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
gavmur [86]
3 years ago
14

The legs of a right triangle measure 3x and 15. If the hypotenuse measures 3x + 3, what is the value of x?

Mathematics
1 answer:
Ivan3 years ago
4 0
The answer is <span>b.12
</span>
According to the Pythagorean theorem the square of the hypotenuse (c) is the sum of the squares of the legs (a and b):
 c² = a² + b²

We have:
a = 3x
b = 15
c = 3x + 3

Now, let's replace these parameters:
c² = a² + b²
(3x + 3)² = (3x)² + 15²
(3x)² + 2 * 3x * 3 + 3² = 9x² + 225
9x² + 18x + 9 = 9x² + 225

Rearrange:
9x² - 9x² + 18x = 225 - 9
18x = 216
x = 216 / 18 = 12
You might be interested in
Describe the following set as either finite or infinite.
serg [7]

Answer:

infinite

Step-by-step explanation:

6 0
3 years ago
Find the value for the side marked below.
KatRina [158]

Answer:

167.7

Step-by-step explanation:

210cos(37)=167.7134571

just type it in a calculator

7 0
3 years ago
Help plz need answer asap
AlladinOne [14]

Answer:

The image that is correct is the one with yellow starting at positive 4 and green at negative 4. The solution is anything less than positive 4.


3 0
3 years ago
Anyone in connections academy algebra 2 or someone else that can help me with some problems? Here is the first: Let f(x)=2x^2+x-
sergiy2304 [10]
F(x)/g(x) = (2x +3)(x -1)/(x -1) = 2x +3 . . . . . x ≠ 1

The domain of (f/g)(x) is all real numbers except 1.

_____
The domain of any rational function necessarilly excludes any values that make the function undefined, that is, that make the denominator zero.
3 0
3 years ago
2(15 + q ) = __ + 2q
Rzqust [24]

Answer:

30

Step-by-step explanation:

use distribution property

7 0
3 years ago
Read 2 more answers
Other questions:
  • When 58,511 is divided by 21, the quotient is 2,786 R ___.<br><br> Numerical Answers Expected!
    5·1 answer
  • In Mr.Ford’s class, 3 out of 25 students are left-handed. Whick of the following is the percent of “lefties” in Mr. Ford’s class
    15·2 answers
  • How do you do this ​
    8·1 answer
  • Use the given degree of confidence and sample data to find a confidence interval for the population standard deviation σ . Assum
    5·1 answer
  • At a particular restaurant, each onion ring has 40 calories and each mozzarella stick has 60 calories. A combination meal with o
    13·1 answer
  • Which division equation is shown by the area model intop?
    10·1 answer
  • Describe the similarities and differences between the percent proportion and the percent equation.
    15·1 answer
  • The perimeter of a rectangular parking lot is 296 m if the width of the parking lot is 65 m , what is its length
    5·2 answers
  • Chandra has 15 feet of ribbon to make bows for 6 teams how much ribbon can she use for each bow if she cuts the ribbon into equa
    11·1 answer
  • Identify the vertex of the function, F(x) =3(x-1)2 + 5.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!