Find the value of x in the triangle below:

Find The Value Of X In The Triangle Below:

Answers

Answer 1

The value of x in the given triangle is x = 12  .

Angle Sum Property of the Triangle states that the sum of measure of all three sides of the triangle is 180° .

In the question ,

a triangular figure is given

in which , the measure of angle A is (6x - 19)°

the measure of angle B is [tex]=[/tex] 84°

the measure of angle C is [tex]=[/tex] (3x + 7)°

So , By Angle sum property ,

we get

∠A + ∠B + ∠C [tex]=[/tex] 180°

substituting the values of angle A, B and C ,

we get

(6x - 19)° [tex]+[/tex] 84° + (3x + 7)° [tex]=[/tex] 180°

6x - 19 [tex]+[/tex] 84 [tex]+[/tex] 3x + 7 [tex]=[/tex] 180

9x + 72 = 180

9x = 180 - 72

9x = 108

x = 108/9

x = 12

Therefore , the value of x is [tex]=[/tex] 12

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Related Questions

A student solves the problem 354 divided by 24. The student finds an answer of 13 R40. Explain how you can tell that the answer is incorrect just by looking at the remainder.

Answers

Answer:

Step-by-step explanation:

When dividing, you always have to make sure that your remainder
(40) is ALWAYS less than your divisor (24)

24<40, so the students' answer is incorrect.

Which of the expressions below would help you to calculate the percent
increase from Value 1 to Value 2?

Answers

Answer:

D. (Value 2 - Value 1) ÷ Value 1

Step-by-step explanation:

Percent increase is the percent of the increased value over the initial value.

In our case the increase is represented by the difference of values and the initial value is Value 1.

So the matching choice is D.

=====================================

Answer choices in the comment:

A. Value 2 ÷ Value 1B. Value 1 ÷ Value 2C. (Value 2 - Value 1) ÷ Value 2D. (Value 2 - Value 1) ÷ Value 1

Find the product. (a2)(2a3)(a2 â€"" 8a 9) 2a7 â€"" 16a6 18a5 2a7 â€"" 16a6 â€"" 18a5 2a8 â€"" 16a7 18a6 2a12 â€"" 16a7 18a6

Answers

Put that shi in English and I gotchu

The price of a movie ticket at the theater is $7 for students.

The price is higher for adults.

A group of 4 students and 3 adults paid $64 in all for movie tickets.

How much does each adult ticket cost?

Each adult tickets costs

Answers

The cost of each adult ticket for watching movie at the theatre equals to $12.

How do we derive the cost of each adult ticket?

Given data:

Student ticket price = $7

Group of 4 students and 3 adults paid $64 in all for movie tickets.

The computation of each of the adult ticket cost is as follows:

Let x be the cost of each adult ticket.

Then, cost of 3 adult tickets = 3x.

Now:

The cost of 1 student ticket = $7

The cost of 4 student ticket = $7(4)

Then, we get the following equation:

7(4) + 3x = 64

18 + 3x = 64

3x = 64 - 18

3x = 36

x = 12

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how many degrees in a right angle​

Answers

Answer:

90 degrees is the amount of degrees in a right angle

When parallel lines are cut by a transversal, then

Answers

Answer:

If two parallel lines are cut by a transversal, then the corresponding angles are congruent.

calculate a 95% confidence interval for the effect of a one unit increase in exercise on resting heart rate for a non-smoker

Answers

A level of confidence of 95% was used in the case above. A table at the back of a statistics textbook can be used to get the value of z* for a certain confidence level. For a 95% confidence level, the value of z* is 1.96.

 An error margin of 3.92 is discovered when the value of z*, the demographic standard error, and the sample size are entered into the equation.

Statistical Estimation's Justification

Where does the confidence interval calculation formula come from?

The population mean's true value is never known; it can only ever be estimated or approximated. The easiest way of doing this is to choose many identical-sized random samples from the population.

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A police officer is parked in a supermarket parking lot located at the junction of two streets. He wants to be equidistant from both streets. Should he be on a perpendicular bisector, a median, an angle bisector, or an altitude?
ALSO… Draw a picture to show solution to this problem and label all parts of your picture and the name of the segment the police officer should use.

Answers

A police officer wants to be equidistant from both streets. He should be on a perpendicular bisector.

