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2 years ago

Please help!!!!!!!!!!!!!!!

Mathematics

1 answer:

Sedaia [141]2 years ago

6 0

Step-by-step explanation:

$\triangle{ABC}$ is similar to $\triangle{ADE}$ so we can write the ratio

$\dfrac{x}{6+4} = \dfrac{2}{6}$

Solving for x, we get

$x = \left(\dfrac{2}{6}\right)(10) = \dfrac{10}{3}$

You might be interested in

Find the slope of the line that passes through the points (2.1) and (-1.-1).

sp2606 [1]

Answer: The slope is $\frac{2}{3}$

Step-by-step explanation:

The slope can be calculated with the following formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Then, knowing that the line passes through the points (2,1) and (-1,-1), we can substitute the coordinates into the formula.

In this case:

$y_2=-1\\y_1=1\\x_2=-1\\x_1=2$

Therefore, the slope of the line that passes through the points (2,1) and (-1,-1) is:

$m=\frac{-1-1}{-1-2}\\\\m=\frac{-2}{-3}\\\\m=\frac{2}{3}$

6 0

3 years ago

What is the volume of the cylinder shown below?Use 3.14 as an approximation for π.

mote1985 [20]

Answer:

D. 6,358 in³

Step-by-step explanation:

7 0

1 year ago

Read 2 more answers

Please help!! <br><br> Take a factor out of the square root:

Doss [256]

Answer:

2a times the sq root of 2a or 2a (2a)**1/2

Step-by-step explanation:

(8a**3)**1/2 =

((2**2 * 2) (a**2) (a))**1/2 then take out and squares

2a (2a)**1/2

or 2a times the sq root of 2a

7 0

2 years ago

Michael Chan leaves a dock in his motorboat and travels at an average speed of 9 mph toward the Isle of Shoals, a small island o

horsena [70]

Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.

<h3>What is the distance?</h3>

Distance is the movement of an object regardless of direction. The distance can be defined as the amount of length an object has covered, regardless of its starting or ending position

We know that r × t = d

r = rate of speed

t = time

d = distance

For the motor boat

9 × t = d = rate × time

For the tour boat

27 × (t - 2) = d = rate × time

When they both cover the same distance in the same amount of time, they will eventually cross paths.

They both cover the same d-mile distance, so:

9 ×t = 27 × (t - 2)

Simplify to get:

9 × t = 27 × t - 54

18 t = 54

t = 3

The motor boat will have traveled at 9 mph for 3 hours to make a distance of 9 × 3 = 27 miles.

The tour boat will have traveled at 27 mph for 1 hour to make a distance of 1 × 27 = 27 miles.

Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.

To know more about distance visit: brainly.com/question/18850325

#SPJ4

8 0

2 years ago

You now have 8 identical pieces of fruit. You would like to distribute all 8 of these pieces of fruit to your friends A, B, and

Ghella [55]

Step-by-step explanation:

Imagine 8 pieces of fruit and 2 bars are arranged in a line such that the 2 bars split the rest of the fruits into 3 portions.

Hence the number of ways = 10C2 = 45.

5 0

2 years ago