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1 answer:
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Answer:
3
Step-by-step explanation:
Triangles with the same shape but different size are proportional. Proportional means that their side lengths form equal ratios. To solve for x, set up a proportion.
The ratios we will create will be where each long and short are corresponding sides from each triangle.
So write:
To solve, cross multiply numerator with denominator.
4(2.25) = 3(x)
9 = 3x
3 =x
Answer:
30 miles
Step-by-step explanation:
Given: Drive to work in 45 min.
Bus would take to travel= 1 hr 15 min
Average rate on the bus is 16 mph slower than his driving rate.
Lets assume the average driving rate be "x" mph.
∴ Average rate of bus=
Now converting unit of time taken to travel to work.
Remember; 1 hours= 60 minutes.
Time taken for drive to work=
Time taken in bus to work= 1 hour and 15 minutes=
∴ Time taken in bus to work in hours=
Considering the distance remain constant to travel for work.
Next, forming an equation to find the value of x.
As we know,
⇒
Using distributive property of multiplication.
⇒
Adding both side by 20
⇒
Subtracting both side by 0.75x
⇒
Dividing both side by 0.5
⇒
∴
Hence the average rate for drive to work is 40mph.
Now, subtitiuting the value of x to find the distance travelled to work.
Distance travelled=
Hence, distance travelled to work is 30 miles.