find the value of x of given figure and solve this question step by step plzz help question number D​​

Find The Value Of X Of Given Figure And Solve This Question Step By Step Plzz Help Question Number D

Answers

Answer 1

Answer:

x=15 cm

Step-by-step explanation:

The two triangles in the diagram are:

ABC and BDC

First we have to find the third side (hypotenuse) of BDC so that we can use it to find the value of x.

Hypotenuse is the largest side of a triangle which is usually in front of the right angle.

So in BDC

[tex]Base = BD =10cm\\Hypotenuse = BC = ?\\Perpendicular = CD = 2\sqrt{11}cm[/tex]

Applying Pythagoras theorem:

[tex](Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2\\BC^2 = BD^2 + CD^2\\BC^2 = (10)^2 + (2\sqrt{11})^2\\BC^2 = 100+(2^2 * 11)\\BC^2 = 100+(4*11)\\BC^2 = 100+44\\BC^2 = 144\\\sqrt{BC^2} = \sqrt{144}\\BC = 12cm[/tex]

Solving for triangle ABC

[tex]Base = BC = 12 cm\\Perpendicular = AB = 9 cm\\Hypotenuse = AC = x\\[/tex]

Applying Pythagoras theorem

[tex]AC^2 = BC^2+AB^2\\x^2 = (12)^2 + (9)^2\\x^2 = 144+81\\x^2 = 225\\\sqrt{x^2} = \sqrt{225}\\x = 15cm[/tex]

Hence,

x=15 cm


Related Questions

What is greater 1.036 1.306

Answers

Answer:

1.306

Step-by-step explanation:

1.3 is bigger than

1.03

Answer:

1.306 is greater

Step-by-step explanation:

In the ones place, the number one is equal for both numbers, so you move to the next number in the tenth place, which is .0 and .3 Three is greater than zero, which makes 1.306 greater than 1.036.

HELP! THIS IS DUE TODAY AND ITS A TEST!

Jack needs 7.58 meters of wood to complete a school project. He buys a 2.25 meter plank of wood and a 3.12 meter plank of wood. How many more meters of wood does Jack need to buy for his school project?

Answers

Answer:

2.21

Step-by-step explanation:

Total meters of wood = 7.58

first time shopping: 2.25

second time shopping: 3.12

total = 2.25 + 3.12

total = 5.37

How many more meters of wood does Jack need to buy for his school project?

Meters needed = 7.58 - 5.37

Meters needed = 2.21

In the figure below, ∠DEC ≅ ∠DCE, ∠B ≅ ∠F, and segment DF is congruent to segment BD . Point C is the point of intersection between segment AG and segment BD while point E is the point of intersection between segment AG and segment DF .

Prove ΔABC ≅ ΔGFE. (10 points)

Answers

Answer:

Step-by-step explanation:

Given:

∠DCE ≅ ∠DEC

∠B ≅ ∠F

DF ≅ BD

To prove:

ΔABC ≅ ΔGFE

Solution:

                  Statements                            Reasons

1). ∠DCE ≅ ∠DEC                                1). Given

2). ∠ACB ≅ ∠GEF                               2). Vertically opposite angles to the

                                                                 congruent angles.

3). ∠B ≅ ∠F                                         3). Given

4). DB ≅ DF                                         4). Given

5). DC + CB ≅ DE + EF                       5). Segment addition postulate

6). DC ≅ DE                                        6). Property of isosceles triangle

7). CB ≅ EF                                         7). Transitive property

8). ΔABC ≅ ΔGFE                              8). ASA property of congruence

Which is the correct answer choice?

Answers

Answer:

second one I think is best for you to do

Answer: Plain coffee

Step-by-step explanation:

The two branches (2 and 3) divide into the two drinks of the sale. Since espresso is already in the diagram and coffee is not, and coffee is independent from espresso, coffee is found in box 1.

Plz Hurry This Is Timed​

Answers

Answer:

2nd answer. it is because it is

Answer:

I believe the correct answer is the first one

Step-by-step explanation:

Solve for X......:) <3

Answers

Answer:

x = 88

Step-by-step explanation:

All angles in a triangle equal 180 degrees. So our equation will be:

x + 48 + (x - 44) = 180

x + 48 + x - 44 = 180

2x + 48 - 44 = 180

2x + 4 = 180

2x = 176

x = 88

Hope this helps!

