Answer:
1. 10 : 24 = 5 : 12 = 20 : 48 = 40 : 96
2. 2 : 3 : 5 = 4 : 6 : 10 = 8 : 12 : 20
9514 1404 393
Answer:
14. 53.1°
16. 253.7°
Step-by-step explanation:
14. The measure of angle L can be found from the cosine relation:
Cos = Adjacent/Hypotenuse
cos(L) = 9/15 = 3/5
L = arccos(3/5) = 53.1° . . . arc MK
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16. Arc MK is half of arc JK, so that arc is 106.3°. The long arc JPK is the difference between 360° and the measure of the short arc JK.
360° -106.3° = 253.7° . . . arc JPK
Answer:
x = 1 in
Step-by-step explanation:
We can use ratios to solve since they are similar triangles
6 6+x
----- = ---------
5 6
Using cross products
6*6 = 5*(6+x)
36 = 30+6x
Subtract 30 from each side
36-30 = 30-30+6x
6 = 6x
Divide each side by 6
6/6 = 6x/6
1 =x