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
Radda [10]
3 years ago
10

find x. assume that segments that appear tangent are tangent. please help need answer and how to do it.

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
3 0
Triangle ABC is a right triangle, meaning we can use the Pythagorean Theorem to find x.
The formula for the Pythagorean Theorem is:
a =  \sqrt{ {b}^{2}  +  {c}^{2} }
where a is the hypotenuse, and b and c are the legs.
In this problem, we have the vertical leg as 16, the horizontal leg as x, and the hypotenuse as 20. Therefore, we can say that
a = 20 \\ b = 16 \\ c = x
Therefore, we can plug into the formula to find x:a =  \sqrt{ {b}^{2}  +  {x}^{2} }  \\  {a}^{2}  =  { \sqrt{ {b}^{2}  +  {x}^{2} } }^{2}  \\  {a}^{2}  =  {b}^{2}  +  {x}^{2}  \\  {a}^{2}  -  {b}^{2}  =  {x}^{2}
We first change the variable c to x and square both sides of the equation. Then we subtract b^2 from both sides.
{x}^{2}  =  {a}^{2}  -  {b}^{2}  \\  \sqrt{ {x}^{2} }  =  \sqrt{ {a}^{2}  -  {b}^{2} }  \\ x =  \sqrt{ {a}^{2} -  {b}^{2}  }
We square root each side to find the variable answer for x. Then we plug in the numbers:x =  \sqrt{ {(20)}^{2} -  {(16)}^{2}  }  \\ x =  \sqrt{400 - 256}  \\ x =  \sqrt{144}  \\ x = 12
We find that x = 12. The answer is A. 12.
You might be interested in
What is the product of 9,028 x 100,000 written in expanded form​
mote1985 [20]

Answer:

902,800,000

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A) Se, com 10 quilogramas de laranja, é possível fazer 6 litros de suco,
julia-pushkina [17]

Answer:

tcyfcfvfvyfvufvtuvyrvyrv tv tvgcrvajYvu

Step-by-step explanation:

IDEONKNOEWHIARTUEITIKIONGABOUTI

3 0
2 years ago
Given two dice, what is the probability of rolling a four on the second die, given that you already rolled a four on the first d
Sholpan [36]

Answer:   1/6

Reason:

There's 1 side labeled "4" out of 6 sides total. So that's where the 1/6 comes from.

The "given that you already rolled a four on the first die" is unneeded info in my opinion, because each die is separate or independent from one another.

8 0
2 years ago
Give an example question ( use words and numbers)
Ymorist [56]
A 2 - - 7 = 9
b - 3 - - 4 = 1
c - 5 - 6 = - 11
d - 3 - - 5 = 2
8 0
3 years ago
PLEASE HELP.... The Question is .. Which equation best represents the graph shown below. Explain in detail how you arrived at yo
atroni [7]

The answer is D. y = 1/2(x+2)^2 -3

Step-by-step explanation:

I just put each answer choice into a graphing calculator and chose the one that was equivalent, D. came out to be right  

8 0
3 years ago
Other questions:
  • Graph the set of points which model is most appropriate for the set
    12·1 answer
  • According to a report for veterinarians in the United States, 36.5 percent of households in the United States own dogs and 30.4
    7·1 answer
  • Could you please name the place value to which each number was rounded.3.695 to 4
    14·1 answer
  • What is the equation in slope-intercept from of the line that passes through the points (-4,47) and (2,-16
    10·1 answer
  • eden caught 14 fish and then ate some. write an expression to represent the number of fish eden has left.
    10·1 answer
  • What is the solution of the following one-step equation?
    8·1 answer
  • What's is an equation of the line that passes through the point(-3,-1) and is perpendicular to the line x-2y=6
    12·1 answer
  • Find the value of y...​
    13·1 answer
  • 32 minus what equals = 67
    14·1 answer
  • Simplify the product.<br> (2+ V6) (2-16)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!