It’s you birthday and you bought a giant sandwich to feed all of your guests. The sandwich is 10 1/2 feet long and you need to feed 14 people. If everyone gets a same sized piece how big is the piece going to be?
I NEED THIS ANSWER ASAP PLZ

Answers

Answer: [tex]1\dfrac{3}{4}\text{ feet}[/tex]

Step-by-step explanation:

Given: Length of sandwich = [tex]10\dfrac12\text{ feet}=\dfrac{21}{2}\text{ feet}[/tex]

Total people = 14

If everyone gets a same sized piece , then length of each piece should be

[tex]\dfrac{\text{ Length of sandwich}}{\text{Total people}}[/tex]

[tex]=\dfrac{\dfrac{21}{2}}{14}\text{ feet}\\\\=\dfrac{21}{2\times14}\text{ feet}\\\\=\dfrac{7}{2\times2}\text{ feet}\\\\=\dfrac{7}{4}\text{ feet}\\\\=1\dfrac{3}{4}\text{ feet}[/tex]

Hence, length of each piece = [tex]1\dfrac{3}{4}\text{ feet}[/tex]

tools used to physically represent numbers​

Answers

Answer:

The most frequently employed tools are traditional, which include physical ... These three tools can be used independently or conjointly, depending on the type of ... Learning tools can represent mathematical ideas in multiple ways, providing ... nature of concepts, such as numbers, thereby making them real and tangible,...

Step-by-step explanation:

PLEASE HELP!?!? What is the slope of the line graphed below?
(3, 3)
(0,-6)
m =
A.1/3
B. -3
C. 3
D. -1/3

Answers

Answer:

Option B is correct -3

Step-by-step explanation:

(3, 3)

(0,-6)

Slope=y1-y2/ x1-x2

=3+6/0-3

=9/-3

=-3

Slope is -3 so option B is correct

Answer: It’s -3, just did it

Step-by-step explanation:

Which symbol correctly compares these two fractions? 7/8 and 2/3

Answers

Answer: >

Step-by-step explanation:

7 eights is greater than the amount of 2 thirds.

The answer to the question is >. Hope this helps!

What type of function can be used to determine side length of a square if the independent variable is the square's area?

a. Cubic
b. Linear
c. Quadratic
d. Square root

Answers

kinda confused by the phrasing of the question but i think it should be D, square root, as to find the side length of a square you’ll have to square root the square’s area.
C.Quadratic or Quadratic Area

Please help!! What Find the Error and explain why it is wrong!

Answers

Answer:

First image attached

The error was done in Step E, because student did not multiply [tex]2\cdot x -8[/tex] by the negative sign in numerator. Step E must be [tex]\frac{2\cdot x -5}{(x+4)\cdot (x-4)}[/tex].

Second image attached

The error was done in Step C, because the student omitted the [tex]2\cdot a \cdot b[/tex] of the algebraic identity [tex](a+b)^{2} = a^{2}+2\cdot a\cdot b +b^{2}[/tex]. Step C must be [tex]5\cdot x = x^{2}+4\cdot x + 4[/tex]

Step-by-step explanation:

First image attached

The error was done in Step E, because student did not multiply [tex]2\cdot x -8[/tex] by the negative sign in numerator. The real numerator in Step E should be:

[tex]3-(2\cdot x -8)= 3-2\cdot x+8 = 11-2\cdot x[/tex]

Hence, Step E must be [tex]\frac{2\cdot x -5}{(x+4)\cdot (x-4)}[/tex].

