Two exterior angles of a triangle measure 135° and 100°. What are the measures of the interior angles of the triangle?
A.
45°, 65°, 80°
B.
45°, 65°, 70°
C.
45°, 55°, 80°
D.
55°, 75°, 50°
E.
80°, 50°, 50°

Answer:

there is no line

The solutions to the systems of equations are:

1. (2, 3) (see attachment below). [one solution]

2. no solution

3. (3, 13) [one solution]

The solution to a system of equations is the x-value and y-value that will make both equations true. It can be found either using a graph, by elimination method, or substitution method as explained below.

1. Using graph to solve y = 2x - 1 and y = 4x - 5:

The solution is the point where both lines intersect which is: (2, 3) (see attachment below). [one solution]

2. Solving using substitution method:

x = -5y + 4 ---> eqn. 1

3x + 15y = -1 ---> eqn. 2

Substitute x = -5y + 4 into eqn. 2

3(-5y + 4) + 15y = -1

-15y + 12 + 15y = -1

-15y + 15y = -1 - 12

0 = -13 (this shows that there is no solution)

3. Using elimination method:

14x = 2y + 16 ---> eqn. 1

5x = y + 2 ---> eqn. 2

1(14x = 2y + 16)

2(5x = y + 2)

14x = 2y + 16 ----> eqn. 3

10x = 2y + 4 -----> eqn. 4

Subtract

4x = 12

x = 12/4

x = 3

Substitute x = 3 into eqn. 2

5(3) = y + 2

15 = y + 2

15 - 2 = y

13 = y

y = 13

The solution is: (3, 13).

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Answer:

that's easy all you have to do is find out what is the value of x then divided by 2 once you divide by 2 subtract 3x 18 and 0

Answer: 1.) 3 2/3  2.) 2 9/10  3.) 9 11/15   4.) 7 11/12

B. Question 2,

My answer is reasonable, because if we round 1 7/10 to 2 and 1 1/5 to 1

2+1=3 and my answer is 2 9/10. This estimate makes sense because 2 9/10 can be rouned to 3, meaning it is reasonable.

Step-by-step explanation:

1 1/6 + 2 3/6= 3 4/6

Simplifyed=3 2/3

1 7/10 + 1 2/10 = 2 9/10

7 5/15 + 2 6/15= 9 11/15

4 8/12 + 3 3/12= 7 11/12

The linear equation that models the cost for having x additional family members added is:

c(x) = $75 + $10.99*x

Here we know that the plan has a fixed price of $75 plus $10.99 for each family member added beyond the primary account holder.

Then if there are x family members added, the cost will be:

$75 + $10.99*x

Then the linear equation that models the cost for having x additional family members added is:

c(x) = $75 + $10.99*x

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The answer would be A. 1 1/5.

We have given that,

The following box-and-whisker plots represent two random samples of basketball players. The first sample represents the heights of male players in the NBA.

A simple random sample is a subset of individuals chosen from a larger set in which a subset of individuals is chosen randomly, all with the same probability. Is a process of selecting a sample in a random way.

The second sample represents the heights of female players in the WNBA

Using the data from these random samples, compare the heights of male and female basketball players.

Write your answer in sentences complete

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Therefore, The answer would be A. 1 1/5.

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Answer:

The median height for the players in the NBA is 6 inches taller than the median of the WNBA. The overlap in the data shows that the tallest players in the WNBA are around the same height as the shortest players in the NBA.

Answer:

The answer is option C

Step-by-step explanation:

The solution is in the image

Answer:

Step-by-step explanation:

8x - 4y = 16

3x + 4y = 17

11x = 33

x = 3

12 - 2y = 8

-2y = -4

y = 2

(3, 2)

answer is C

Answer:

Remy runs 13.75 Miles Per Week

Step-by-step explanation:

X=18.35 - 4.5

Answer:

[tex]x = 2\\ \\x= -\dfrac 78[/tex]

Step-by-step explanation:

[tex]~~~~~~~8x^2 -9x -14=0\\\\\implies 8x^2+7x-16x-14=0\\\\\implies x(8x+7)-2(8x+7)=0\\\\\implies (x-2)(8x+7) = 0\\\\\implies x = 2,~ x= -\dfrac 78[/tex]

The number would you add to both sides of x² + 7x = 4 to complete the square option C 7²/2.

