Find the value of x in each case.

Find The Value Of X In Each Case.

Answers

Answer 1

Answer:

x = 13 deg

Step-by-step explanation:

As shown in the picture, you have:

CF and CD are perpendicular

=> angle BCF = 90 deg

=> angle BCE + angle ECF = angle BCF = 90 deg

or angle BCE + 64 = 90

=> angle BCE = 90 - 64 = 26 deg

Point A, B, and C are collinear

=> (angle ABE) + angle CBE = 180 deg  (1)

Otherwise, as the property of the sum of 3 angles in a triangle:

(angle BEC + angle BCE) + angle CBE = 180 deg  (2)

From (1) and (2) you would have:

angle ABE = angle BEC + angle BCE

or

3x = 26 + x

<=> 3x -  x = 26

<=> 2x = 26

<=> x = 26/2

<=> x = 13

=> angle BEC = x = 13 deg

=> angle ABE = 3x = 3(13) = 39 deg

Hope this helps!


Related Questions

Alex and Thomas share 30 sweets.They divide them in the ratio 3:2. Which share is Alex?​

Answers

Answer:

Alex : 18

Step-by-step explanation:

3 + 2 = 5

30 ÷ 5 = 6

6 × 3 = 18

6 × 2 = 12

PLS HELP How many cubes with side lengths 1/4 of does it take to fill the prism

Answers

1 whole or 4/4 time's what its being compaired to then multiply to get your answer! :D stay safe!

Answer:

224

Step-by-step explanation:

Khan hehe

x^2 + 6x + 5 show equation​

Answers

Answer:

[tex]\boxed{\sf \ \ \ x=-5 \ \ \ or \ \ \ x=-1 \ \ }[/tex]

Step-by-step explanation:

[tex]x^2+6x+5 = x^2+x+5x+5 = x(x+1)+5(x+1)=(x+5)(x+1)[/tex]

so

[tex]x^2+6x+5 = 0 <=> (x+5)(x+1)=0\\\\<=> x = -5 \ or \ x=-1[/tex]

hope this helps

6,000 = bu + 4,000. Given the above equation with constant b, what is the value of 600,000 + 100 bu + 400,000 in millions?

Answers

Answer:

1.2 million

Step-by-step explanation:

First multiply the equation by 100. You get:  

600,000 = 100bu + 400,000

Now recognize that you can substitute:

600,000 + 100bu + 400,000

= 600,000 + (600,000)

= 1,200,000

That’s 1.2 million.

The value of the equation given is 1.2 millions.

What are equations?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given that, an equation, 6,000 = bu + 4,000, we need to find the value of the equation 600,000 + 100 bu + 400,000,

So, In the equation 1, multiply by 100, we get,

6,000 = bu + 4,000

600000 = 100 bu + 400000

Now, put this in equation 2,

600,000 + 100 bu + 400,000

= 600000 + 600000

= 1200000

= 1.2 millions

Hence, the value of the equation given is 1.2 millions.

Learn more about equations, click;

https://brainly.com/question/29657983

#SPJ3

Helpppppppp??????????

Answers

Answer:

Answer is option d

Answer is given below with explanations.

Step-by-step explanation:

We can prove that the two triangles are similar.

We can prove this using AA criterion of similarity.

In triangle DNC and triangle QSC

Vertically opposite angles are equal.

Then Angle QCS = Angle DCN

Two parallel lines cut by a transversal line make the alternate angles are equal.

Then Angle NDC = Angle CQS

By AA criterion of similarity

TRIANGLE DNC ~ TRIANGLE QSC

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

The awnser is D I hope I could helppp

If 3* = 54, then which of the following must be true?

Answers

Answer: 3 < pi < 4

Step-by-step explanation:

The sum of three consecutive integers is 270. Find the integers

Answers

Answer:

Step-by-step explanation:

89,90,91

Answer:

Let's call the first integer x, and therefore, the second and third integers would be x + 1 and x + 2 respectively since they are consecutive. Since their sum is 270 we can write:

x + x + 1 + x + 2 = 270

3x + 3 = 270

3x = 267

x = 89 which means that the answer is 89, 90, 91.

