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kicyunya [14]
2 years ago
9

5. Find the triangle similar to AABC at the right. Question 5

Mathematics
1 answer:
MaRussiya [10]2 years ago
7 0

Answer:

b

Step-by-step explanation:

If you multiple each side by 3 then they will equal the numbers that b has

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75 POINTS Need an immediate answer please brainliest will be given! A train left a station travelling to a city at 30 mph. The t
yaroslaw [1]

The value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

<h3>What is the rate of speed?</h3>

The rate of speed is the rate at which the total distance is travelled in the time taken. Rate of speed can be given as,

r=d/t

Here, (d) is the distance travelled by the object and (t) is time taken but the object to cover that distance.

The train traveled 1/3 of the distance at 30 mph and the remaining distance at 40 mph. Let <em>t</em> is the time the train has taken to travel and x is the distance it travelled. Thus,

t=\dfrac{\dfrac{1}{3}x}{30}+\dfrac{\dfrac{2}{3}x}{40}\\t=\dfrac{x}{90}+\dfrac{x}{60}\\t=\dfrac{2x+3x}{180}\\t=\dfrac{5x}{180}\\t=\dfrac{x}{36}

After two hour a car left the same station traveled the first 3 hours at 35 mph and the remaining distance at 51 mph. Let <em>t</em> is the time the car has taken to travel and x is the distance it travelled. Thus,

t+2=3+\dfrac{(x-3\times35)}{51}

As t is same, thus put the value of t in this equation,

\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=1+\dfrac{(x-105)}{51}\\\dfrac{x}{36}=\dfrac{(51+x-105)}{51}\\51x=36x-54\times36\\51x-36x=1944\\x=\dfrac{1944}{15}\\x=129.6

Thus, the value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

Learn more about the rate of speed here:

brainly.com/question/359790

#SPJ1

6 0
2 years ago
3. passes through (8. -4), slope = 1/2​
spayn [35]

Answer:

y=12x−8

Step-by-step explanation:

8 0
2 years ago
32. A data set is normally distributed
KiRa [710]

Answer:

93.1%

Step-by-step explanation:

7 0
2 years ago
How do you write 287% as a fraction or mixed number in simplest form? Submit
Anna007 [38]
As a fraction: 287/100

As a mixed number: 2 87/100

_____
Remember, "%" means exactly the same thing as "/100".
3 0
3 years ago
4 × (28 ÷ 7)2 = <br> HURRYYYYY
umka21 [38]

The answer is 32

hope this helps! :)

8 0
3 years ago
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