Find the value of x in the isosceles triangle shown below.

Find The Value Of X In The Isosceles Triangle Shown Below.

Answers

Answer 1

Answer:

B) [tex]x = \sqrt{60}[/tex]

Step-by-step explanation:

1. As you can see from the image, there are two right triangles in the isosceles triangle. The base of each right triangle is 2 (because 4 ÷ 2 = 2), and the hypotenuse is 8.

2. Let's use Pythagorean Theorem to find the height of each right triangle, which will also give us the height of the isosceles triangle: [tex]a^2 + b^2 = c^2[/tex], where a = height, b = base, and c= hypotenuse.

[tex]a^2 + 2^2 = 8^2[/tex] [tex]a^2 + (2*2) = (8*8)[/tex] [tex]a^2 + 4 = 64[/tex] (Simplify both sides of the equation)[tex]a^2 + 4 - 4 = 64 - 4[/tex] (Subtract 4 from both sides)[tex]a^2 = 60[/tex] [tex]\sqrt{a^2} = \sqrt{60}[/tex] (Take square root of both sides[tex]a = \sqrt{60}[/tex]

3. The√(60) is the height of each right triangle, and it's also the height of the isosceles triangle. Therefore, the answer is B) x = √60.


Related Questions

PLZ HELP MEH FOR A BUNCH O POINTS PLLLLLLZZZZZZZZZ I NEED NUMBER 2 BASED ON NUMBER 1!!!!!!

Answers

Answer:

$93.56

Step-by-step explanation:

93.56 / 4 = 23.39

So each person needs to pay $23.39.

PLEASE MARK AS BRAINLIEST!!!!!

Drag and Drop the correct answer into the boxes below.

Answers

Answer:

the first blank is 100

the second is 80

Step-by-step explanation:

Use the table to answer questions 1 and 2.
X
у
1
103
2
105
3
107
4
109
1. The function represented in the table
is linear. How do you know?
2. What would be the 5th term in the
sequence associated with the table?
OUTSIDE

Answers

Answer:

1- The function is linear because 2 is added to each y value to get to the next y value.

2- It would be 111 because 109+2=111

Step-by-step explanation:

Hope this helps:)

Good luck homie U got dis

How do I do this equation for my son 7.32 - 1.909

Answers

the answer is 5.411.

https://youtu.be/MdthGCQfC0o

this is a link to a video about subtracting decimals simply

1. line up your numbers
2. notice how there is no number above the 9? Imagine a 0 there. You cannot subtract 9 from 0 so you would change the next number over to one less than before (2 to a 1) and carry a ten over to the 0 making it worth ten.
3. subtract 10 from 9 (getting 1)
4. subtract 1 from 0
5. you cannot take 3 away from 9 so you must once again carry a ten. Change the 7 to a 6 and change the 3 to a 13, then subtract 13 from 9
6. subtract 6 from 1
7. you should be left with 5,411. you are going to want to carry down the decimal to make it 5.411
8. you've successfully subtracted decimals
Hope this is helpful! Also this is in a step bye step form :)

Help help help help

Answers

Answer:

484

Step-by-step explanation:

First solve [tex]11^{2}[/tex] which equals 121

Then solve [tex]2^{2}[/tex] which equals 4

Then multiply these together to get 121*4 = 484

Answer:

121×4=484

Step-by-step explanation:

please mark me as brainlest

Hello, this is what I’ve got so far, please help me somebody!

Answers

Answer:

6 .... 1

3 ... 1/100

9.... 1/1000

Sketch a graph of the function a(x) = 12 *x+4.
Describe the transformations to the graph of y = x.

Answers

I need help myself lol XD

3x^2/3 - 2x^1/3 - 1 = 0

Answers

Answer:

x=1

Step-by-step explanation:

Question 2 (Multiple Choice Worth 1 points)
(02.04 LC)
Write the equation of a line that goes through point (0, 1) and has a slope of 0.
X= 1
X=0
Y= 0
Y = 1

Answers

Answer:

y = 1

Step-by-step explanation:

Slope of 0 is a horizontal line

The horizontal line through (0, 1) is

y = 1

(0,1)m=0

Needing b

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto 1=0(0)+b[/tex]

[tex]\\ \sf\longmapsto b=1[/tex]

