The triangle DEF is shown in the diagram.
Find the exact value of x.

The Triangle DEF Is Shown In The Diagram.Find The Exact Value Of X.

Answers

Answer 1

Answer:

x = 4

Step-by-step explanation:

Using cosine triangle formula, we know that;

c² = a² + b² - 2ac(cos C)

From our diagram;

a = 2x

b = x + 1

c = 7

C = 60°

Thus;

7² = (2x)² + (x + 1)² - 2(2x)(x + 1)cos 60

49 = 4x² + (x² + 2x + 1) - (4x² + 4x)(0.5)

49 = 5x² + 2x + 1 - 2x² - 2x

3x² + 1 - 49 = 0

3x² - 48 = 0

3x² = 48

x² = 48/3

x² = 16

x = √16

x = 4


Related Questions
















A bag has yellow, red, green, blue, black, and white marbles. There are 5 of each color in the bag. What fraction of the marbles, in simplest form, are not black or white?

Answers

Answer:

2/3

Step-by-step explanation:

Have a great day

Mark football team has scored about 23 points each game. They played 12 games this season. What is the best estimate for the total number of points they scored in the season?

Answers

Answer:

estimate:280

Step-by-step explanation:

23x12=276

What is 45% of 156?
Thanks.

Answers

Answer:

45% of 156 = 70.2

The answer is 70.2 hope this helps

If an interior angle of a regular polygon measures 108°, how many sides does the polygon have?

Answers

Answer:

5

Step-by-step explanation:

(n-2)180 = 108

          n

Distribute

180n-360=108n

-360=-72n

5=n

n=5

Answer:

5 sides

Step-by-step explanation:

Use the formula for the measure of an interior angle of a polygon

[tex]\frac{(n - 2)180}{n}[/tex]

Solve for n (the number of sides):

108 = [tex]\frac{(n - 2)180}{n}[/tex]

108n = (n - 2)180

108n = 180n - 360

-72n = -360

n = 5

So, the polygon has 5 sides.

Plz help in 1 min plz plz

Answers

in the second column first question in the table the answer is 12, below that is 30, below that is 42, in the first column fourth box down the answer is 11, i used the equation of distance = speed x time to work out the number of bracelets and the equation time = distance/ speed to work out the time, i apologise if any of this is wrong but overall i hope that it helps

what are the slope and y-intercrpt of the line described by the equation y=-2x+5?​

Answers

The slope of y=-2x+5 is -2 the intercept is 5

I cant figure out if its + or ×​

Answers

Answer:

it b the one u clicked cus u have to add the number together to get the result

Step-by-step explanation:

Solve for :x
8x- 3 = 5 (2x + 1)
A. x= -4
B. x= -2
C. x= 1
D. x= 9
Plz help

Answers

Answer:

-4

Step-by-step explanation:

8x-3=5(2x+1)

8x-3=10x+5

-2x-3=5

-2x=8

x=-4

Answer:

A

[tex]x = - 4[/tex]

Step-by-step explanation:

do the Parentheses first so----

do Parentheses first which would then be 8x-3=10x+5

then put "10x in the middle of 8x and -3

so

[tex]8x - 10x - 3 = 5[/tex]

then 8x-10x which would equal -2x

then you would be left with

[tex] - 2x = 5 + 3[/tex]

add the 5+3 ------>> -2x=8

(divide both sides)

[tex]x = - 4[/tex]

Situe no mesmo sistema de eixos cartesianos os pontos A(1, 3), B(-2, 1), C(0, -4), D(-3, 0), E(-2, -3), F(2, -1), G(3, -4) e H(5/2, ½).

Answers

Answer:

A,D,F,E

Step-by-step explanation:

SOMEONE PLEASE PLEASE HELP!!!

Answers

11 is the answer hope this helps :)
Trying to fill space

3887860 tonnes of paper was collected last year. round it to the nearest million

Answers

Answer:

4000000

Step-by-step explanation:

thats to the nearest million

Using conversion, the 3887860 tones of paper is converted into 400000 millions.

What is conversion?

Conversion is "the process of changing the value one of form to another".

According to the question,

3887860 tones of paper was collected last year. In order to convert to the nearest million.

1 ton = 9,071847 million

3887860 tones = 9,071847 × 3887860

                          = 3.52700711 [tex]e^(13)[/tex]  ≈ 400000

Hence, using conversion, the 3887860 tones of paper is converted into 400000 millions.

