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
Below are the lengths (in minutes) of phone calls made on an 800 line to a business on one day. Fine the five-number summary for
RoseWind [281]

Answer :19

19\

Step-by-step explanation:

3 0
3 years ago
WILL GIVE BRAINLIEST
mash [69]

Answer:

(16,-1)

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Diego said that the answer to the question
spin [16.1K]
What exactly are you asking?
8 0
3 years ago
Find the value of the following expression:<br><br> (2^8 • 5^–5 • 19^0)^–2 • (5^-2/2^3)^4 • 2^28
Maru [420]
The value of the expression is 25
3 0
3 years ago
In the data set shown below, what is the value of the quartiles? {56, 58, 64, 68, 72, 75, 78} A. Q1 = 58; Q2 = 68; Q3 = 73.5 B.
Marysya12 [62]

Answer:

(C) Q1: 55.5 Q2: 110 Q3: 295

Step-by-step explanation:

Given the dataset:

There are 25 items in the dataset.

To find Q2, We divide it into two equal parts and consider the middle term

Therefore: Q2 =110

Q1 = the median of the lower half of the data set.

Q3 = is the median of the upper half of the data set.

In the lower half of the data

Since there are even number of terms,

Median = (55+56)/2=55.5

Therefore: Q1=55.5

In the upper half of the data

Since there are even number of terms,

Median = (239+351)/2=295

Therefore: Q3=295

Q1: 55.5,  Q2: 110,  Q3: 295

The correct option is C.

8 0
2 years ago
Read 2 more answers
Other questions:
  • Which sign makes the statement true?
    14·2 answers
  • Determine,se existir,a inversa da matriz abaixo:<br> A= (1 2)<br> (1 3)
    13·1 answer
  • Estimate round to nearest ten thousand 649,891 - 35,427
    5·1 answer
  • A car leaves Albany, NY, and travels west toward Buffalo, NY. The equation D=280-59t can be used to represent the distance,D, fr
    9·1 answer
  • I believe the answer is 61.67 am I right?
    14·1 answer
  • Gabe rides his bike to school. He rides to school going uphill at 11 miles per hour. He rides home from school going downhill 4
    6·2 answers
  • An angle measuring (870n)° is in standard position. For which value of n will the terminal side fall along the positive portion
    12·2 answers
  • Sam is an engineer . Every week he spends 37 hours writing code and going to meetings
    7·1 answer
  • Jeffrey earns a gross semimonthly salary of $2181.80.
    5·2 answers
  • Please do the following step by step ​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!