Jason’s budget is shown in the circle graph below. His total monthly budget is $3,000. How much does Jason spend on groceries?
A $25
B $150
C $450
D $750

Answers

Answer:

D.) 750

Step-by-step explanation:

3000-25%= 2250

3000-2250=750

Answer:

(D) $750

Step-by-step explanation:

[tex]3000* 0.25=750[/tex]

The parabola whose equation is
y = ax2 + bx + c passes through the points
(-3, -40), (0, 29), and (-1, 10). What is an
equation of the line of symmetry?
PLEASE EXPLAIN bc I really don’t understand

Answers

Answer:

29

Step-by-step explanation:

23

y=-2
x=-2y=6

y=-2
x+2y=6

x=-2
2x-y=3

x=-2
2x+y=-3

Answers

Answer:x+y=24  

is the respuesta

The value of a car decreases $500 for every 1,000 miles it is driven. The current value of the car is $23,000, and the car is driven an average of 10,000 miles per year. What will be the value of the car, in dollars, at a point in time y years from now?

A) $23,000 − $500y

B) $23,000 − $0.02y

C) $23,000 − $5,000y

D) $23,000 − $0.0002y

Answers

Answer: C

Step-by-step explanation:

If we know the value of the car decreases $500 for every 1,000 miles, and that the car is driven about 10,000 miles every year, that means that you need to take the total value of the car (23,000) and subtract it from the amount of money it is losing per year. Again, the car is driven about 10,000 miles per year, so that means that the car will most likely continue to be driven 10,000 miles per year. If you do the math, for one year, the value of the car will drop $5,000 ($500 x 10, because it is $500 per every 1,000 miles) So, for each year, you can just multiply the number of years by $5,000 to find out how much the vehicle has depreciated over time.

Hope this helped you and made sense! Feel free to ask me any questions you have!

Jaxon’s mother spends more than 2 hours cleaning the house. The inequality x greater-than 2 represents the situation. Which graph represents the inequality? A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded. A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the left of the circle is shaded. A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the right of the circle is shaded. A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the left of the circle is shaded.

Answers

Answer:

A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded.

Step-by-step explanation:

x > 2 is the inequality

It is open circle at 2 as 2 is not included. Shaded to the right of the circle as it should be greater than 2

------------------

A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded.

Yes, this is the correct option

A number line going from negative 3 to positive 7. An open circle is at 2.  Everything to the left of the circle is shaded.

No, it should be right not left

A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the right of the circle is shaded.

No, it should be open circle as 2 is not included

A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the left of the circle is shaded.

No, it should be open circle and right side to be shaded, not left

Answer:

It's A I did the test. I got 100%.

Step-by-step explanation:

Please give brainliest if it helped you! Thanks, have a great day <3

Which expression is equivalent to -12 (3x-3/4)? a. -36x-8 b. -36x+8 c. -36x-9 d. -36 x+9

Answers

Answer:

-36x +9

Step-by-step explanation:

-12 (3x-3/4)

Distribute

-12*3x - 12*-3/4

-36x +9

Answer:

d

Step-by-step explanation:

Help please, will mark brainliest ​

Answers

Answer:

Step-by-step explanation:

LET ORANGES=X

PEARS ARE 3 TIMES =3X

LET CHILDREN=Y

IF WE GIVE 5 ORANGES PER CHILD WE NEED 5Y ORANGES.SO THIS =X

X=5Y........................I

IF WE GIVE 8 PEARS PER CHILD WE NEED 8Y PERARS...THERE ARE STILL 21 PEARS LEFT OUT AFTER THIS THAT IS

8Y+21=3X....................II

SUBSTITUTING FOR X FROM EQN.I..

8Y+21=3*5Y

15Y-8Y=21

7Y=21

Y=3

X==5Y=5*3=15..

SO CHILDREN =3

ORANGES=15

PEARS=3*15=45

THANKYOU AND PLEASE AMRK IT BRAINLIEST

In ΔCDE, m∠C = (9x+11)^{\circ}(9x+11) ∘ , m∠D = (3x-15)^{\circ}(3x−15) ∘ , and m∠E = (2x+16)^{\circ}(2x+16) ∘ . What is the value of x?

Answers

Answer:

x = 12

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, that is

9x + 11 + 3x - 15 + 2x + 16 = 180, simplify left side

14x + 12 = 180 ( subtract 12 from both sides )

14x = 168 ( divide both sides by 14 )

x = 12

PLS HELP ME GUYS I NEED HELP WITH GEOMETRY

Answers

Answer:

7, -21

Step-by-step explanation:

F could be located 14 to the left of -7 or 14 to the right of -7.  7 and -21 could be the possible locations of F.