Learn more about conversion here

https://brainly.com/question/2600105

#SPJ2

Need ASAP. Only answer if ur confident in ur answer

Answers

Answer:

360 m²

Step-by-step explanation:

surface area of a square base pyramid = base area + 4 ( triangular sides area)

where:

base = 12 m

side height length = 9 m

Surface area = 12² + 2(12)9

                     = 144 + 216

                     = 360 m²

A certain paint is to be mixed with 3 parts yellow to 2 parts blue. What is the ratio of yellow paint to the total amount of mixed paint?

a. 3 to 2

b. 3 to 1

c. 3 to 5

d. 2 to 3​

Answers

3 to 2 I hope you have a great day lol

5+19x2
What is the correct answer

Answers

Answer:

43

Step-by-step explanation:

PEMDAS 19 times 2 is 38 plus 5 equals 43

PLEASEEEEEEEEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPP


Which answer choice describes y=-3x^(2) +7x - 2 Question 9 options: opens up with a maximum opens down with a maximum opens up with a minimum opens down with a minimum

Answers

opens down with a maximumTHANK YOU !!!! AND HAVE A NICE DAY !!!

Question 2 (1 point)
Jon drinks 10 sodas a week. Which graph correctly represents the unit rate for this
proportional relationship?

Answers

Graph A because the graph starts out at 10 on week one and goes up by ten each week

get brainliest please help

Answers

Answer:

2

Step-by-step explanation:

9514 1404 393

Answer:

  -3/2

Step-by-step explanation:

The line crosses grid intersections at (-1, 2), (1, -1) and (3, -4). These points are separated by 2 units horizontally and 3 units vertically.

The rise (vertical change) is -3 for each run (horizontal change) of +2, so the ratio rise/run is -3/2. That is the slope of the line: -3/2.

What dose 750 divided by 30 equals what

Answers

Answer:

25

Step-by-step explanation:

30 goes into 750 25 times.

You can check your answer by multiplying 30 by 25 which equals 750. Therefore your answer is correct.

The 750 divided by 30 equals 25. This means that if we distribute 750 objects into 30 groups equally, each group would contain 25 objects.

When we divide 750 by 30, we can calculate the result as follows:

750 ÷ 30 = 25

Therefore, 750 divided by 30 equals 25. This means that if we distribute 750 objects into 30 groups equally, each group would contain 25 objects. Division is the arithmetic operation that allows us to determine how many times one number (the divisor) can be subtracted from another number (the dividend) without resulting in a negative value.

In this case, when we divide 750 by 30, we find that the quotient is 25. This represents the number of groups or units we can obtain when dividing 750 into 30 equal parts. Division is a fundamental mathematical operation used in various real-life scenarios, such as distributing resources, calculating averages, and solving ratio problems.

To know more about divided:

https://brainly.com/question/15381501?


#SPJ6

Sam had 35 red and yellow marbles. If 60 percent of the marbles are yellow how many RED marbles does sam have?

Answers

Answer:14 red marbles

Step-by-step explanation:

60% of the marbles are yellow  and there is a total of 35 marbles.

60% of 35 is 21, so there are 21 yellow marbles.

35-21= 14,

leaving you with 14 red marbles.

I will mark you brainliest

Answers

Answer:

it is b and c

Step-by-step explanation:

HELP MY HOMEWORK IS DUE IN 20 MINUTES

Answers

Answer:

c

Step-by-step explanation:

Answer:

Graph C.

Step-by-step explanation:

a function is determined by every input having a specific outpit. since each input of x has a specific answer for Y, graph C is a function.

Pleaseeee helppp meeee

Answers

Answer:

4 green jellybeans

Step-by-step explanation:

Use the distributive property to simplify the expression 5(4x + 8)

Answers

Answer:

20x+40

Step-by-step explanation:

Hey there! first, we multiply 5 x 4x = 20x. then we multiply 5 x 8 = 40

now we add them but in the 20x there is x so we can't add them but we can write them as 20x + 40

Answer:

[tex]\huge\boxed{\sf{20x+40}}[/tex]

Step-by-step explanation:

Hello.

The Distributive Property states that

a(b+c)=ab+ac [tex]\mapsto[/tex] we multiply a times b and c

Now, simplify the given expression:

5(4x+8)

20x+40

I hope it helps.

