All categories

3 years ago

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

1 answer:

Ivan3 years ago

4 0

The answer is b.12

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

You have 12 different video games. How many different ways can you arrange the games side by side on a shelf? You can arrange t

garik1379 [7]

Answer:

479001600

Step-by-step explanation:

equation: 12!

12!=479001600

7 0

3 years ago

Read 2 more answers

Solve by substitution -4x+y=6 -5x-y=21

inn [45]

Answer:

x=-3, y=-6. (-3, -6).

Step-by-step explanation:

-4x+y=6

-5x-y=21

--------------

-9x=27

x=27/-9

x=-3

-5(-3)-y=21

15-y=21

y=15-21

y=-6

7 0

3 years ago

What is a close but easier numbers to estimate the answer to the problem

borishaifa [10]

You forgot to put the problem but choose answers that will divide evenly

3 0

3 years ago

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros −3 and 5

love history [14]

Answer:

f(x) = x² (2+i)x-15-3i

Step-by-step explanation:

Since the zeros of the equation are -3 and 5+i, hence the factors of the polynomial in x is (x+3) and (x-(5+i))

Multiplying both factors

f(x) = (x+3)(x-(5+i))

f(x) = (x²-(5+i)x+3x -3(5+i))

f(x) = x² - (5+i- 3)x -15-3i

f(x) = x² (2+i)x-15-3i

hence the required polynomial function in x is f(x) = x² (2+i)x-15-3i

7 0

3 years ago

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Determine each segment length in right triangle .

Pani-rosa [81]

The segment length is 14 (square root)2

Given that Triangle ABC is right angle triangle

The vertex marked is B where side AC is the hypotenuse

The side of AC is at Vertex B is 14

The dash segment from vertex B to point D on side AC

Angle BDA is marked right angle .

Angles A and C both marked 45 degrees.

As shown in diagram

Triangle ABC is drawn according to the statement where B is vertex

The side lengths are 14

Now to find Another side length that is x

So , the equation formed is

x*cos45 = 14

x/√2 = 14

x = 14√2

Hence the length of the segment is 14√2

Learn more about Right angle triangle here brainly.com/question/64787

#SPJ1O

5 0

1 year ago