find the value of x of given figure and solve this question step by step plzz help question number D
Answers
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
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
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
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!
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!
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
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.
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)
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:
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
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.
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:
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
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!
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
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
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
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
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.
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
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:
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.
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:
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
12 ounces of salt water per 1 small bottle with 1 ounce of seaweed.
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
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
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.
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
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]
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:
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]