Given: circle o with diameter ln and inscribed angle lmn
prove: zumn is a right angle.
m
what is the missing reason in step 5?
statements
reasons
1. circle o has diameter ln and 1. given
inscribed angle lmn
2. lkn is a semicircle
2. diameter o divides
into 2 semicircles
3. circle o measures 360° 3. measure of a circle
is 360°
*m lkn = 180°
4. definition of semicircle
5.m lmn = 90°
6. zlmn is a right angle
5.2
6. definition of right angle
hl theorem
inscribed angle theorem
diagonals of a rhombus are perpendicular.

step-by-step explanation:

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.