find the value of x in the triangle shown below

Find The Value Of X In The Triangle Shown Below

Answers

Answer 1

Answer:

D

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of thesquares on the other two sides, that is

x² + 8² = 9²

x² + 64 = 81 ( subtract 64 from both sides )

x² = 17 ( take square root of both sides )

x = [tex]\sqrt{17}[/tex]

Answer 2

Answer:

√17 (Option D)

Step-by-step explanation:

This is Right Angled Triangle.

We'll solve this using the Pythagorean Theorem.

Let,

x be BC, where BC is the Perpendicular.

8 be AB, where AB is the Base.

9 be AC, where AC is the Hypotenuse.

We know that,

[tex]{ \longrightarrow \pmb{\qquad \: (AB) {}^{2} +( BC) {}^{2} = (AC) {}^{2} }}[/tex]

[tex]{ \longrightarrow \sf \qquad \: (8) {}^{2} +( x) {}^{2} = (9) {}^{2} } [/tex]

[tex]{ \longrightarrow \sf \qquad \: ( x) {}^{2} = (9) {}^{2} - (8) {}^{2}} [/tex]

[tex]{ \longrightarrow \sf \qquad \: ( x) {}^{2} = 81 - 64} [/tex]

[tex]{ \longrightarrow \sf \qquad \: ( x) {}^{2} = 17} [/tex]

[tex]{ \longrightarrow \it \qquad \pmb {x = \sqrt{17 \: \: } } }[/tex]

Therefore,

The value of x is √17 .
Find The Value Of X In The Triangle Shown Below

Related Questions

help on this please.

Answers

Are you trying to find the blank angle or are you looking for the equivalent of something here is something that might be able to help. I do not know if this answers your questions

Can someone please help me with this?

Answers

Answer:

50

Step-by-step explanation:

If we divide the shape we can get 3 x 10 with equals 30. Then take the remaining which is 2 x 10 and we get 20. Add the two to get 50. The area is 50sq miles.

Hope this helps. pls mark brainliest

hello, please answer the question, please show work

Answers

3/8 is bigger than 1/5

Brainliest available

Simplify

Answers

Answer:

8x^3y^3

Step-by-step explanation:

Thats the answer but the ones with the symbol are up

To simplify this, we must simply power every component within the parentheses by 3

   [tex](2xy)^3=2^3*x^3*y^3 = 8x^3y^3[/tex]

Hope that helps!

Entre los números -4 y 0 cuál es menor

Answers

Answer:

el menor es -4 :) porque entre más izquierda esté el número en la recta menor es (ejemplo en la foto). negativos siempre son menor que positivos :D

what is the slope of the line on the graph need answer ASAP please thank you I'm in k-12​

Answers

The answer is -1 your welcome

Area = 120 units squared
Base = 8 units
Length = ? (Include the units in your answer)

Answers

Answer:

15

Step-by-step explanation:

Okay, so we know that Base*Length=Area, so we just have to divide the area by the base, so the formula here is Area/Base=Length.

That would get us 120/8=Length,

and if we just divide 120 by 8 we get 15, so the length is 15

Write down one prime number that lies between each of the following pairs of numbers: a) 45 and 55 b) 62 and 72​

Answers

hello!

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

Remember, prime numbers have only 2 factors: 1 & themselves.

For example, 5 is a prime number because it's only divisible by 1 and 5 (itself)

Now, write down some primes.

1) between 45 and 55

   - 47

   - it's only divisible by 1 and itself, so it IS prime

2) 62 and 72

67, because it is divisible by 1 and itself only.

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

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Use numerals instead of words. If necessary, use / for the fraction bar(s).

The measure of angle 0 is 7 pie/4. The measure of its reference angle Is _°, and tan 0 is _

Answers

Answer:

-1

Step-by-step explanation:

angle 0: 7pie/4

=7*180/4

=1260/4

=315

hence reference angle(0)= 315

now, tan 0 = tan315

= tan(360-45)

= -tan45

= -1

Solve 12x + 6 > 9x+ 12.
O A. x26
O B. X22
x2
O c. xs 2
O D. x56

Answers

Just in case my image doesn’t upload, you basically just have to solve it like a normal equation. Replace the > sign with an = sign when you solve it so u don’t get confused. Then, when you get the final product, x = 3, then switch the = sign with the > sign again, so the answer is: x > 3

Rewrite without absolute value for the given condition: y=|x−3|+|x+2|−|x−5|, if 3 < x < 5

Answers

Answer:

x>3 but x<5 so x=4

4-3=1

+

4+2=6

-

4-5=-1

but |-1|=1

so

1+6-1=6

The circumference of a circle is 43.96 yards. What is the circle's radius?