Given that, a police officer is parked in a supermarket parking lot located at the junction of two streets. He wants to be equidistant from both streets.

What is a perpendicular bisector?

A perpendicular bisector is a line that bisects a line segment in two equal parts and makes an angle of 90° at the point of intersection. In other words, we can say that a perpendicular bisector divides a line segment at its midpoint making an angle of 90°.

Perpendicular bisector: A line that bisects a line segment in two equal parts.

Median: The middle number; found by ordering all data points and picking out the one in the middle.

Angle bisector: The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.

An altitude: Height, altitude, elevation mean vertical distance either between the top and bottom of something or between a base and something above it.

Therefore, a police officer wants to be equidistant from both streets. He should be on a perpendicular bisector.

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What’s 1,598 fewer then 25,876

Answers

Answer:

24,278

Step-by-step explanation:

24278
This should answer your questions

A bag contains 150 marbles. Some are blue the rest is white. There are 21 blue marvles for every 4 white marbles. How many blue marbles are there.

Answers

There are 126 blue marbles.

Total marbles in the bag=150

There are 21 blue marbles for every 4 white marbles then the sequence will be⇒ 4+21+4+21+4+21+4+21+4+21+4+21=150

21 blue marbles appear 6 times for every 4 blue marbles

So 21×6=126 blue marbles and 4×6=24, then 126+24=150 total marbles

∴There will be a total of 126 blue marbles along with 24 white marbles among the 150 marbles.

Select the correct answer.
What is the domain of function f?

Answers

Answer:

D

Step-by-step explanation:

The domain of this function is all real numbers because you can see that there are no endpoints on the graph. The function is going off of the graph, which means it is continuing aka never-ending.

(-∞,∞) aka all real numbers

Find the slope of the line that passes through (10, 6) and (3, 11).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

-5/7

Step-by-step explanation:

know what to put here don't know how to explain!

What is the slope and equation of a line that is perpendicular to the y-axis and passes through the point (3,12)


A. The slope is undefined and the equation of the line is y=12.


B. The slope is zero and the equation of the line is x=3.


C. The dlope is zero and the equation of the line is y=12.


D. The slope is undefined and the equation of the line is x=3.

Answers

Slope equals the change in the vertical (Y value) divided by the change in the horizontal (X value), the slope of a horizontal line is zero and equation of line is Y =12. So option C is correct.

What is equation of line?

A straight line's general equation is y = mx + c, where m is the gradient and y = c is the value at which the line intersects the y-axis. This value c is known as the y-axis intercept.

Here,

Since the Y-axis is vertical, a line perpendicular to it would be horizontal..  The slope of a horizontal line is zero, because slope is the change in the vertical (Y value) divided by the change in the horizontal (X value), and the vertical coordinate does not change from the -3 of the point given.

If we start with the slope-intercept form of an equation of a line

Y = mX + b,

we can write Y = 0X + (12)

Y =12

Slope is the vertical change (Y value) divided by the horizontal change (X value); the slope of a horizontal line is zero, and the equation of the line is Y =12.

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A,B and C form a triangle where ∠BAC=90∘.AB=7 mm and BC=13.8 mm. Find the length of AC, giving your answer rounded to 1 decimal place.

Answers

The length of AC which is the hypothenuse is equal 15.5mm

Pythagoras Theorem

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle.

In this question, triangle ABC forms a right-angle triangle at angle B and this makes it possible to use Pythagoras theorem.

AB = leg = 7mmBC = leg = 13.8mmAC = hypothenuse = ?

Using the formula;

AC² = AB²  + BC²

AC²  = 7²  + 13.8²

AC = 15.5mm

The length of the hypothenuse is 15..5mm

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50 POINTS

You are looking at starting a summer business mowing lawns to get started. You already need to purchase some items investing in your business. You already have a lawnmower, but below are the items you still need to purchase.

what is the total amount you plan to invest in your lawn mowing business? [__]

1. You just determined how much you are willing to invest to get your summer job started. Write an inequality to represent when you start making a profit if you charge $15 to mow one lawn.

2. at the end of the summer, you have mowed a total of 16 lawns right in equation that represents your total earnings. How much did you earn? [Show your work]

with investment costs taken into account, did you:
a. lose money
b. make money

Answers

Regarding the situation described, it is found that:

The total amount invested is of $25.

