Chuck travels 162 miles in the same time that dana travels 150 miles. if chuck’s rate of travel is 4 mph more than dana’s and they travel the same length of time, at what speed does chuck travel

31 mph

Step-by-step explanation:

Chuck travel 124 miles in the time it takes Dana to travel 108 miles.

If Chucks rate is 4mph more than Danas, and they travel the same length in time, what is chucks speed.

:

Let s = Chuck's speed

then

(s-4) = Dana's speed

;

The times are equal, write a time equation: time = dist/speed

124/s = 108/(s-4)

Cross multiply

124(s-4) = 108s

124s - 496 = 108s

124s - 108s = +496

16s = 496

s=496/16 thus leading to Chuck's speed

The correct answer option is 82°.

Step-by-step explanation:

We can see from the given diagram that the quadrilateral ABCD is inscribed in a circle.

Now using the property:

'Opposite angles in any quadrilateral inscribed in a circle are supplements of each other'. Which means that their measures add up to a total of 180 degrees.

Thus, ∠A + ∠C = 180°.

If ∠A = 100°, then ∠C =  180° - 98°.

Therefore, ∠C =  82°.