Answers

Answer:

Step-by-step explanation:

Radius = circumference / 2π

= 43.96 / 2π

= 7.00 yards to the nearest hundredth.

CO
1 If the area of a rectangle is 306 square centimeters (cm”) and one dimension is 6
centimeters, what is the measurement of the other dimension? Use labeled sketches
and equations to model and solve this problem.

Answers

The other dimension is the width of the rectangle

The other dimension is 51 centimeters

How to determine the length of the other dimension?

The given parameters are:

Area = 306 square centimeters

Length = 6 centimeters

The area of the rectangle is calculated as:

Area = Length * Width

This gives

306 = 6 * Width

Divide both sides by 6

51 = Width

Hence, the other dimension is 51 centimeters

Read more about areas at:

https://brainly.com/question/24487155

Explain why 10 to the zero power equals 1

Answers

Answer:

Because any number to the power of zero will be one.

The left and right y-axes are in opposite directions because:.

Answers

A high proportion of one allele of a gene indicates a low proportion of the other.

Write the first 8 triangular numbers

Answers

Answer:

1, 3, 6, 10, 15, 21, 28, 36. Notice that the first 2 terms are odd, followed by another 2 even terms, and then another 2 odd terms, before 2 even terms again.

100 point to the first correct answer

Given the discrete random variable X: What is the probability distribution of X if X ~B(2, 5/17)?

Answers

Answer:

X ~ B(n, p)

Given: X ~ B(2, 5/17)

⇒  n = 2

⇒  p = 5/17

Binomial distribution formula:

[tex]\sf P(X = x) = nC_x (1-p)^{(n-x)}p^x[/tex]

As n = 2, calculate P(X = 0), P(X = 1) and P(X = 2):

[tex]\sf P(X = 0) = 2C0 (\frac{12}{17})^{(2-0)}(\frac{5}{17})^0=\dfrac{144}{289}}[/tex]

[tex]\sf P(X = 1) = 2C1 (\frac{12}{17})^{(2-1)}(\frac{5}{17})^1=\dfrac{120}{289}}[/tex]

[tex]\sf P(X = 2) = 2C2 (\frac{12}{17})^{(2-2)}(\frac{5}{17})^2=\dfrac{25}{289}}[/tex]

**Probability Distribution Table attached**

Use the Distributive Property to simplify the following expression. a: 4(x+2) b; -5(9+x) c: 7(x-3)

Type down when answering how you got the answers​

Answers

hello!

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

The Distributive Property states the following:-

[tex]\longrightarrow\sf{a(b+c)=ab+ac[/tex]

Where

[tex]\longrightarrow\sf{a,~b,~and~c~can~be~either~constants~or~variables}[/tex]

Now, let's use this property to simplify our expressions.

The first one is

[tex]\bigstar{\underline{\boxed{{4(x+2)}}}[/tex]

Simplify by distributing 4:-

[tex]\longrightarrow\sf{4~times~x~+4~times~2}[/tex]

Add the products:-

[tex]\longrightarrow\sf{4x+8}[/tex]

[tex]\rule{250}{2}[/tex]

Solve the next one:-

[tex]\bigstar{\underline{\boxed{\sf{-5(9+x)}}}[/tex]

Distribute -5 & add the products:-

[tex]\longrightarrow\sf{-45-5x}[/tex]

[tex]\rule{250}{2}[/tex]

Solve the last one:-

[tex]\bigstar{\underline{\boxed{7(x-3)}}[/tex]

Distribute 7:-

[tex]\longrightarrow\sf{7x-21}[/tex]

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

note:-

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

Evaluate each expression.
a. 1/2(5+13)-4.5
b.(5+11)-(24-15)•(3)
c.6²+3•7-9÷3​

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♫[/tex]

Let's solve ~

Expression 1

[tex]\qquad \sf  \dashrightarrow \: \frac{1}{2} (5 + 13) - 4.5[/tex]

[tex]\qquad \sf  \dashrightarrow \: \frac{1}{2} (18) - 4.5[/tex]

[tex]\qquad \sf  \dashrightarrow \: 9 - 4.5[/tex]

[tex]\qquad \sf  \dashrightarrow \:4.5[/tex]

Expression 2

[tex]\qquad \sf  \dashrightarrow \:(5 + 11) - (24 - 15) \times 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:16 - (9 \times 3)[/tex]

