# the angle of a triangle are given as 6x,(x-3), and (3x+7). find x then find the measures of the angles

x =17.6

The three angles are

6x =  105.6

x-3  =14.6

3x+7 = 59.8

Step-by-step explanation:

The three angles of a triangle add to 180 degrees

6x + x-3 + 3x+7 = 180

Combine like terms

10x +4 = 180

Subtract 4 from each side

10x+4-4= 180-4

10x = 176

Divide each side by 10

10x/10 =176/10

x =17.6

The three angles are

6x = 6*17.6= 105.6

x-3 = 17.6-3 =14.6

and 3x+7 = 3(17.6)+7 =52.8+7 = 59.8

## Related Questions

Gina, Sam, and Robby all chose movies they would like to see over the next year. They each chose some dramas, comedies, and documentaries. Gina chose 11 movies total. Sam chose twice as many dramas, three times as many comedies, and twice as many documentaries as Gina. He chose 27 movies total. Robby chose 19 movies total with the same number of dramas, twice as many comedies, and twice as many documentaries as Gina. Which system of equations represents their movie choices? x + y + z = 11

2x + 2y + 3z = 27

x + 2y + 2z = 19

x + y + z = 11

2x + 3y + 2z = 27

x + 2y + 2z = 19

x + y + z = 11

2x + 3y + 2z = 27

2x + 3y + 3z = 19

x + y + z = 11

3x + 2y + 2z = 27

x + 2y + 2z = 19

2x+3y+2z=27

x+2y+2z=19

Step-by-step explanation:

Let dramas be x, comedies be y and documentaries be z.

Gina chose 11 movies total which will be kept on one side of the is equal to sign. It is not specified how many dramas, comedies and documentaries she chose so we denote it by x, y and z respectively. The sum of x, y and z make up a total of 11 so we have the following equation:

x+y+z=11

Sam's choice of movies are compared to Gina's. He chose twice as many dramas as Gina and we represented dramas by x so we have 2 multiplied by x written as 2x. He chose 3 times as many comedies as Gina so we have 3 multiplied by x which is equal to 3x. Finally he chose twice as many documentaries as Gina and Gina chose z so we have 3 multiplied by z which is equal to 3z. He chose a total of 27 movies which will be equal to the sum of the individual movies we evaluated earlier. So we have the following equation.

2x+3y+2z=27

Robby's choice is also compared to Gina's. He chose the same number of dramas as Gina which was x. He chose twice as many comedies as Gina so 2 multiplied by y is equal to 2y. Finally he chose twice as many documentaries as Gina. 2 multiplied by z is 2z. He chose a total of 19 movies and the sum of the drama, comedy and documentary movies gives us the following equation.

x+2y+2z=19

B- x + y + z = 11

2x + 3y + 2z = 27

x + 2y + 2z = 19

Step-by-step explanation:

I took the quiz

Which equation represents a direct proportion a. y = x-2 b. y = x +2 c. y = 2÷x D. y = 2x

direct proportion is in the form

y=kx

Choice D

The key idea of the transformation called a reflection is the rotating of a plane about a fixed point. true or false

Hope this helps: )

Step-by-step explanation:

Factor the polynomial: -x^3-4x^2-5x

-x(x^2 + 4x + 5).

Step-by-step explanation:

-x^3-4x^2-5x

First take out -x:

= -x(x^2 + 4x + 5)

It can't be factored any further.

A bag contains 4 blue balls, 7 yellow balls and 4 white balls. Event A is defined as drawing a blue ball on the first draw and event B is defined as drawing a white ball on the second draw. If two balls are drawn from the bag, one after the other and not replaced,
what is P(B|A) expressed in simplest form?

The probability P(B|A) expressed in simplest form is .

What is probability?

The probability indicates the chance of happening of a particular event or incident.

The probability of drawing a blue ball on first draw is

The probability of drawing a white ball on second draw without replacing is

Therefore, the required probability

P(B|A)

= P(A∩B)/P(B)

P(A∩B)

Now,

P(B|A)

= P(A∩B)/P(B)

#SPJ2

Im srry that im late but: the answer is B) 1/5.

What is the wavelength for radio waves with frequency 3x10^9

The wavelength for radio waves with frequency of 3 × 10^(9) Hz is; λ = 0.1 m

We are given;

Frequency of radio waves; f = 3 × 10^(9) Hz

Now, formula for wavelength is;

λ = c/f

Where c is speed of light = 3 × 10^(8) m/s

Thus, Plugging in the relevant values into the wavelength equation gives;

λ = (3 × 10^(8))/(3 × 10^(9))

λ = 0.1 m

Thus, the wavelength for radio waves with frequency of 3 × 10^(9) Hz is 0.1 m.

0.1 meters

Step-by-step explanation:

For an electromagnetic wave, the relationship between wavelength λ, frequency ν, and the speed of light c is given by:

where

In our case of the radio waves

therefore the wavelength λ is:

Therefore the wavelength of the radio waves is 0.1 meters.

The function S(D) =(7/2) √2D can be used to approximate the speed S, in miles per hour, of a car that has left skid marks of length D, in feet. How fast would would a car have been traveling if it left a skid mark that is 102.04 feet long?

The required approximate speed of the car when the skid mark is 10204 feet long is 49.99 miles per hour.

Given that,
The function S(D) =(7/2) √2D can be used to approximate the speed S, in miles per hour, of a car that has left skid marks of length D, in feet, how fast would a car have been traveling if it left a skid mark that is 102.04 feet long is to be determined.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given the function of speed,
S(D) =(7/2) √(2D)
Substitute the value of D = 102.04
S(102.04) = (7/2)√(2*102.04)
S(102.04) = 49.99

Thus, the required approximate speed of the car when the skid mark is 10204 feet long is 49.99 miles per hour.

brainly.com/question/21145944

#SPJ2

Step-by-step explanation:

What is the equivalent fraction to 2/6

1/3
*Tip: Just divide each side by the same number (in this case, divide each side by 2)

Hope I helped!
You will get this answer when you simplify 2/6 the fraction itself by 2 since both numbers that are seen are divisible by 2. you will get 1/3 or if you want to find another eqivalent fraction you could say 3/9 or 4/12 or 5/15.

Judy and Tomie traveled 237 miles in 8 hours.if they continue traveling at the same rate, how long will it take them to travel 654 miles? ......... Please help me