Line a is parallel to line b. If the measure of <2 is 78, what is the measure of <5

Answers

Step-by-step explanation:

x + 78 = 180

x = 180 - 78

x = 102° for <5

Find the average rate of change of the function

f(x) = x² + 9x from x1 = 1 to x2 = 5.

Answers

Answer:

15

Step-by-step explanation:

The function is;

f(x) = x² + 9x

We are to find the average rate of change from point [tex]x_{1}[/tex] = 1 to point [tex]x_{2}[/tex] = 5

Average rate of change = [tex]\frac{f(x+h) - f(x)}{h}[/tex]  where h is the change in x-axis

When x = 1 , f(x) = 1² + 9(1) = 10

When x = 5, f(x) = 5² + 9(5) = 70

f(x + h) - f(x) = 70 - 10 = 60

h = 5 - 1 = 4

So average rate of change = [tex]\frac{60}{4}[/tex] = 15

The average rate of change of the function f(x) = x² + 9x from x₁ = 1 to

x₂ = 5 will be 15.

What is Average rate?

The average rate change is defined by divide the change in y - values by the change in x - values.

Given that;

The function is defined as;

⇒ f(x) = x² + 9x ; from x₁ = 1 to x₂ = 5

Now,

The formula for the average rate change is given as;

Average change = f (x + h) - f (x) / h

Where, h is change in x - axis.

Since, The function is;

f(x) = x² + 9x

When,  x₁ = 1

f(x) = x² + 9x

f(1) = 1² + 9

f (1) = 10

When, x₂ = 5

f(x) = x² + 9x

f(x) = 5² + 9 x 5

f (5) = 25 + 45

f (5) = 70

So, Average change = f (x + h) - f (x) / h

Average change = 70 - 10 / (5 - 1)

                         = 60 / 4

                         = 15

Thus, The average rate of change of the function f(x) = x² + 9x from x₁ = 1 to x₂ = 5 will be 15.

Learn more about the average rate visit:

https://brainly.com/question/27849077

#SPJ2

hi:) I tried using the sine rule but I couldn’t get the ans :( anyone able to help? Thank you:)!!

Answers

Answer:

141.9° (1 d.p.)

Step-by-step explanation:

Please see attached picture for full solution.

Sine rule cannot be used since there is no given angle in △PQR. Note that the bearing of Q from P (041°) equals to ∠NPQ not ∠PQR.

hey pls show some working i need some serious help

Answers

Answer:

[tex]\frac{x^{12}y^{4}}{z^3}[/tex]

Step-by-step explanation:

Step 1: Multiply exponents

[tex]\frac{y^{6/6}z^{-6/2}}{x^{-12}y^{-6/2}}[/tex]

Step 2: Simplify

[tex]\frac{yz^{-3}}{x^{-12}y^{-3}}[/tex]

Step 3: Flip the negative exponents

[tex]\frac{x^{12}y^{4}}{z^3}[/tex]

Edmund makes a cube using eight small cubes.

Samuel uses cubes of the same size as the small cubes to make a cuboid twice as long, three times as wide and four times as high as Edmund’s cube

Answers

Answer: 184

Step-by-step explanation:

so edmund would have a 2 by 2 cube (try and draw it out if that helps) so

2 x 2 = 4

2 x 3 = 6

2 x 4 = 8

so samuel cubeboid would be

long = 4

wide = 6

hight = 8

8 x 6 x 4 = 192 small cubes

but we are trying to find how much more samuel got

so 192 - 8 = 184

The following data summarizes
yesterday's orders at Sizzlin' Skillets. 3
Vegetable, 6 Chicken, 2 Pork, 2 Beef, 5
Shrimp. Based on this data, what is a
reasonable estimate of the probability
that the next type of stir fry ordered is
vegetable?
A: 0.11
B: 0.17
C: 0.28
D: 0.33​

Answers

Answer: 3/21=1/7

Step-by-step explanation:

PLZ HELP Find the surface area of this rectangular pyramid. 48.5 square inches 48 square inches 31.75 square inches 55 square inches

Answers

Answer:

48.5

Step-by-step explanation: i just did the problem

Answer:

48.5 is your answer

Step-by-step explanation:

What percent of the rectangle below is shaded?

Answers

Answer:

80% of the rectangle is shaded.