1. You start making a profit when 15x - 25 > 0.

2. You earned $215 with this work.

With the investment, you made money (option b).

What is the total amount investment?

The investment was as follows:

Pack of 50 lawn bags for $10.Eye protecting glasses for $15.

Hence the total amount invested was of:

10 + 15 = $25.

What is the profit inequality?

The profit is given by revenue subtracted by costs.

In the context of this problem, the revenue and the cost functions are given as follows:

Revenue: R(x) = 15x (as you charge $15 to mow one lawn).Cost: C(x) = 25. (investment).

Hence the profit function is:

P(x) = R(x) - C(x)

P(x) = 15x - 25.

You start making a profit when:

P(x) > 0.

15x - 25 > 0.

The amount you earned mowing 16 lawns is of:

P(16) = 15(16) - 25 = $215.

(positive profit, hence you made money).

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The total weekly profit p, in dollars, from producing and selling x units of a certain product is given by the
function p(x) = 225x-(165x+c), where c is a constant. If 75 units were produced and sold last week for a profit
of $3,365, what is the value of c?
-1,135

Answers

Step-by-step explanation:

The total weekly profit p, in dollars, from producing and selling x units of a certain product is given by the function p(x) = 225x-(165x+c), where c is a constant. If 75 units were produced and sold last week for a profit of $3,365, what is the value of c?

$3,365 = 225(75) - (165(75) + c)

$3,365 = 16,875 - 165(75) - c

$3,365 = 16,875 - 12,375 - c

$3,365 = 4,500 - c

=1,135 =  - c

c = 1,135

Angie bikes for 20 minutes burning 150 calories. How many calories will he burn if he bikes for 25 minutes

Answers

Answer:

I think it's 187.5

Step-by-step explanation:

I divided 150 by 20 and got 7.5.

i multiplied 7.5 by 25 and got 187.5

Hop this is correct and helps you.

Samuel has a collection of toy cars. His favorites are the 27 red ones, which make up 60%, percent of his collection.
How many toy cars does Samuel have?

Answers

Answer:

45

Step-by-step explanation:

The 27 red cars make up 60% of the total collection, here is the equation

to be solved:

         27 = 60% of C                         C is the total cars in the collection

         27 = .60 C

         27 / .60 = C

         45 = C

Hope this helps! :)

a rectangle has length 3 cm greater than it’s width. If it has an area of 28cm 2, find the dimensions of the rectangle

Answers

The length of the rectangle is 7 centimeter and the width of the rectangle is 4 centimeter

A rectangle has length 3 cm greater than it’s width

Consider the width of the rectangle = x

The length of the the rectangle = x + 3

The area of the rectangle = 28 square centimeter

The area of the rectangle = The length of the the rectangle × The width of the rectangle

Substitute the values in the equation

x(x+3) = 28

Apply the distributive property

[tex]x^2[/tex]  + 3x = 28

[tex]x^2[/tex] + 3x -28 = 0

Split the middle term and solve the equation

[tex]x^2[/tex] -4x + 7x -28 = 0

Take common term outside

x(x-4) + 7(x-4) =0

Take common term outside

(x+7) (x-4) = 0

x = -7, 4

The length cannot be negative value

x = 4 centimeter

Then the length of the rectangle = x + 3

= 4 +3

= 7 centimeter

Hence, the length of the rectangle is 7 centimeter and the width of the rectangle is 4 centimeter

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please help me.

5x + (-y) +8 -6x +9y (Evaluate X=4 and Y=-2)​

Answers

Answer:

answer: -35

Step-by-step explanation:

if it's not sorry

Answer:

-12

Step-by-step explanation:

5x+(-y)+8-6x+9y

where x=4 and y=-25(4) +(-(2))+8 -6(4) + 9(-2)20+2+8-24-1830-42-12

help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

(2,-2)
-2 axis
Downwards

SOLVE FOR X answer .

Answers

Answer:

31

Step-by-step explanation:

x+10+2x+20+2x-5=180

5x+25=180

5x=155

x=31

Find the ratio of men to women in a bowling league containing 12 men and 8 women. Write in lowest terms

Answers

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Divide the top and bottom on the fraction by 4

Answer- 3/2: divide the top and bottom on the fraction by 4

He makes a total of $500 for every 3 clients he
acquires.
How much money will 21 clients bring in?