[tex]\qquad \sf  \dashrightarrow \:16 - 27[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 11[/tex]

Expression 3

[tex]\qquad \sf  \dashrightarrow \: {6}^{2} + (3 \times 7) - (9 \div 3)[/tex]

[tex]\qquad \sf  \dashrightarrow \:36 + 21 - 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:57 - 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:54[/tex]

Find the sixth term of the geometric sequence when a4=−8 and r=0.5
A. 4
B. 2
C. -4
D. -2

Answers

Answer:

D

Step-by-step explanation:

to find a term in the sequence multiply the previous term by r , then

a₄ = - 8 , so

a₅ = - 8 × 0.5 = - 4

a₆ = - 4 × 0.5 = - 2

The sixth term of the sequence will be negative 2. Then the correct option is D.

What is a geometric sequence?

Let a₁ be the first term and r be the common ratio.

Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The fourth term (a₄) is negative 8 and the common ratio is 0.5.

Then the sixth term will be

For n = 5, we have

a₅ = a₁ · (r)⁵⁻¹

a₅ = a₁ · (r)⁴

a₅ = a₁ · r³ · r

a₅ = a₄ · r

a₅ = -8 · 0.5

a₅ = -4

Then the sixth term of the sequence will be

a₆ = a₁ · (r)⁶⁻¹

a₆ = a₁ · (r)⁵

a₆ = a₁ · r⁴ · r

a₆ = a₅ · r

a₆ = -4 · 0.5

a₆ = -2

The sixth term of the sequence will be negative 2.

Then the correct option is D.

More about the geometric sequence link is given below.

https://brainly.com/question/11266123

#SPJ2

how to multiply and divide decimals with whole numbers

Answers

If this helps: 10 x .5 would be the same as 50% of 10. Also: 40 x .12 would be the same as 12% of 40.

Is (-4, -1) a solution to this system of equations?

y = 5/2x + 9
y = 1/2x + 1

Yes or no

Answers

Answer:

yes(only if the x is being multiplied to 5/2 and 1/2 respectively. If its a part of the denominator, then no)

Step-by-step explanation:

please slove

10^3⋅10^4/10^5

Answers

Answer:

100

Step-by-step explanation:

10^3= 10x10x10= 1000

10^4= 10x10x10x10= 10000

10^5= 10x10x10x10x10= 100000

( the quickest way to sove this is by add 0 behind the one, whatever the exponent is, thats how many zeroes there abre going to be.

ex: 10^3 theres 3 exponents so theres going to be 3 zeroes behind the one

step 2 solve

1000x10000/100000= 100

Answer:

10^2

Step-by-step explanation:

10^3⋅10^4/10^5

add the exponents when multiplying

10^7/10^5

subtract the exponents when dividing

10^2

Find the perimeter and area of a regular hexagon with side lengths of 8 and an apothem of 9.

Answers

The perimeter and area of a regular hexagon with side length of 8 and apothem of 9 are 48 units and 216 units² respectively.

What is a regular hexagon?

A regular hexagon is a polygon with 6 sides and the angles are congruent.

The perimeter of the hexagon is the sum of the whole sides. Therefore,

side length = 8 units

apothem = 9 units

perimeter = 8 × 6 = 48 cm

The area of the hexagon can be calculated as follows:

area = 1 / 2 pa

where

p  =perimeter

a = apothem

Therefore,

area = 1  / 2 × 48 × 9

area = 432 / 2

area = 216 units²

learn more on hexagon here: https://brainly.com/question/15392522

Express 6 m as a percentage of 16 m.

Answers

Answer:

37.5%

Step-by-step explanation:

the percentage is calculated as a fraction of the quantities multiplied by 100% , that is

[tex]\frac{6}{16}[/tex] × 100% = 0.375 × 100% = 37.5%

Answer:

37.5%

Step-by-step explanation:

6/16×100

37.5%

brainiest please

The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5:2 but, after Jacky gave 15 dolls to Peter, they have an equal number of dolls. How many dolls did they have altogether?​

Answers

Answer:

70 dolls

Step-by-step explanation:

Hello!

The ratio is 5:2, which are division of  a whole. They can be represented as 5x and 2x.

Jacky has 5x dolls, and Peter has 2x dolls. They were equal after subtracting 15 dolls from 5x and adding them to 2x.

Equation:

5x - 15 = 2x + 15

Solve:

5x - 15 = 2x + 155x - 30 = 2x5x = 2x + 303x = 30x = 10

So Jacky has 5(10) dolls, or 50 dolls, and Peter has 2(10) or 20 dolls.

