1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vlad1618 [11]
2 years ago
6

Homework 1:Pythagorean Theorem and it’s Converse Find The Value of X

Mathematics
2 answers:
Viefleur [7K]2 years ago
3 0

The figure gives a dimension for the hypotenuse of 19

the height is given as 17, using the Pythagorean theorem we can find the base of the triangle:

19^2 = 17^2 + base^2

Simplify:

361 = 289 + base^2

Subtract 289 from both sides:

72 = base^2

Take the square root of both sides:

Base = 8.49 Round to 8.5

There are two identical triangles on each sides, so 8.5 x 2 = 17

The length of the two triangle bases is 17

The total base of the object is 31, so the length of the rectangular part in the middle would be 31 - 17 = 14

And X would be the same length as the bottom rectangle.

Therefore x = 14

kvasek [131]2 years ago
3 0

Answer:

x = 14

Step-by-step explanation:

Inside the trapezoid, there are two right triangles, with a hypotenuse of 19 and a leg of 17. The other leg can be computed with the help of the pythagorean theorem as follows:

{c}^{2}  =  {a}^{2}  +  {b}^{2}  \\  {19}^{2}  =  {17}^{2}  +  {b}^{2}  \\ 361 = 289 +  {b}^{2}  \\ 361 - 289 =  {b}^{2}  \\ 72 =  {b}^{2}  \\  \sqrt{72}  =  {b}^{2}  \\ 8.5 =  b

Now, we can calculate the value of x, as follow;

8.5 + x + 8.5 = 31

17 + x = 31

x = 31 - 17

x = 14

You might be interested in
Write 3/100 as a decimal​
Vlada [557]

Answer:

0.03

Step-by-step explanation:

There are two 0s so it is 0.03

7 0
3 years ago
What is the slope of a line that is perpendicular to the line y = 8x + 5? −8 8
Snowcat [4.5K]

Answer:

y = 7x + 4? - 7 7

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The graph shown below expresses a radical function that can be written in the form f(x)= a(x + k)^1/n +C. What does the graph te
MAXImum [283]

Answer:

  C.  <em>c</em> is less than zero

Step-by-step explanation:

The parent radical function y=x^(1/n) has its point of inflection at the origin. The graph shows that point of inflection has been translated left and down.

<h3>Function transformation</h3>

The transformation of the parent function y=x^(1/n) into the function ...

  f(x) = a(x +k)^(1/n) +c

represents the following transformations:

  • vertical scaling by a factor of 'a'
  • left shift by k units
  • up shift by c units

<h3>Application</h3>

The location of the inflection point at (-3, -4) indicates it has been shifted left 3 units, and down 4 units. In the transformed function equation, this means ...

  • k = 3
  • c = -4

The graph says the value of c is less than zero.

__

<em>Additional comment</em>

Apparently, the value of 'a' is 2, and the value of n is 3. The equation of the graph seems to be ...

  f(x) = 2(x +3)^(1/3) -4

8 0
1 year ago
Https://allmylinks.com/zeoathiras<br><br> I’m bored. Owo
Savatey [412]

Answer:

Yeah same here

Step-by-step explanation:

8 0
2 years ago
A driver travels 288 miles in 6 hours. What is the driver’s speed, in miles per hour? Is it 48? I got 48
Dafna11 [192]

Answer:

48

Step-by-step explanation:

288 divided by 6 is 48 and how you get mph is todal miles in 1 hr

7 0
2 years ago
Other questions:
  • If Adam orders a book from store X how much will he owe to the nearest cent ?
    15·2 answers
  • To finance a bridge costing $94,500, the state contributed twice as much as the county and the county contributed twice as much
    10·1 answer
  • Maria buys 8 1/3 pounds of beef to make tacos for a party. She uses 5/9 pound of beef for a each taco. How many tacos can Maria
    12·1 answer
  • Multiple the following:
    11·2 answers
  • Which figure is not a polygon? A. Figure A B. Figure B C. Figure C D. Figure D
    15·2 answers
  • Simon draws a rectangle with two sides that are 2 inches long and two sides that are 3 inches long. Chaz draws a figure with the
    12·1 answer
  • Vivian is getting a pet snake. She is choosing between the ball python and the corn snake. the ball python is 4 1/2 ft long and
    10·1 answer
  • 2/3x=10 thankyou for helping me
    8·2 answers
  • Factor the expression: 5x^3 + 10x^2 + 15x
    8·1 answer
  • PLZZZZZZZZZZZZZZZZZZ HEEELLLLLPPPPPPP <br> WIIILLLL GIIVE BRAIINLIESTTT
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!