Equation of the line

[tex]\\ \sf\longmapsto y=0x+1[/tex]

[tex]\\ \sf\longmapsto y=1[/tex]

a potter uses 3/5 of a pount of clay to make a bowl. how many bowls could the potter make with 10 pounds of clay?
a.) 6
b.)8
c.)16
d.)17

Answers

Answer:

he could make 16 bowls

Step-by-step explanation:

Describe a situation that could be modeled with the ratio 4:1. Your answer:

Answers

An example of the ratio 4:1 could be, in a school for every 4 girls there is 1 boy. Or something similar:)
Vanessa has a little sister that is 4. She buys her little sister 1 Barbie doll. Write the ratio of how old Vanessa little sister is, to her Barbie doll.

solve pls brainliest

Answers

Answer:

The LCD is 56

Step-by-step explanation:

When the numbers are numerically close to each other, you can multiply them together.

7x8=56

the answer to your question is 56.

Sketch the graphs - 2y – 3=x​

Answers

Answer:

this should be correct try mathaway but instead of away make it way. it won't let me say the actual name

a certain number of yams is sufficient to feed 20 students for 12 days for how many days would the same number of yams feed 15 students ​

Answers

Step-by-step explanation:

no of days = (15×12)/20= 9 days

I hope this helps

15 students consume it in = (20×12)÷15

= 16 days

Solve for the value of n.

Answers

Answer:

n=8

Step-by-step explanation:

9n=8n+8

n=8

{vertical angles are equal}

Answer:

n = 8

Step-by-step explanation:

Two angles are vertical angles if they are opposite angles formed by the intersection of two lines. Vertical angles are congruent.

Given that  m < (9n)° and m < (8n + 8)° are vertical angles, then it means that they have the same measure. Therefore, we can solve for the value of n by establishing the following equation:

9n = (8n + 8)

9n = 8n + 8

Subtract 8n from both sides:

9n - 8n = 8n - 8n + 8

n = 8

To double-check whether we came up with the correct value for n, substitute n = 8 into the equation:

9n = (8n + 8)

9(8) = [8(8) + 8]

72 = 64 + 8

72 = 72 (True statement)

Therefore, the correct answer is n = 8.

Please mark my answers as the Brainliest if you find my explanations/solution helpful :)

Karen needs to take her pet kitten, Scooter, to the vet for a checkup. It's hard to get Scooter into his carrying case for the trip to the vet. He never wants to go! Scooter's carrying case has a rectangular front that is 11 inches wide and 9 inches tall. The case is 16 inches long. What is the volume of Scooter's carrying case?

Answers

11 × 9 × 6 = 594

volume = 594 inches^3

Answer:

/////

Step-by-step explanation:

36

A pack of 3 video games costs 128.85 How much is each video game?

Answers

Answer:

$42.95

Step-by-step explanation:

128.85 divided by 3 is 42.95.

each video game costed $42.95

hope this helps

The sum of two numbers is 207. The difference between the two numbers is 11. Find the greater number?

Answers

Answer:

109

Step-by-step explanation:

Let the greater number=x

therefore, the other number=x-11

Since,

     x+x-11=207

 ==>2x-11=207

 ==>2x=218

 ==>x=109

The greater number is 109.

What is Algebra?

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

given:

The sum of two numbers is 207.

The difference between the two numbers is 11.

let the first number be x

and another number be y

then,

x + y =207

x - y = 11

On solving

11 + y + y =207

2y = 196

x = 98

and, y = 207-98= 109

Hence, the larger number be 109.

Learn more about algebra here:

https://brainly.com/question/13715639

#SPJ2

Solve pls brainliest

Answers

Answer:

1.2 is the correct answer

The answer is 1.2. Do u have options so I can check

Number 10 please
Don’t understand it

Answers

Answer:

i don't think the answer is there

Step-by-step explanation:

6[-5 3]

[0. -4]

6[-5(-4) - 3(0)]

6[20 - 0]

6[20]

120

no answer

write the equation in slope intercept form. what are the slope and y-intercept? -5x-12y=11

Answers

Answer:

y= -5/12x - 11/12

Step-by-step explanation:

i dont have any explanation

Answer:

y = -[tex]\frac{5}{12}[/tex]x - [tex]\frac{11}{12}[/tex]; Slope is [tex]-\frac{5}{12}[/tex]; y-intercept is[tex]-\frac{11}{12}[/tex].