Second image attached

The error was done in Step C, because the student omitted the [tex]2\cdot a \cdot b[/tex] of the algebraic identity [tex](a+b)^{2} = a^{2}+2\cdot a\cdot b +b^{2}[/tex]. Step C must be [tex]5\cdot x = x^{2}+4\cdot x + 4[/tex]

And further steps are described below:

Step D

[tex]x^{2}-x+4 = 0[/tex]

Which according to the Quadratic Formula, represents a polynomial with complex roots. That is: ([tex]a = 1[/tex], [tex]b = -1[/tex], [tex]c = 4[/tex])

[tex]D = b^{2}-4\cdot a\cdot c[/tex]

[tex]D = (-1)-4\cdot (1)\cdot (4)[/tex]

[tex]D = -17[/tex] (Conjugated complex roots)

Step E

[tex](x-0.5-i\,1.936)\cdot (x-0.5+i\,1.936) = 0[/tex]

Step F

[tex]x = 0.5+i\,1.936\,\lor\,x = 0.5-i\,1.936[/tex]

Question 2: At a swimming pool the ratio of those wearing sunscreen to
those not wearing sunscreen was 7 to 5. If the number of people not
wearing sunscreen was 30 then which of the following was the number of
people who were wearing sunscreen? *
—————————-
25
36
38
42

Answers

Answer:

42

Step-by-step explanation:

Which equation is equivalent to n + 4 = 11? *
O (n + 4) x 2 = 11
O (n + 4) x 2 = 11 / 2
(n+ 4) x2 = 11 x 4
(n + 4) x 2 = 11 x 2

Answers

Answer: b.

Step-by-step explanation: I have the answer sheet

On a tour of an gold mine, you find a nugget containing 0.82 ounce of gold. Gold is worth $1323.80 per ounce. How much is your nugget worth?

Answers

Answer:

$1085.516

Step-by-step explanation:

just multiply 1323.80 and 0.82

Find the slope of the line through the
given points: (2.5) & 4, 10).

Answers

Answer:

5

_

2

IS THE SLOPE OF (2,5) (4,10)

Answer:

Slope = 5/2

Step-by-step explanation:

10-5

4-2

35,427 to nearest ten

Answers

Answer:

the answer is 35,430

Step-by-step explanation:

Find the number in the ten place 22 and look one place to the right for the rounding digit 77. Round up if this number is greater than or equal to 55 and round down if it is less than 55.

Which equation is parallel to y=-3 x + 4 and passes through the point (-3, 4)?

Answers

Answer:

y=−3x-5

Step-by-step explanation:

Answer:

Find the slope of the original line and use the point-slope formula y−y1=m(x−x1)to find the line parallel to y=−3x+4y

y=−3x−5y

4.
3. A full container of juice holds 64 fluid
ounces. How many 7-fluid ounce servings
of juice are in a full container?

Answers

Answer:

9.1 or 9.1 ≈ 9

Step-by-step explanation:

All you have to do is divide 64/7 which gives you the number of containers.

Hope this helps!

Of the 1450 books in the library, there are 6 times as many books in the fiction section as are in the nonfiction section. Also, there are 400 more books in the reference section than are in the nonfiction section. How many books are in each section?
Fiction: Nonfiction: Reference:

Answers

Number of books in non fiction section  = 200

Number of books in fiction section  = 800

Number of books in reference section  = 850

Step-by-step explanation:

Total number of books in the library = 1850

Let us assume, number of books in non fiction section = m

Number of books in fiction section= 4 x Number of books in non  fiction

= 4  x  (m)

So, the number of books in reference section = 650 + m

Now, Total Number of books =  Number of { Fiction + Non- Fiction + Reference} Books

or,  1850 =  m + (4 m)  + 650 + m

or, 6 m + 650 = 1850

⇒ 6 m = 1850 - 650 = 1200

or, m = 1200 / 6 = 200  

⇒ m = 200

Hence, the number of books in non fiction section  = 200

Number of books in fiction section  =  4 m = 4 x 200 = 800

Number of books in reference section = 650 + m  = 200 + 650 = 850

The figure shows the letter M and four of its transformed images-A, B, C, and D:
2 3 4 5 6
MWM
Which of the four images was formed by a reflection of the letter M? (1 point)
OA
OB

Answers

Answer:

D

Step-by-step explanation:

HOPE THIS HELPS

HAVE A good  DAY

Select the correct answer. What is 8,400 divided by 7? A. 1,200 B. 1,300 C. 1,700 D. 1,900

Answers

Answer 8400 divided by 7 is 1200

A survey of licensed drivers inquired about running red lights. One question asked, "Of every 10 motorists who run a red light, about how many do you think will be caught?" The mean result for 880 respondents was
¯x= 1.92. Suppose we know that σ = 1.83. Compute a 95% confidence interval for the mean opinion in the population of all licensed drivers. (Round your answer to the nearest hundredth.)