Suppose the considered quadratic equation is of the form

ax^2 + bx + c = 0

Then, completing the squares method tries to make a squared term in terms of x in the left side, so that x comes in linear form, instead of quadratic.

The given quadratic equation is

x² + 7x = 4

add  7²/2 to both sides of x² + 7x = 4 to complete the square

7²/2 = 49/4

x² + 7x + 49/4 = 4+ 49/4

(x + 7/2)² = 4+ 49/4

Thus, option C 7²/2 is correct.

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Domain of f(x) is {x | x ≠ 6} and Domain of g(x) is {x | x ≠ +7 and x ≠ +7}.

The domain of a function is the set of all input values that make the function possible.

Now, for f(x) = (x + 6)/(x² - 12x + 36)

To find the domain, we equate the denominator to zero to find the numbers that can't be a domain. Thus;

x² - 12x + 36 = 0

Solving this using quadratic formula gives; x = 6. Thus, domain of f(x) is;

Domain = {x | x ≠ 6}

Now, for g(x) = (x + 7)/(x² - 49)

To find the domain, we equate the denominator to zero to find the numbers that can't be a domain. Thus;

x² - 49 = 0

Solving this using quadratic formula gives; x = +7 or -7. Thus, domain of g(x) is; Domain = {x | x ≠ +7 and x ≠ +7}

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A total of 720 tickets were sold for the school play. They were either adult tickets or student tickets is mathematically given as

Generally, the equation for a sold tickets is mathematically given as

S=x+72

Therefore

x+x+72=772

2x+72=772

2x=772-72

x=350

In conclusion, tickets sold was

x=350

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The time taken to cover a distance of 814 miles for Caynon's home will be 22 hours.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

Given that:-

The time will be calculated as:-

First, we will calculate the speed to cover the distance of Brother's house:-

Speed = Distance / Time

Speed = 481 / 13 = 37 miles per hour.

Now the time to cover a distance of 814 miles will be calculated as:-

Time = Distance / Speed

Time = 814 / 37

Time = 22 hours

Therefore the time taken to cover a distance of 814 miles for Caynon's home will be 22 hours.

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Answer:c

Step-by-step explanation:heheh

Answer: C

Step-by-step explanation:

Answer:

  0.98 seconds

Step-by-step explanation:

We assume the height of the volleyball is described by the equation for ballistic motion. We want to find the time it takes for the height to become zero.

__

The general form of the equation of height for ballistic motion is ...

  [tex]h(t)=-16t^2+v_0t+h_0\qquad\text{$v_0$ and $h_0$ are the initial velocity and height}[/tex]

The coefficient 16 in the equation is an approximation of 1/2g, where g is the acceleration due to gravity in ft/s². This means the units of time and distance are expected to be seconds and feet.

For the problem at hand, the initial velocity and height are 10.5 ft/s and 5 ft. Then the height equation is ...

  h(t) = -16t² +10.5t +5

__

Marsha has until the ball hits the ground to react to the serve. To find out how long that is, we need to solve the height equation for t when h=0. This is most easily done using the quadratic formula with ...

The solution is ...

  [tex]t=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}= \dfrac{-10.5\pm\sqrt{10.5^2-4(-16)(5)}}{2(-16)}\\\\=\dfrac{10.5\pm\sqrt{430.25}}{32}=\dfrac{21\pm\sqrt{1721}}{64}[/tex]

The positive solution is ...

  t ≈ 0.976327 ≈ 0.98

Marsha has about 0.98 seconds to react before the volleyball hits the ground.