Step-by-step explanation:

There are 10 rows and of those rows 8 are shaded.

Answer:

D

Step-by-step explanation:

80/10

10 20 30 40 50 60 70 80 90 100

 8 shaded so 80 percent

can you divide by zero

Answers

Answer:

No

Step-by-step explanation:

When you divide by 0, you will get an undefined error. When you try to graph a divide by 0, you will get asymptotes.

Answer:

no

Step-by-step explanation:

SOMEONE PLEASE HELP ME ASAP PLEASE!!!​

Answers

Answer:

243,729

Step-by-step explanation:

You just need to multiply each number by 3.

I hope this help you :)

Answer:

243, 729

Explanation:

To solve this problem we must first understand what the pattern is in the sequence. Once we understand the pattern, we can then apply it to the final known term to find the next two terms.

Take a look at the sequence given:

1, 3, 9, 27, 81,...

Let's start by figuring out how they got the second term in the sequence. To do that, identify what basic operation and number must be applied. This will reveal the pattern.

1 - first term

3 - second term

1 ? ? = 3

1 × 3 = 3

So, this means the sequence multiplied three to get the next term. Therefore, the pattern should be 'multiply three' to get the next term. Just to be sure the pattern we found is correct, apply it to the given sequence.

1, 3, 9, 27, 81,...

1 × 3 = 3

3 × 3 = 9

9 × 3 = 27

27 × 3 = 81

So, since 'multiply three' every time gives us the next term, the pattern is correct.

Finally, let's continue the pattern to find the next two terms.

81 × 3 = 243

243 × 3 = 729

Therefore, the next two terms in the sequence are 243, 729.

Find the output, y, when the input, x is −4

Answers

Answer:

i mean if i was you it would be 4 postive , in my math head

Step-by-step explanation:

A triangle has vertices A (-5, -4), B (2, 6), and C (4, -3). The center of dilation is the origin and (x, y) changes to (3x, 3y). What are the vertices of the dilated image?

Answers

Answer:

(-15,12),(6,18)(12,-9)

Step-by-step explanation:

Given

A (-5, -4), B (2, 6), and C (4, -3)

Dilated from (x,y) to (3x,3y)

Required

Vertices of the dilated image

First, the scale factor has to be calculated

This is calculated as thus;

Dilation = Original * Scale Factor;

In case of (x,y) to (3x,3y)

So, we have

[tex](3x,3y) = Scale\ Factor * (x,y)[/tex]

Simplify brackets

[tex]3(x,y) = Scale\ Factor * (x,y)[/tex]

Divide both sides by (x,y)

[tex]\frac{3(x,y)}{(x,y)} = \frac{Scale\ Factor * (x,y)}{(x,y)}[/tex]

[tex]\frac{Scale\ Factor * (x,y)}{(x,y)}=\frac{3(x,y)}{(x,y)}[/tex]

[tex]Scale\ Factor =\frac{3(x,y)}{(x,y)}[/tex]

[tex]Scale\ Factor =3[/tex]

Now, the vertices of the new image can be calculated;

Using the formula: Dilation = Original * Scale Factor;

At vertex A(-5,4)

Dilation = (-5,4) * 3

Dilation = (-5*3 ,4*3)

Dilation = (-15,12)

At vertex B(2,6)

Dilation = (2,6) * 3

Dilation = (2*3 ,6*3)

Dilation = (6,18)

At vertex C(4,-3)

Dilation = (4,-3) * 3

Dilation = (4*3 ,-3*3)

Dilation = (12,-9)

Hence, the vertices of the dilated image are (-15,12),(6,18)(12,-9)

Solve for x in the triangle. Round your answer to the nearest tenth.

Answers

Answer:

x = 5.5 to the nearest tenth.

Step-by-step explanation:

Here we have a right triangle with one angle (65 degrees) given.  Side x is the "side adjacent to the angle" and is to be found.  The hypotenuse is 13.

The cosine function makes use of these three knowns:  the angle, the hypotenuse and the adjacent side.  Thus:

cos 65 degrees = adj / hyp = x / 13, or

x = 13 cos 65

Evaluating this on a calculator, we get  x = 5.49, or x = 5.5 to the nearest tenth.

