Mathematics College

Pythagorean theorem and Converse; find the value of x.

Answers

Answer 1

Answer:

x = 12.206555

Step-by-step explanation:

10^2 + 7^2 = 149

Sqrt(149) = 12.206555 = x

x ≈ 12.2, 12

Answer 2

Therefore, the value of the hypotenuse [tex]x[/tex] is [tex]12[/tex].

What is the pythagorean theorem?

The Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.

Here given that,

[tex]B=7,P=10[/tex]

As we know,

[tex]H^2=B^2+P^2[/tex]

Substitute the given values in the formula is

[tex]x^2=(7)^2+(10)^2\\\\x^2=49+100\\\\x^2=149\\\\x=\sqrt{149}\\\\x=12[/tex]

Hence, the value of the [tex]x[/tex] is [tex]12[/tex].

To know more about the Pythagorean theorem

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Related Questions

Question 6 of 23
What is the slope-intercept equation of the line below?

Answers

i think its B , because if you connect the TWO dots forming a triangle its 3 up and 4 to the right making 3/4 as the slope and the Y intercept is 1 so y=3/4x +1

Yesterday there were 40 problems assigned for math homework. Corey did 10% of the problems
incorrectly. How many did he get wrong?

Answers

Answer:

Step-by-step explanation:

The answer is 4 questions.

The 10% of 40 is 10×(40/100)

= 400/100

Between which two consecutive integers is each number located on a number line?
7.81

Answers

Answer:

7;8

Step-by-step explanation:

7 < 7.81 < 8

in Enter a number into each box to create
an equation that has exactly no real solution.
3(2x+5)-X =

2) Enter a number into
each box to create an
equation that has exactly one real solution.
19x -(5x+9)+7=

Answers

Answer: 5X+15

The first one is

The second one is 2(7X+8)

The graph of a function is shown below. Which value is not a domain of the function ?
A.)-8
B.)-7
C.)3
D.) 8

Answers

C to get a new phone and then I’m going to

Pls answer and show work!!
Marcos can eat 9 redhots in 15
seconds. At this rate, how
many red hots can he eat in 90
seconds?

Answers

Answer:

Step-by-step explanation:

90 divided by 15 is 6

9 times 6 is 54

Mark me as brainliest if this helps!

Answer - 54 red hots

Step-By-Step Explanation

9 divided by 15 = 6

9 x 6 = 54

Please try, I’ll give Brainliest, and 70 points to the one who answers this
It’s due tomorrow so answers ASAP

Answers

What’s the question?

determine the solution using substitution y=3/2x-6 2y=7-4x

Answers

Answer:

x = 19/7 , y= -27/14

Step-by-step explanation:

(19/7, -27/14) x= 19/7 y=-27/14

(3/8+2/3)+1/3 what would it be

Answers

Answer:

1.375 or 1/38

Step-by-step explanation:

(3/8+2/3)+1/3

(1.04166666667)+1/3

1.375 or 1 3/8

The slope of a line is – 3, and a point on the line is (4, -1).
What is the equation of the line expressed in slope-intercept form?

Answers

Answer:x=6

Step-by-step explanation:

A grab-bag contains 30 packages worth $.65 each, 10 packages $.60 cents each, and 15 packages worth $.30 each. How much should the game owner charge to make it a fair game?

Answers

Answer:

$0.40

I had the same question and it was $0.40

Answer:

$0.55

Got it on the test, hope this helps :)

Which list shows the runners in order by their completion times from fastest to slowest

Answers

Answer:

answer is D

Step-by-step explanation:

12+1/2=12.5 12+2/5=12.4

How can the product of 5 and 0.3 be determined using this number line? Number line from 0 to 2.0 with tick marks at every tenth. An arrow goes from 0 to 0.3. Enter your answers in the boxes. Make_____ jumps that are each_____unit long. You end at______ , which is the product of 5 and 0.3.

Answers

Answer:

5 0.3 1.5

Step-by-step explanation:

you count by 3

To determine the product of 5 and 0.3 using the number line described, make 5 jumps that are each 0.3 units long, you end up at 1.5.

Since the distance between each consecutive tick marks is 0.3 ; we only need to jump 5 times starting from the 0 towards the right.

Hence, jumping five times towards the right by a distance of 0.3 each time gives a value of 1.5 on the final or end point which is also the product of 0.3 × 5

Learn more :https://brainly.com/question/18112348

If 2(6 + 3x) + 1 = - 5 + 3(x - 1), what is the value of x?