Answers

3 thousand 500 dollars

Step-by-step explanation:3x7=21

Refer to the figure below. M

Answers

The measure of the angle ∠C is 17°.

The angle having a measure equal to 32° and the angle ∠B form a linear pair. They are supplementary angles. When two lines cross, they generate a pair of neighbouring angles called a linear pair. A linear pair's two angles are always supplementary, which means their measurements add up to 180 degrees. The sum must be equal to 180°.

32° + ∠B = 180°

∠B = 180° - 32° = 148°

Now, we will use the angle sum property of a triangle. The sum of all the angles in a triangle is equal to 180°.

∠B + ∠C + 15° = 180°

148° + ∠C + 15° = 180°

∠C + 163° = 180°

∠C = 180° - 163° = 17°

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which answer is an example of volunteer sampling? responses asking every fifth person their age asking every fifth person their age counting everyone who attends a game counting everyone who attends a game submitting an online survey submitting an online survey asking your neighbors if they approve of the mayor

Answers

Submitting an online survey is one example of volunteer sampling.

What exactly does volunteer sampling imply?

When researchers look for volunteers to participate in studies, they use voluntary sampling. Volunteers can be recruited in person, online, through public postings, and through a variety of other means. When using voluntary sampling, a researcher usually makes little effort to control the sample composition.

The customer satisfaction survey is a common form of voluntary sampling. When a company provides a service or a product, it frequently asks customers to rate their satisfaction. The sample is voluntary and biased because the company asks all customers to volunteer their opinions.

Researchers in academia frequently seek volunteer samples by asking students to participate in research or by looking for people in the community.  Volunteer samples are used for a variety of different types of research because they are inexpensive.

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What id an equation of a line in point-slope form that passes theough (1,-7) and has a slope of -2/3?

Answers

(y + 7) = -2/3(x - 1) is the point-slope form of the equation of a line passing through (1, -7) and having a slope of -2/3.

How to calculate a line's equation in point-slope form

The query revealed information include

a slope of -2/3

point (1, -7)

Describe a linear function.

Those functions with exponents of 1 are known as linear functions.

The form represents the equation of a line in point-slope form.

(y - y₁) = m (x - x₁)

Variables in the y direction are described by  (y and y₁).

variables in the x direction are described by (x and x₁).

m = slope

substituting into the slope and point (1, -7) equation gives

()y + 7) = -2/3 (x - 1)

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5x+13≥−37. find for x

Answers

Answer:

x ≥ -10

Step-by-step explanation:

Given equation,

→ 5x + 13 ≥ -37

Now the value of x will be,

→ 5x + 13 ≥ -37

→ 5x ≥ -37 - 13

→ x ≥ -50/5

→ [ x ≥ -10 ]

Hence, the value of x is -10.

math problem - help i need the answer for this, im very desperate for an answer.

Answers

Answer:

(x+10,y+8)

Step-by-step explanation:

If you look at the point (0,2) and it image (10,10)  To go from 0 to 10 you must move 10 spaces to the right.  That would be x + 10.

If you look at the same two points.  You would have to move up 8 spaces to go from 2 to 10.  That would be y + 8.

The same thing is true with the second two points given.

please I need help asap​

Answers

x=-2 , y= -4

x=-1 , y= -3.5

x=0 , y= -3

x=1 , y= -2.5

x=2 , y= 4

just plug in the x value into the equation where you see x and you’ll get your answer. for example:

the first one where x is -2:

y= 0.5(-2) - 3
y= -4

and the same goes for every one of them
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Metalloids exhibit properties of both metals and nonmetals, make fair conductors, and can appear as shiny or dull.C) Metals are usually very shiny, high in density, and poor conductors. Nonmetals are great conductors, dull, and very dense. Metalloids are the heaviest of all elements, solid, and melt at low temperatures.D)Metals are usually dull, low in density, and melt at low temperatures. Nonmetals are usually very shiny, high in density, and good conductors of electricity. Metalloids are generally very shiny, solid, and melt at very high temperatures. conditioned taste aversion is a form of: a. classical conditioning. b. higher order learning. c. operant conditioning. d. observational learning. help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 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