The total sum is 70 dolls.

What does n equal? Please help!

Answers

Answer:

x=0

Step-by-step explanation:

because you divide by x^12

x^n=x^0

x=0

4) What % of 60 is 12?

Answers

[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{ }{ \bf { \textcolor{orange}{ }{ \bf{ \textcolor{cyan}{mathematics }}}}}}}[/tex]

12×60%=

[tex] \bf \textcolor{green}{ \underbrace{7.2}}[/tex]

xLasersx✨

Answer:

20%

Step-by-step explanation:

100% = 60

?% = 12

[tex]\frac{12}{60}=\frac{x}{100} < ==cross\ multiply \\\\60x=1200 < ==divide\ both\ sides\ by\ 60\\\\/60 /60\\\\x = 20\% < ==final\ answer[/tex]

Therefore, 20% of 60 = 12

Check your answer:

20/100 = 0.2

0.2 * 60 = 12

Hope this helps!

Finding the Range
Find the range of the following set of numbers: 3, 16, 4,
17, 42, 12, 12, 16, 92, 14, 5.
After you find the range, explain how you came to that
calculation in the box below.

Answers

Answer:

89

Step-by-step explanation:

92 - 3 =89

subtract smallest from largest

Carter is considering two different jobs. Job A has a starting bonus of $300 and pays $12.50 an hour Job B has starting a bonus and pay that are represented by the equation
y=10z + 400, where y is the total amount earned and I is the number of hours worked Select all statements that are true
Job B has a larger starting bonus than Job A.
Job A pays more per hour than Job B.
Job A has a larger starting bonus than Job B.
Job B pays more per hour than Job A.

Answers

Answer:

Step-by-step explanation:

Job B has a larger starting bonus than Job A: true,
Job B pays 400, A pays 300.

Job A pays more per hour than Job B: true,
Job A pays 12.50 per hour, Job B pays 10 per hour.

Other Questions
1. Why did a Cold War develop between the Soviet Union and United States? 2. Why was it called the "Cold War"? how are you'll doing today! True or False: Motorcyclists have half of the rights and responsibilities on public roadways as automobiledrivers Cover the entire area except for today's date and year April, 1st, Monday To convince your readers that cats make better pets than dogs, what evidence should you use? If, while examining a human karyotype, it is observed that there are 22 paired chromosomes and two chromosomes that are not the same size, this would most likely be due to. For education among all kinds of men always has had, andalways will have, an element of danger and revolution, ofdissatisfaction and discontent.-W. E. B. Du BoisHow did Du Bois most significantly act on the concerns expressed in thisstatement?A. By starting and encouraging African American-owned businessesB. By encouraging businesses to train and hire African AmericansC. By organizing educational opportunities for African AmericansD. By publishing articles about the mistreatment of AfricanAmericans Are all black holes the same size? Explain three less than the product of two and a number y can someone plssss translate that into a algebraic expressionplsss ill give you brainiac What are Katniss motives for assassinating Coin? Does she do it to avenge Prim? To save lives? For the greater good of the country? People under age 18 who do not have the right to vote. This is an example of the lack of _____ empowerment. Math I need help I with it if you can help me out Are the expressions shown below equivalent?(3x+9)(x+2)(3x + 6)(x+3)Justify/Explain your answer in two different ways.(Algebra 1) Please help! THIS IS MY LAST QUESTION PLEASE HELP ME Zion Sun Chairs manufactures 3,575 beach chairs each month. Determine the minimum sales priceZion Sun Chairs must sell each chair for to break even if the total annual fixed costs are $17,363.50and the variable cost per chair is $52.17.O $57.03O $64.50O $81.25O $79.65 Quit1. Which of the following is MOST likely a sign of neglect?A.Harsh words from a caregiverB.Bank account recently movedC. Delayed medical careD. Torn, bloody undergarment What is the constant term in the expression 8xy + 9x2 y 5x 2? 5 2 8 9 a student gets 11 out of 16 problems correct on a homework assignment. what percent of the assignment did the student get corret?. thanks if someone answers this How did independence change South Africa?After independence, South Africa was free to create its own laws. After independence, South Africa adopted the constitution of Britain.After independence, South Africa had social and political equality.After independence, South Africa fought a war against the British commonwealth. The collection discussed in the presentation on the design collection inspiration board was inspiredby the artwork of which of the following artists?Vincent Van GoghO Claude MonetO Pablo PicassoGustav Klimt Which stage of dieing is a defense mechanism that happens and my recur