Answers

Answer: x = -7

Step-by-step explanation:

2(6 + 3x) + 1 = - 5 + 3(x - 1)

(2) (6) + (2) (3x) + 1 = -5 + (3) (x) + (3) (-1)

12 + 6x + 1 = - 5 + 3x + - 1

( 6x ) + ( 12 - 1 ) = ( 3x ) + ( -5 + -3 )

6x + 13 = 3x - 8

6x + 13 - 3x = 3x - 8 - 3x

3x + 13 = -8

3x + 13 - 13 = -8 - 13

3x = -21

3x/3 -21/3

X = -7

12+6x+1= -5+3x-3
3x= -21
x= -7

Find the area of the figure help pls

Answers

Answer:

jdhqowbdwhwlehwhwwkdk

Can someone teach me how to do this pleasseeee!

Answers

so the equation is 5-x3
x^3=x*x*x
so you have x=-2
That means y=5-(-2*-2*-2)
y=5-(-8) which gives y=13
Do this for every x and get the y

Answer:

y's go

13, 6, 5, 4, -3

Step-by-step explanation:

well so you have the equation y = 5 - x^3

you are given the x for all of them

y = 5 - (-2)^3

5 - (-8) = 13

y = 5 - 0^3

5 - 0 = 5

y = 5 - 1^3

5 - 1 = 4

y = 5 - 2^3

5 - 8 = -3

7 (4 1/3) using distributive property

Answers

Answer:

so 7*4 is 28 and 7*1/3 is 2 an 1/3 so it would be 30 and 1/3

Step-by-step explanation:

The price of an item has been reduced by
45%
. The original price was
$15

Answers

Answer:

8.25

Step-by-step explanation:

15*.45=6.75

15-6.75=8.25

Answer:

Step-by-step explanation:

15x45%= $6.75

Solve for x, round to the nearest thousandth.

Answers

Answer:

Step-by-step explanation:

hope this helps

in a box of chocolates 1/4 Are white chocolates, 5/8 Are dark and the rest are brown chocolates. What fraction of the chocolates are brown.

Answers

Answer:

This is your answer ☺️☺️☺️

Which of the following statements are equivalent?
x - y = 2 and x = y + 2

Answers

I’m not sure I understand the question. The equations you posted are equivalent. To take x - y = 2 to x = y + 2, you add y to both sides of the equation.

I’m happy to answer more if you let me know in the comments.

3x = -12 what is the answer to that?

SHOW UR WORK

Answers

You would divide -12 by 3 and get -4

Answer:

-4

Step-by-step explanation:

x=− 3 /12

x=-4

13 points.First Come First Serve!!!!

Answers

(=0w0=) Little one, welcome! Aaliyah!

geometry

please help!!

picture included

Answers

Answer:

x = 12

Step-by-step explanation:

Acvording to the intersecting chord theorem, the products of the line segments formed are equal to each other.

Therefore:

5*x = 10*6

5x = 60

Divide both sides by 5

5x/5 = 60/5

x = 12

thirty percent of all seventh graders own a bracelet. explain whether the sample closely estimates the percentage of seventh graders who own a bracelet.

30 seventh graders, 3 own a bracelet

Answers

it doesn’t. if there were 30 7th graders and 30% owned a bracelet that would mean 9 own a bracelet.

The sample of 3 seventh graders who own a bracelet out of 30 seventh graders does not closely estimate the thirty percent of all seventh graders owning bracelets.

What is a percentage?

Percentages are fractions where the denominator is 100.

We have,

Number of seven grade students = 30

Number of students who own a bracelet = 3

The percentage of seven grade student who owns a bracelet:

= (3 / 30) x 100

= (1/10) x 100

= 10 %

This means that 10% of seven grade student owns a bracelet.

Thus, the sample does not closely estimate the percentage of seventh graders who owns bracelets.

Learn more about percentages here:

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Triangle ABC is similar to triangle FGH.
H
А
6 cm
B
12.5 cm
+
9 cm
5 c
15 cm
с
F
What is the value of x in centimeters?

Answers

Answer:

i can't understand the question but if you put a link I can figure it out

What is the volume?

Answers

Answer: 108 cm^3

Step-by-step explanation:

2 x 5 x 8 = 80

7 x 2 x 2 = 28

80 + 28 = 108

select THREE expressions that are equivalent to 6 x + 1 − ( 3 x − 1 )

Answers

Answer:

3x+2 is your answer

Step-by-step explanation:

6 x + 1 − ( 3 x − 1 )

6x+1-3x+1

3x+2

Answer:

3x + 2

Step-by-step explanation:

Distribute

6 + 1 − 3 + 1

Add the numbers

6 + 2 − 3

Combine like terms

3x + 2

GEOMETRY!!! Will give brainliest

Answers

I think it’s square because there is a cross section on the two sides of the square that are parallel to each other :)

The cross section is a triangle

Aldo runs 4 miles in 30 minutes. At the same rate, how many miles would he run in 48 minutes?

HELP ANSWER FAST PLEASE

Answers

Answer:

miles/time = miles/time

miles/48 min = 4 mi/30 minmiles = 48(2/15)

miles = 96/15

miles = 6.4 miles

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

Step-by-step explanation:

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