All categories

3 years ago

Point K is on line segment JL. Given KL = 2x – 2, JL = 4x + 9, and

Mathematics

1 answer:

sergeinik [125]3 years ago

7 0

Answer:

JL = 21

Step-by-step explanation:

Given that K is on line segment JL, therefore:

KL + JK = JL (according to segment addition postulate)

KL = 2x - 2

JK = 5x + 2

JL = 4x + 9

Thus:

$(2x - 2) + (5x + 2) = (4x + 9)$

Solve for x

$2x - 2 + 5x + 2 = 4x + 9$

$2x +5x - 2 + 2 = 4x + 9$

$7x = 4x + 9$

Subtract 4x from both sides

$7x - 4x = 4x + 9 - 4x$

$3x = 9$

Divide both sides by 3

$\frac{3x}{3} = \frac{9}{3}$

$x = 3$

Find the numerical length of JL

$JL = 4x + 9$

Plug in the value of x

$JL = 4(3) + 9 = 12 + 9 = 21$

You might be interested in

carmen rides her bicycle at a constant rate to the market. when she rides her bicycle back home along the same route, she bikes

sergeinik [125]

The answer is 28.
Check: 28-12= 16
1/4 of 16= 4
3/4 of 16= 12
so Carmen takes 3/4 more time of the trip to the market when she return s home.

7 0

3 years ago

Find the area of the figure.

mel-nik [20]

Answer:

192+128+112+36=468 not really sure if this is the answer

4 0

3 years ago

Read 2 more answers

PLEASE HELP I REALLY NEED HELP

Neko [114]

Answer:

Step-by-step explanation:

perimeter of B = 21

divide by 3 to get each side: 21/3 = 7 = Y

perimeter of hexagon is 50. subtract 2Y: 50 - 14 = 36

divide 36 by 4 to find X = 9

add X + Y

7 0

3 years ago

Someone pls help! <br> write the expression in radical form. 2 4/5

kipiarov [429]

Answer:

$\sqrt[5]{2^4}$

Step-by-step explanation:

Maybe you want 2^(4/5) in radical form.

The denominator of the fractional power is the index of the root. Either the inside or the outside can be raised to the power of the numerator.

$2^{\frac{4}{5}}=\boxed{\sqrt[5]{2^4}=(\sqrt[5]{2})^4}$

In many cases, it is preferred to keep the power inside the radical symbol.

7 0

3 years ago

I do not know this answer

nexus9112 [7]

The answer is (3, -5)

3 0

2 years ago

Read 2 more answers