Have a great day.

[tex]\boxed{imperturbability}[/tex]

Which of the following figures is a polygon?
OA
3
OD

Answers

Answer:

b

hope this helps:)

Step-by-step explanation:

B because the top is perpendicular from each other

Declan says that for any number n, the product 4xn is greater than 4. Which vaule of n shows why Declan is incorrect

Answers

Answer:

n>1

Step-by-step explanation:

Given

Statement: 4x n is greater than 4

Required

Value of n

First we need to rewrite the statement in algebraic form;

Product 4 * n is represented by 4n

greater than 4 is represented by > 4

Bringing these two together, it gives the following

Divide through by 4

We've arrive at solution;

This means that n is greater than 1

So, the values of n must start from 2 to show that the condition is true

please help i’ll give brainliest❤️

Answers

Answer:

12 should be right I think I did the math

Step-by-step explanation:

£412 ————> €515
£500 ————> (515/412)*500 = €625

The answer is €625

Who know the answer to this?

Answers

Answer: A (w=2a+3)

Step-by-step explanation: The answer is A because for every week after the tiger is born it gains 2 pounds. that's the w=2a part. The +3 is there because the tiger started with 3 pounds.

Abraham went hiking last Saturday. From the car park, he walked 4 km due north,
then 2.5 km due west before stopping to eat his picnic.

a) Draw a diagram to show his journey.
b) Write down the journey as the sum of two column vectors.
c) After his picnic, Abraham walked in a straight line back to the car park. How far did he walk to get back?

Answers

Answer:

a. (see attachment)

b. 6.5 km

c. 4.717 km

MAKE SURE TO USE UNITS

I really need help please! Number 5!! (Factoring)

Please show how you got it.

Answers

Answer:

(4×-3)(2x-1)

Step-by-step explanation:

8x²-10x+3

8x²-4x-6x+3

4x(2x-1)-3(2x-1)

(4×-3)(2x-1)

Help please who ever correct brainliest

Answers

Answer:

Step-by-step explanation:

  5

3  _

    18

Other Questions
NEED ASAP!!!Which Supreme Court case made a deicion about interstate commerce?Gibbons v. OgdenMarbury v. MadisonDred Scott v. SanfordMcCulloch v. Maryland What would the direct approach would look like ? 1.What is federalism? 2. What is difference between delegated and reserved powers? Write two to three sentences describing how Wileys handling of the conflict proves he is the protagonist and hero of this story. What is the style of the play, A Doll's House is?A. ComedyB. MelodramaC. RealismD. Romanticism What is the first step in solvingthe equation x - 16 = 4?A Subtract 16 from both sides of the equation.B Subtract 4 from both sides of the equation. Multiply both sides of the equation by 16.DAdd 16 to both sides of the equation.I NEED THIS ASP Prokaryotic cells are defined as those cells which do not have a(n) ___. Why fresh graduates consider working in a Call Center? julie has 1.50 in quarters how many quarters does julie have 8. Archie plotted the points on the graph below to show how the amount he owes for tuition decreases as the number of tuition payments increases. What does the rate of change of the points represent? * Complete the table of equivalent ratios What was the Constitutional Convention?(Who was there? When did it take place? Where did it take place? Why was it created? What is it? (Describe the format and contents) A rainwater collection barrel has the dimensions shown.22 in.34 inWhich explanation describes how to determine the number of cubic inches the barrel holds whenat capacity? Use the following graph for questions 1 - 4. Rise is the vertical change ofthe line from one point to another. What is the rise of the following line? *A -4B 4C 2D 3 GIVING OUT BRAINLIEST TO THE PERSON WHO GIVES THE CORRECT ANSWER FIRST!!question: Do these pairs of values (x and y) represent two quantities that are proportional?Answer choices:A.) Yes, because as x increases, y increases.B.) No, because not all of the pairs represent the same ratio.C.) Yes, because all of the pairs represent the same ratio.D.) No, because not all of the x-values can be divided by 2 evenly. choose the items correctly describe hernado desota 3x+57+x-17=180 What does x equal? PLZ HELP how does the language in Macbeth by Shakespeare help you understand the characters and tone? What is the concentration of chloride in a solution made with 0.808 grams of CaCl2 and 250.0 ml of water.? Find the slope of the line passing through the points (-7,8) and (-7,-4).