<h2>Sorry I was trying to explain how to plot the points but it was harder to understand without a graph</h2>
Answer:
42°
Step-by-step explanation:
3x + 54° = 180° [Supplementary angles]
=> 3x = 180 - 54
=> 3x = 126

=> <u>x = 42</u><u>°</u><u> </u><u>(Ans)</u>
Answer:
36 miles.
Step-by-step explanation:
We have been given that Karina rode her bike up a mountain trail at an average of 4 mph. Then she rode it back down the trail at an average of 20 mph. The entire trip took 3 hours.

Substitute the given values:




The total distance is 72 miles, so the distance going up would be half of 72.

Therefore, Karina went 36 miles up the mountain.
Answer:
52.500 by 52.500 inches
Step-by-step explanation:
The rectangle with maximum area will be a square. Its side length will be 1/4 the perimeter, so is 210/4 = 52.5 inches.
The figure is a 52.500 inch square. The interval of optimization is <em>closed</em>.
_____
Side lengths are restricted to the interval 0 to 105 inches.
__
Any n-sided polygon with a given perimeter will have its maximum area when the polygon is regular. A regular 4-gon is a square.
Answer:
Boys=420
336+420= 756
Step-by-step explanation: