Answer:
152
Step-by-step explanation:
is given, and the angle next to it is a supplement. (Unfortunately, that angle can't be named in the usual way because there is no labeled point "southeast" of point Y.)
That angle has measure 180 - 104 = 76.
Now arc WXY's measure is <u>twice</u> the measure of this angle, so mWXY = 2(76) = 152.
Answer: The required width of the park is 3 miles.
Step-by-step explanation: Given that a 5 mile jogging path diagonal divides a rectangular park in half and the park is 4 miles long.
We are to find the width of the park.
As shown in the attached figure below, the diagonal BD divides the rectangle ABCD into two equal parts,
where length DA = 5 miles, BD = 4 miles and AB = width = ?
Since each angle of a rectangle is right-angle, so triangle ABD will be a right-angled triangle.
Using Pythagoras theorem in triangle ABD, we have
Thus, the required width of the park is 3 miles.
