A horizontal translation 4 units to the left
Let c be children and a adults.
3.5c + 7a = 1771 (the total revenue is equal to the amounts made off of people)
c + a = 331 (total number of people)
The second formula becomes a = 331 - c. This can be substituted into the first formula.
3.5c + 7(331 - c) = 1771 = 7*331 - 3.5c = 1771. 7*331 = 2317, so 3.5c = 2317 - 1771 = 546.
546/3.5 = 156 = c (number of children).
c + a = 156 + a = 331 => a = 331 - 156 = 175 (number of adults).
There are 156 children and 175 adults
1. 6 1/2
2.4 1/2
3. 9 1/3
4. 9 1/2
5. 9 6/8
6. 6 1/2
(For the adding ones ) I also simplified them.
Answer:
<u>Properties of a rhombus used to solve the following </u>
- <em>Opposite angles are congruent</em>
- <em>Diagonals are angle bisectors</em>
- <em>Diagonals are perpendicular to each other</em>
- <em>Adjacent angles are supplementary</em>
(30)
- ∠2 = ∠3 = ∠5 = 27°
- ∠1 = ∠4 = 180° - (2*27°) = 126°
(31)
- ∠4 = 70°
- ∠1 = ∠2 = ∠3 = ∠5 = 1/2(180° - 70°) = 1/2(110°) = 55°
(32)
- ∠1 = ∠2 = ∠5 = 90° - 26° = 64°
- ∠3 = 26°
- ∠4 = 90°