Step-by-step explanation:

-5x - 12y = 11. Write the equation.

-12y - 5x + 5x = 5x + 11 Isolate -12y by adding 5x to both sides.

[tex]\frac{-12y}{-12}[/tex] = [tex]\frac{5x}{-12}[/tex] + [tex](\frac{11}{-12})[/tex] Isolate y by dividing both sides by -12.

y = [tex]-\frac{5x}{12} + (- \frac{11}{12})[/tex] Switch the  + to - to eliminate the parenthesis.

y = [tex]-\frac{5}{12}x - \frac{11}{12}[/tex] is now in slope-intercept form.

Slope is [tex]-\frac{5}{12}[/tex]; y-intercept is [tex]-\frac{11}{12}[/tex].

Log 9l-Log13/ Log 245 – 45

Answers

Answer:

The answer is: 1.49

Step-by-step explanation:

i used a calculator.

Hi Means What 62+789​

Answers

62 + 789

= 851

it means that if you have 62 sticks and add 789 sticks, your total number of sticks is 851 sticks.

What is the slope of the line that passes through the points (-10, 0) and (-13, 3)? Write your answer in simplest form.

Answers

Answer:The slope of the line that passes through (-10, 0) and (-13, 3) is "-1".

Given points are:

As we know, the formula,

By substituting the above points, we get

→                

→                

→                

→                

Thus the solution is right.

Step-by-step explanation:

Answer:  The slope of the line that passes through (-10, 0) and (-13, 3) is "-1".

Step-by-step explanation: will u please answer my  last question i posted plzz

A man cycles a distance of 40km.​

Answers

Answer:

he had a good exercise but why did he go for 40 km

Answer: …….

Explanation: …….

12. Graph 3x - 2y < 9

Answers

desmos is a great website for this!

a^3 = 216. What does a equal??

Answers

Answer:

A=6

Step-by-step explanation:

A^3=A*A*A=216

A=6

Answer:

6

Step-by-step explanation:

a³= 216 can be rewritten as:

a · a · a = 6 · 6 · 6

Therefore:

a=6

This is my first time using brainly and I don’t know what the question is telling me to do so please help!
A game show contestant starts
a game by answering two
questions incorrectly. Each
incorrect answer costs the
contestant $600. Use a
product of two integers to
show the point total that
would appear for the
contestant.

Answers

Answer:

Hi well the answer to the question itself is -1200 but I'm not sure abt the "product of two integers" part but this is a great start what I would suggest is try to find out what it is your teacher wants then using the -1200 to get answer - hope I helped

−x−4y+2z=
\,\,-2
−2
-x+3y+2z=
−x+3y+2z=
\,\,-2
−2
x+9y-4z=
x+9y−4z=
\,\,-4
−4

Answers

9514 1404 393

Answer:

  (x, y, z) = (8, 0, 3)

Step-by-step explanation:

Maybe you want to solve the system of equations represented by the augmented matrix ...

  [tex]\left[\begin{array}{ccc|c}-1&-4&2&-2\\-1&3&2&-2\\1&9&-4&-4\end{array}\right][/tex]

Your graphing calculator can provide the solution for you:

  (x, y, z) = (8, 0, 3)

_____

If you want to solve this by hand, it works reasonably well to make a plan based on the values of the coefficients. We notice only the y-coefficient differs in the first two equations, telling us that y=0. This immediately reduces the system to two equations in x and z. The x-coefficients are opposites, so we can easily eliminate x to find z.

You can subtract the first equation from the second to find the value of y.

  (-x +3y +2z) -(-x -4y +2z) = (-2) -(-2)

  7y = 0   ⇒   y = 0

Substituting for y in the first and third equations, you can add those together:

  (-x +2z) +(x -4z) = (-2) +(-4)

  -2z = -6   ⇒   z = 3

Substituting into the last equation gives ...

  x -4(3) = -4   ⇒   x = 8

Then the solution is (x, y, z) = (8, 0, 3).

Which of the following expressions are equivalent to
x + y + z?

Choose all answers that apply:
A: z + y + x
B: x + z - y
C: None of the above

Answers

Answer:

A

Step-by-step explanation:

addition is commutative

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