Answers

Answer: (0.79, 3.05 )

Step-by-step explanation:

Confidence interval for the population mean:

[tex]\overline{x}\pm z^c\dfrac{\sigma}{\sqrt{n}}[/tex]

, where [tex]\overline{x}[/tex] = Sample mean

[tex]\sigma[/tex] = population standard deviation

n= sample size.

[tex]z^c[/tex] = Critical z value for confidence interval c.

As per given:

n= 10

[tex]\overline{x}=1.92[/tex]

[tex]\sigma=1.83[/tex]

Critical z-value for 95% confidence = 1.96

A 95% confidence interval for the mean opinion in the population of all licensed drivers:-

[tex]1.92\pm (1.96)\dfrac{1.83}{\sqrt{10}}\\\\=1.92\pm1.134\\\\= (1.92-1.134,\ 1.92+1.134)\\\\\approx(0.79,\ 3.05 )[/tex]

Hence, a 95% confidence interval for the mean opinion in the population of all licensed drivers = (0.79, 3.05)

The LCM of 6 and 10 is _______. Numerical Answers Expected! Answer for Blank 1:

Answers

Answer:

2

Step-by-step explanation:

2 times 3 6

2 times 5 is 10

Answer:

30

Step-by-step explanation:

The LCM of 6 and 10 is 30.

Simplify the expression. .

2.3h( 6 – k)

Step by step please

Answers

Answer:

18h - 3hk

Step-by-step explanation:

3h(6 - k)

= 3h(6) + 3h(-k)

= 18h + -3hk

= 18h - 3hk

The simplified for of the expression 2.3h(6 - k) can be written as 13.8h - 2.3hk

Given the expression :

2.3h(6 - k)

Open the bracket ; multiply values in the bracket by 2.3h

13.8h - 2.3hk

Since there is no other way to reduce the expression further, then the simplified form of the expression would be expressed as 13.8h - 2.3hk

Learn more : https://brainly.com/question/18109354

What is the slope of the line that passes through the points (2, -3) and (5, 1)?
1.-2/3
2.2/3
3.-4/3
4.4/3

Answers

Answer:

4/3

Step-by-step explanation:

To find the slope you use the equation y2 - y1 / x2 - x1. This means you take the y variable from your 1st point and subtract it from the y variable from the 2 one. ex: 1 - (-3) = 4 And then put it over the x variable from the first one subtracted from the x variable of the second one ex: 5 - 2 = 3 -> 4/3. If possible, simplify, but if it's like this one you don't have to.

A watercooler contains 160 cups of water. During practice, each person on a team fills a
water bottle with 3 1/3 cups of water from the cooler. Is there enough water for all 45
people on the team to fill their water bottles?
O yes
Ono

Answers

Yes, because 3 1/3 times 45 equals 150 which leaves 10 cups left over:

an employee works 22 days per month. if they work an average of 8 1/4 hours per day how many hours do they work per month?

Answers

Answer:

181 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

To find how many hours they work per month multiply the amount of hours they work each day by the amount of days they work in a month:

[tex]22 *8\frac{1}{4} = 181\frac{1}{2}[/tex]

They work [tex]181\frac{1}{2}[/tex] hours per month.

Hope this helps :)

Let H = the amount of hours the employee works per month.

H = 22 • 8_1/4

H = 22 • 33/4

H = 11 • 33/2

H = 363 ÷ 2

H = 181.5 hours per month

To adopt a dog from a animal shelter, you must pay 08$ for vaccinations, 65$ to spray or neuter the dog, and 50$ for a wellness exam by a veterinarian

Answers

Answer:

ok, $65+$50+$8=123

Step-by-step explanation:

Her recipe calls for 120 ounces of salt water to every 10 ounces of seaweed to make one bottle of elixir.She wants to make smaller bottles of her elixir using only 1 ounce of seaweed per bottle.How many ounces of salt water will go into each of the smaller bottles?

Answers

120 divided by 10 is 12 so for every 1 ounce of seaweed there is 12 ounces of salt water. There for the answer is
12 ounces of salt water per 1 small bottle with 1 ounce of seaweed.
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