step explanation:

-1(x+9)

(-1)(x) + (-1)(9)

(-x) + (-9)

-x-9

Answer:

-9x

Step-by-step explanation:

(x+9)=(9x) and then

9x x -1

-9x is the answer

Answer: In the picture, it should be the 1st one

Step-by-step explanation: If i am incorrect, im so very sorry.

Answer:

1/2 of the bag would be red and orange.

Step-by-step explanation:

if 3/10 of the bag was red

and 2/10 was orange, then all you have to do is the add the number of jelly beans that are red and orange,

3/10 + 2/10 is 5/10

simplify and that will get you to 1/2

Answer:

Step-by-step explanation:

if 3/10 of the bag was red

and 2/10 was orange, then all you have to do is the add the number of jelly beans that are red and orange,

3/10 + 2/10 is 5/10

simplify and that will get you to 1/2

Answer:

8e+6

Step-by-step explanation:

Answer:

8e-6

Step-by-step explanation:

1mm = 1e-6 km

1e-6 x 8= 8e-6

i would love brainliest if you could help me out ❤️

Answer:

D. 1/(3^8)

Step-by-step explanation:

^^^This is the answer

Answer:

Step-by-step explanation:

There are an infinite amount of possibilities with the solution of (4,1).  As proof, plot the point (4,1) on a coordinate system.  Then, draw straight lines that pass through that point.  These lines can differ in slopes. They can be either be positive, negative, vertical, or horizontal.

x = 4

y = 1

x + y = 5

name me brainleist and say thank you, and rate 5 stars.

1 times 2 is equal to 2.

Multiplication is a mathematical operation that combines two numbers (known as "factors") to produce a third number (known as the "product"). It is represented using the symbol "x" or the asterisk (*).

For example, consider the multiplication of the numbers 2 and 3:

2 x 3 = 6

Here, 2 and 3 are the factors, and 6 is the product. Multiplication is a type of arithmetic operation that can be used to find the total number of items in a set, the area of a rectangle, the volume of a rectangular prism, and many other quantities.

In summary, multiplication is a mathematical operation that combines two numbers to produce a third number, and it is represented using the symbol "x" or the asterisk (*). It is an important operation in mathematics, used to find the total number of items in a set, the area of a rectangle, the volume of a rectangular prism, and many other quantities.

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The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

From the question, we have the following parameters that can be used in our computation:

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

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Answer:

2x+1

Step-by-step explanation:

x = 1st integer

x+1 = next consecutive integer

The sum is

x+ (x+1)

Combine like terms

2x+1

let the first integer be x and the second be x + 2

then the sum is x +x+2 = 2x +2

Answer:

2.- 8.0 in.

Step-by-step explanation:

8.1 in

Step-by-step explanation:

A^2+B^2=C^2

49+16= 65

square root of 65≈8.06

round up to 8.1

Answer:

Base area=5*12=60

Height is 4

Perimeter or the base is 2*(12+5)=34

Surface area is 2B+Ph=120+136=256

Answer:

9(4-n)

Step-by-step explanation:

Hope this helps

Tell me if I'm wrong

The final answer is (f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.

(f o g)(x):

To find (f o g)(x), we substitute g(x) into f(x):

(f o g)(x) = f(g(x))

Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:

(f o g)(x) = f(g(x)) = f(x^2 - 8)

Now we replace x in f(x^2 - 8) with x^2 - 8:

(f o g)(x) = (x^2 - 8)^2 + 8

Simplifying further:

(f o g)(x) = x^4 - 16x^2 + 64 + 8

(f o g)(x) = x^4 - 16x^2 + 72

Therefore, (f o g)(x) = x^4 - 16x^2 + 72.

(g o f)(x):

To find (g o f)(x), we substitute f(x) into g(x):

(g o f)(x) = g(f(x))

Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:

(g o f)(x) = g(f(x)) = g(x^2 + 8)

Now we replace x in g(x^2 + 8) with x^2 + 8:

(g o f)(x) = (x^2 + 8)^2 - 8

Simplifying further:

(g o f)(x) = x^4 + 16x^2 + 64 - 8

(g o f)(x) = x^4 + 16x^2 + 56

Therefore, (g o f)(x) = x^4 + 16x^2 + 56.

(f o g)(2):

To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:

(f o g)(2) = 2^4 - 16(2)^2 + 72

(f o g)(2) = 16 - 64 + 72

(f o g)(2) = 24

Therefore, (f o g)(2) = 24.

In summary:

(f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

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107 over 103 times 101 over 100 would result in 10807/10300.

In order to multiply the fractions 107/103 and 101/100, we can simply multiply their numerators together and their denominators together:

(107/103) x (101/100) = (107 x 101) / (103 x 100)

Now we can simplify this fraction by finding the greatest common factor of the numerator and denominator and dividing both by it:

(107 x 101) / (103 x 100) = 10807 / 10300

Therefore, 107/103 times 101/100 simplifies to 10807/10300.

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       The equation representing the relationship between Electricity and  Gas used, and your Bill is:

      T  =  0.25 * k + 0.97 * t

        Make a plan:

We need to find the equation that represents the relationship between the total monthly bill (T), The Kilowatt Hours of Electricity used (k), and the Terms of Gas used (t).

T  =  0.25  *  k  +  0.97  *  t

1 - Write the Equation for the cost of Electricity:

        0.25 * k

2 - Write the Equation for the Cost of Gas:

       0.97 * t

3 - Combine the Equations to Represent the total Monthly Bill (T):

       T  =  0.25 * k + 0.97 * t

Hence,  The equation representing the relationship between Electricity and  Gas used, and your Bill is:

       T  =  0.25 * k + 0.97 * t

I hope that helps!

Answer:

Both of those are continuous

Step-by-step explanation:

A discrete function is only defined for a specified countable set of x, neither of the two provided fit that description. On the other hand, both are defined for arbitrary positive real numbers.

The value of both functions is defined for a continuous interval of x thus both will be continuous.

A certain kind of relationship called a function binds inputs to essentially one output.

The nature of the relationship defines the function for example y = sinx and y = x +6 like that.

Given the first function →

y = 30.48x where x is feet and y is a centimeter of conversion.

Now, it is known that for every foot interval there will be a centimeter that exists therefore they will be defined for all continuous intervals of x so it will be continuous.

The second function →

y = 3x + 2 where x is minutes and y is the number of gallons in a tank.

Now since for every minute of the interval, there will be a certain amount of gallons in the tank so it will be also continuous.

Hence "The value of both functions is defined for a continuous interval of x thus both will be continuous".

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Let:

x = biking speed

y = running speed

To solve this question, follow the steps below.

Step 01: Write an equation that relates the running and biking speed.

Given: His biking speed is 6 mph faster than his running speed

Then,

x = y + 6

Step 02: Write an equation to the total hours trained.

Given: speed = distance/time

Then, time = distance/speed

4 hours = (distance/speed)biking + ((distance/speed)running

Then,

4 = 15/x + 10/y

Step 03: Substitute x by (y + 6) in the equation from step 02.

Step 04: Solve the equation above.

Use the quadratic formula to solve the equation. For a equation ax² + bx+ c = 0, the roots are:

Then, substituting the values from this question:

Since y must be positive, y = 4 mph.

Step 06: Find x.

x = y + 6

Since y = running speed:

Answer: the running speed was 4 mph.

Answer:

[6, 8).

Step-by-step explanation:

When we are looking for the range of a function by just looking at the graph, we have to define from what point to what point the graph move vertically. On the other hand, if we were looking for the domain, we would state from where to where the graph moves horizontally.

In this case we have to analyze the graph vertically, since we are looking for the range of the function. Therefore, if we take a look at the line we can notice that it goes from y=6 to y=8. Therefore the range should be from 6 to 8.

Now, this result must be expressed in interval notation, meaning that we have to state whether the values of each end are contained or not by the function. The graph already tells us about it., because it marks it with the closed or open dots. In the case of the number 6, we have a closed dot, means that the function contains the number 6. For the other end we have an open dot, means that the function doesn't contain the number 8.

Applying internal notation, the range of this function is:

[6, 8).

Learn more about interval notation here:

1. https://web.nmsu.edu/~kberver/Unit1/Unit18.html#:~:text=An%20interval%20is%20closed%20if,used%20for%20an%20open%20endpoint.

2. https://brilliant.org/wiki/interval-notation/#:~:text=Interval%20notation%20is%20a%20way,inequality%20or%20system%20of%20inequalities.

Answer:

it's for sure option (B) cuz it's represented in the form of a straight line which means it's linear!

hope helpful~

Answer:

B

Step-by-step explanation:

I thinks its the best answer

i.  The position vector of X is 2b - a.

ii.  The position vector of Y is (3b + c)/4.

iii.  The ratio XY : Y Z is \(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\). Simplifying this expression will give us the final ratio.

i. To find the position vector x of point X, we can use the concept of vector addition. Since AB : BX = 2 : 1, we can express AB as a vector from A to B, which is given by (b - a). To find BX, we can use the fact that BX is twice as long as AB, so BX = 2 * (b - a). Adding this to the vector AB will give us the position vector of X: x = a + 2 * (b - a) = 2b - a.

ii. Similar to the previous part, we can express BC as a vector from B to C, which is given by (c - b). Since BY : YC = 1 : 3, we can find BY by dividing the vector BC into four equal parts and taking one part, so BY = (1/4) * (c - b). Adding this to the vector BY will give us the position vector of Y: y = b + (1/4) * (c - b) = (3b + c)/4.

iii. Z is the midpoint of AC, so we can find Z by taking the average of the vectors a and c: z = (a + c)/2. The ratio XY : YZ can be calculated by finding the lengths of the vectors XY and YZ and taking their ratio. Since XY = |x - y| and YZ = |y - z|, we have XY : YZ = |x - y|/|y - z|. Plugging in the values of x, y, and z we found earlier, we get XY : YZ =\(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\).

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