Find the quotient: –10/19÷(−5/7)

14/19

Step-by-step explanation:

Note that there are two " - " signs here.  Thus, the end result will be " + "

We move from left to right, obtaining first 10/19 divided by (5/7):

10

÷ (5/7)

19

To divide by (5/7), invert (5/7) and then multiply.  We get:

10      7      2(7)

* = = 14/19

19       5       19

Explanation: The sum of the measure of the internal angles of any triangle is 180o . In a right angled triangle, one angle will be 90o . Since we know the measure of one of the other acute (less than 90o ) angles, we subtract the sum of the two known angles from 180 to calculate the measure of the other acute angle.