Answer:

Step-by-step explanation:
step 1
Find PN
we know that
PN is a diameter
PS is a radius

so

step 2
Find the measure of arc MP



step 3
Find the measure of angle MNP
we know that
The inscribed angle measures half that of the arc comprising

substitute the value

step 4
Find the measure of angle MPN
we know that
The inscribed angle measures half that of the arc comprising

substitute the value

step 5
Find the measure of angle NMP
The sum of the internal angles of a triangle must be equal to 180 degrees


therefore
The triangle MNP is a right triangle
step 6
Find the length MN
In the right triangle MNP

substitute the values


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Answer:
630
Step-by-step explanation:
259 rounded to the nearest 10 is 260
372 rounded to the nearest 10 is 370
260+370=630
Hope this helps!