_____

Additional comment

After about 0.33 seconds, Marsha knows she doesn't need to react at all. The serve will not clear the net. Its maximum height is about 6' 8 5/8". A women's volleyball net is 7' 4 1/8" high. Jennifer's serve velocity must be at least 12.3 ft/s for the ball to go over the net. With that upward velocity, Marsha has about 1.06 seconds to react.

Answer:

B

About 16% of the books have fewer than 150 pages.

Step-by-step explanation:

Quizlet also said so

Answer:

u should subract those not add

Evaluando una ecuación exponencial, veremos que luego de 5 años el capital se convierte en $12,884.08

Esta situación se podra modelar con la ecuación exponencial:

f(n) = $8,000*(1 + 10%/100%)ⁿ

Donde n es el número de años.

Podemos simplificar la ecuación para obtener:

f(n) = $8,000*(1.1)ⁿ

Ahora queremos ver el valor que toma esto cuando n = 5, asi obtenemos:

f(n) = $8,000*(1.1)⁵ = $12,884.08

Así que luego de 5 años, el capital se convierte en $12,884.08.

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The metaphor and its purpose from the excerpt from "On Beholding the Mountain" is "The heart's flame illustrates the intensity of the writer's emotion".

A metaphor is a figure of speech which is used to compare two things without using "like" or "as", by making the object of the metaphor take on the characteristic of the other thing.

It is also the use of a word or phrase to refer to something that it is not, invoking a direct similarity between the word or phrase used and the thing described but without the words like or as, which would imply a simile.

Therefore, the correct answer is option D; The heart's flame illustrates the intensity of the writer's emotion.

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Answer:

Normally,in calculating the amount of space an object occupies...the volume method is require due to 3 dimensional rule,vice versa an area

Answer:

m = 50h, where m is the distance traveled in miles

Answer:

see the attachment photo!

Answer: The correct answer is 135 in².

Step-by-step explanation: An area of a polygon is this:

Area = (number of sides × length of one side × apothem)/2

(5 x 6 x 9) / 2 = 135

Answer:

x = 7

Step-by-step explanation:

8*7 - 6 = 50

Answer:

7

Step-by-step explanation:

The format for a coordinate pair is (x-coordinate, y-coordinate). This means the y-coordinate comes second, and since the 7 comes second here we can say that 7 is the y-coordinate.

That is the answer

- Kan Academy Advance

Answer:

See below

Step-by-step explanation:

h^2 - 5h = 84

h^2 - 5h - 84 = 0

Answer:

B

Step-by-step explanation:

Hope this will help on the problem

Hello, the answer should be [tex]m=\frac{6}{5}= 1,2[/tex].

First, let's edit the given function as [tex]y[/tex] parameter leave alone.

[tex]15x+18y=270\\\\18y=270-15x\\\\y=\frac{270-15x}{18}\\ \\y=\frac{270}{18}-\frac{15x}{18}[/tex]

If the given equation looks like;

[tex]y=f(x)\\\\y=ax+b[/tex]

then, the slope of the equation is the coefficient of [tex]x[/tex] parameter ([tex]a[/tex])

The slope(m);

[tex]m=\frac{-15}{18}=\frac{-5}{6}[/tex]

The product of the slopes of two perpendicular lines must be [tex]-1[/tex]. By that way, the slope of a line perpendicular to the given line is below:

[tex]m_{expected}=\frac{-1}{m_{given}} \\\\m_{expected}=\frac{-1}{\frac{-5}{6} }=\frac{6}{5}[/tex]

Good luck. If you have any questions, then feel free to ask in comments!

An equation is formed of two equal expressions. The correct option is A.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Ms. Banerjee bought a car for $22,500. The amount she paid for her new car was twice the amount she paid for her previous car, which she bought 8 years ago. Therefore, the equation shows p, the price in dollars that she paid for her previous car,

Price of new car = 2 (Price of the previous car)

22,500 = 2p

Hence, the correct option is A.

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Answer: a

Step-by-step explanation:

Answer:

y=4

y=x+4

y=-2+4

Step-by-step explanation:

the trick is to consider x as 0.