Which of the following are solutions to lx-1|=5x+2? Check all that apply

Answers

Answer:

x=-3/4 x=-1/4

Step-by-step explanation:

x-1=5x+2

-3=4x

x=-3/4

x+1=5x+2

-1=4x

x=-1/4

Other Questions
Mr. X and Y are having a discussion. Mr. X felt that business is based on selfish desires to gain higher and higher profits while Mr. Y felt that profit is essential for business. Can you support Mr. Y's case by providing strong points for his favour. Question is down below, best answer gets Brainliest! Good luck! A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has eight identical components, each with a probability of 0.45 of failing in less than 1,000 hours. The sub system will operate if any four of the eight components are operating. Assume that the components operate independently. (Round your answers to four decimal places.)Required:Find the probability that the subsystem operates longer than 1000 hours. Factor the quadratic expression: x^2 + 25 QUESTION 16tissue covers organs and lines cavities. Pratt Corp. started the Year 2 accounting period with total assets of $37,000 cash, $15,500 of liabilities, and $12,000 of retained earnings. During the Year 2 accounting period, the Retained Earnings account increased by $14,550. The bookkeeper reported that Pratt paid cash expenses of $29,500 and paid a $2,700 cash dividend to stockholders, but she could not find a record of the amount of cash revenue that Pratt received for performing services. Pratt also paid $10,000 cash to reduce the liability owed to a bank, and the business acquired $8,500 of additional cash from the issue of common stock. Assume all transactions are cash transactions.Requried:a. Prepare an income statement for the 2018 accounting period.b. Prepare a statement of changes in stockholders equity for the 2018 accounting period.c. Prepare a period-end balance sheet for the 2018 accounting period.d. Prepare a statement of cash flows for the 2018 accounting period. Solve 15=1.5r+3 check your solution What is meant by the following statement about the cell membrane?The cell membrane is said to be semipermeable.O A. It will not allow any molecules to pass through.osoO B. It does not contain any membrane proteins.O C. It is very selective about what it allows to pass through.D. It allows all polar molecules into the cell. What is the algebraic expression for "the sum of three times a number and seven"? A. 3 x + 7 B. 3 x + 11 x C. 3 + 7 x Which of the following statements is correct? (1) Translation always begins with an AUG start codon. (2) The start codon establishes the reading frame of mRNA. (3) The mRNA molecule is read one codon at a time until a stop codon is reached. The Book Thief Essay (please help, I will mark Brainiest) Prompt: Which character is most affected by the war, and how? In the short story, All Summer in a Day" by Ray Bradbury, how and why does thechildren's point of view about Margot change throughout the course of the story? what does the U in fun stand for? Read the excerpt from "How We Entered World War I."In the midst of it came the revelation of the telegram from German Foreign Minister Arthur Zimmermann inviting Mexico into alliance as a belligerent. As a scheme to keep U.S. forces occupied on their own border, it offered to help Mexico regain her lost territories of Texas, Arizona, and New Mexico.The author most likely uses the word "scheme" toexplain to the reader that acts of war are carefully planned and executed.point out the anger the United States had toward Mexico and Germany.show the reader that Germany was a legitimate threat to the United States.detail the plan Germany had devised to ally itself with Mexico in World War I. Como eu resolvo isso? x + y = 7 x + y = 1 A group of investors has formed SandInn Corporation to purchase a small hotel. The price is $200,000 for the land and $800,000 for the hotel building. If the purchase takes place in June, com- pute the MACRS depreciation for the first three calendar years. Then assume the hotel is sold in June of the fourth year, and compute the MACRS depreciation in that year also. The temperature at 12 Noon was above zero. If it decreases at the rate ofPer hour until midnight, at what time would the temperature be below zero? How many units of insulin are in 0.75 ML a regular U 100 insulin Tri Fecta, a partnership, had revenues of $364,000 in its first year of operations. The partnership has not collected on $45,100 of its sales and still owes $38,400 on $220,000 of merchandise it purchased. There was no inventory on hand at the end of the year. The partnership paid $28,300 in salaries. The partners invested $46,000 in the business and $25,000 was borrowed on a five-year note. The partnership paid $3,000 in interest that was the amount owed for the year and paid $9,400 for a two-year insurance policy on the first day of business. Ignore income taxes.Compute the cash balance at the end of the first year for Tri Fecta.a) $ 332,110b) $ 161,640c) $ 166,290d) $ 155,440 Fill in th blanks using A, an, the He wants to buy ______ new dress. We decided to go on ______ picnic. there had been ____ heavy rainfall. Both children are _____ animal lovers.