Answer:
Step-by-step explanation:
The question is incomplete, as the angles of rotation are not stated.
However, I will list the angles less than 360 degrees that will carry the hexagon and the nonagon onto itself
We have:
Divide 360 degrees by the number of sides in each angle, then find the multiples.
<u>Nonagon</u>
List the multiples of 40
<u>Hexagon</u>
List the multiples of 60
List out the common angles
This means that, only a rotation of 
will lift both shapes onto themselves, when applied to both shapes.
The other angles will only work on one of the shapes, but not both at the same time.
Answer:
16 glasses
Step-by-step explanation:
If 1 glass = 1/4 liter of juice
then 16 glasses = 4 liters of juice
because 4 divided by 1/4 = 16
a. If we subtract 75 from 550 twice, we get 400, which is the third member to join. Subtract 75 from 400, we get $325, the fourth member to join.
b. It is not possible that a member would join for free if it was a large family. 75 does not fit into 550 evenly. You can prove this by solving the expression 550÷75.
c. The lowest amount that a member would pay to join is $25.00. It would be the 7th member.
Answer:
18.4°
Step-by-step explanation:
Use law of cosine.
a² = b² + c² − 2bc cos A
11² = 20² + 28² − 2(20)(28) cos A
121 = 1184 − 1120 cos A
cos A = 0.949
A = 18.4°
Answer:
12
Step-by-step explanation:
write it out:
3/7 x x/28
cross-multiply and solve:
3*28 and 7x
3 x 28 = 84
make an expression:
84 = 7x
solve the expression:
7x/7 = 1
84/7 = 12
x =12
