Answer:
Sum of the angles = 360 degrees.
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Let the two larger angles have measure "x":
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Then the two smaller angles have measure "0.25x":
Step-by-step explanation:
Answer:
wat is it
Step-by-step explanation:
<h2>
Answer:</h2>
His average speed on the return drive is:
50 mph
<h2>
Step-by-step explanation:</h2>
Let d be the distance from home to the place of his job interview.
Let s be the average speed when he drive to his job interview.
Now, it is given that:
It took Gustavo 5 hours to drive to a job interview.
We know that distance is the product of speed and time.
i.e.
![Distance=Speed\times Time](https://tex.z-dn.net/?f=Distance%3DSpeed%5Ctimes%20Time)
Hence, we have:
![d=5s--------(1)](https://tex.z-dn.net/?f=d%3D5s--------%281%29)
Also,
On the way home, he was able to increase his average speed by 20 mph and make the return drive in only 3 hours.
His average speed back home is: s+20
and his time is: 3 hours
Hence, we have:
![d=3(s+20)\\\\i.e.\\\\d=3s+60----------(2)](https://tex.z-dn.net/?f=d%3D3%28s%2B20%29%5C%5C%5C%5Ci.e.%5C%5C%5C%5Cd%3D3s%2B60----------%282%29)
From equation (1) and equation (2) we have:
![5s=3s+60\\\\i.e.\\\\5s-3s=60\\\\2s=60\\\\s=\dfrac{60}{2}\\\\s=30\ mph](https://tex.z-dn.net/?f=5s%3D3s%2B60%5C%5C%5C%5Ci.e.%5C%5C%5C%5C5s-3s%3D60%5C%5C%5C%5C2s%3D60%5C%5C%5C%5Cs%3D%5Cdfrac%7B60%7D%7B2%7D%5C%5C%5C%5Cs%3D30%5C%20mph)
Hence, his average speed on the return drive is: s+20
= 30+20
= 50 mph
Answer:4000 bottle containers and 1000
Medical kits
Step-by-step explanation:
The total weights the plane can take per trip is 90000lb. It implies that if we multiply the weight of each bottle container by the number of bottle container and add it to the product of the number medical kit and the weight of each medical kit, we will obtain a total weight of 90000lb.
If x is the number of bottle and y is the number of medical kit
20×x+10×y=90000....i
Also
The total volume the plane can take per trip is 6000ft³ It implies that if we multiply the volume of each bottle container by the number of bottle container and add it to the product of the number medical kit and the volume of each medical kit, we will obtain a total volume of 6000ft³.
Recall, x is the number of bottle and y is the number of medical kit
1×x+2×y=6000....ii
Combining equation i and ii and solving simultaneously,
x=4000 units and y= 1000 units in each plane trip