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4 years ago

AABC - ADEF Find the value of x

Mathematics

2 answers:

Nitella [24]4 years ago

7 0

Answer:

Step-by-step explanation:

ΔABC ~ ΔDEF

AB/DE = BC/EF

x/3 = 8/6

Cross multiply.

6 × x = 3 × 8

6x = 24

Divide both sides by 6.

(6x)/6 = 24/6

x = 4

kobusy [5.1K]4 years ago

4 0

Answer:

$\boxed{x = 4}$

Step-by-step explanation:

If ΔABC ~ ΔDEF

Then their sides must be proportional such that:

=> $\frac{x}{3} = \frac{8}{6}$

Cross Multiplying

=> x * 6 = 8*3

=> 6x = 24

Dividing both sides by 6

=> x = 4

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A train leaves the station at time = 0. Traveling at a constant speed, the train travels 330 kilometers in 3 hours. Answers part

amid [387]

Answer:

The function that relates the distance traveled d to the time t is

f(t) = 110t, where d = f(t)

Step-by-step explanation:

From the question, we were told that the train is At a constant speed, the train travels 330 kilometers in 3 hours

We were told to write function that relates the distance traveled d to the time t, we can do this by writing a linear equation with those functions

Since we are told that the train travels 330 kilometers in 3 hours, then we can say the train travel (330/3) kilometers in 1 hour which means it travel 110 kilometers in 1 hour

Then d= 110t---------------eqn(1)

If if t = 0, then d = 0, as well since at t=0 the train is at the station

At t = 1 then d = 110.

From equation (1) d can be replaced by f(t) then we have

f(t) = 110t----------------eqn(2)

Now we replace d by f (t), because d = f t):

f(t) = 120t

Therefore, The function that relates the distance traveled d to the time is f(t) = 120t

5 0

3 years ago

Hep please will give brainiest and other!!!

Vaselesa [24]

y = -9

Ok so to write the equation of the line you will need the slope and y-intercept. Since we are given two-point we can easily find the slope by using this equation for slope formula:

$\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

So now that we have our equation we can just plug in the numbers:

$\frac{(-9)-(-9)}{5-(-3)}$

After subtracting you should get:

0/8

Since zero is in the numerator and you can't divide zero by anything, the slope is 0. We still need the y-intercept for the equation however since the slope is 0 there is no need to put anything else.

Then to find the y-intercept all you have to do is plug in one of the coordinatines into the slope equation to solve, for example, using the point (5,-9):

$(-9) = 5(0) + b$

B is the variable for the y-intercept. Also notice how I put 0 as our slope into the equation. Now all you have to do is solve for b. Which you would get b = -9. Since you have your slope and your y-intercept now you just write out your equatoin for the line which is:

y = 0x - 9

**Just write it as

y = -9

5 0

3 years ago

Read 2 more answers

On a single roll of a pair of dice, what are the odds against rolling a sum of 7? Please help ASAP!!! :(

Kobotan [32]

Honestly I don’t remember how to do this but u can try .083 but don’t count on it

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3 years ago

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