Miss Smith save 5% on her recent Starbucks order because she is a Starbucks Rewards member if the cost of per purchase before th
2 answers:
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Answer:
c, d. see attached
e. about 2.96 miles; about $1.63 million
Step-by-step explanation:
e. The x-coordinates of points A and B are 1/3 and 2/3 of the x-coordinate of "Downtown", respectively. The y-coordinates of A and B are 2/3 and 1/3 of the y-coordinate of "Town pool", respectively. Then the distances from A and B to the Mall can be found using the Pythagorean theorem:
A to Mall = √(4² +(10/3)²) = √(244/9) ≈ 5.20683 . . . miles
B to Mall = √(8² +(5/3)²) = √(601/9) ≈ 8.17177 . . . miles
The difference in distance is ...
(BM -AM) = 8.17177 -5.20683 = 2.96493 . . . miles
The mall is about 2.96 miles farther from point B than from point A.
The additional cost is the difference in miles multiplied by the cost per mile:
(2.96 mi)($0.550 M/mi) = $1.63 M
The additional cost of the longer road is about $1.63 million.
Answer:
- Angle Bisector Theorem
- Sum of Adjacent Angles
- Co-interior angle property
- Additive law
Step-by-step explanation:
Note: Diagram for Question is attached
1. Angle Bisector Theorem
BD is the angle bisector. Bisection means dividing in 2 equal parts. So angle 3 and angle 4 are equal.
2. Sum of Adjacent Angles
Two adjacent angles can be added together to find the larger angle that is formed by the two angles.
3. Co-interior angle property
Co-interior property states that if a single line intersects two parallel lines, the sum of interior angles (of same side) is equal to 180. (Image attached for visual representation)
4. Additive law
By additive law, we can subtract a value from both sides of the equation without unbalancing the equation. So, we can subtract 110 from both sides of the equation giving 70 as the final answer.
