Answer:
x = 11
Step-by-step explanation:
Since we are given triangle PQR is similar to triangle PTU, we can write a proportion to connect the side lengths:
PQ / PT = QR / TU = PR / PU
We don't really care about QR and TU because the are irrelevant to the problem, so we can remove them:
PQ / PT = PR / PU
Now, we can substitute the values given by the diagram:
70 / 30 = 49 / (x + 10)
We can cross multiply,
70(x + 10) = 30 * 49
And divide by 70 on both sides(too lazy to multiply :P)
x + 10 = 3 * 7
x + 10 = 21
x = 11
Answer:
1. 36 miles
2. 108 miles
3. 234 miles
Step-by-step explanation:
Here we have the Distance in miles, time and calculated speed as follows;
Distance (miles) Elapsed time (hours) Speed (miles/hour)
0 0 0
72 2 36
144 4 36
216 6 36
Distance = Speed (miles/hour) × Elapsed Time (hour)
Therefore, in
1. 1 hour, she travels
1 × 36 = 36 miles
2. 3 hours she travels
3 hours × 36 miles/hour = 108 miles
3. 6.5 hours she travels
6.5 hours × 36 miles/hour = 234 miles.
It is said the blue card is a rectangle, so you don’t have to minus the inside rectangle. :)
18 is the nearest whole number
