Answer:
(a, b, c) = (30°, 60°, 105°)
Step-by-step explanation:
Angle "a" and 30° are vertical angles, hence equal.
Angle "b" and angle "a" are complementary angles, so b = 90° -30° = 60°.
Angle "c" is supplementary to the one marked 75°, so is 180° -75° = 105°.
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Angles "a" and "b" are complementary because the sum of angles in a triangle is 180° and the third angle in that triangle is 90°. Then ...
a+b = 180°-90° = 90°
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75° and "c" are supplementary, because they are linear angles. The angle measure of a line is 180°, so that is their total measure.
Answer:
Where is the schools coordinates subtract two thirds from whatever the schools coordinates are and you will have your answer for Dyami
Step-by-step explanation:
To find the circumference of a circle you have to multiple the radius by 2 and also by pi. So, to find the radius when given just the circumference, who have to do the reverse operation and divide the circumference by 2 and also by pi to get the answer of 22.92993631, which you could of course round.
Answer:
The number of ways the grasshopper can reach the desired destination are 9 ways
Step-by-step explanation:
The directions in which the grasshopper can jump are;
One block north and one block west
By counting, we have;
The number of possible ways are through blocks
1) 1, 2, 5, 6, 8, 10
2) 1, 2, 5, 6, 8, 9
3) 1, 2, 5, 6, 7, 9
4) 1, 2, 3, 6, 8, 10
5) 1, 2, 3, 6, 8, 9
6) 1, 2, 3, 6, 7, 9
7) 1, 2, 3, 4, 7, 9
8) 15, 14, 16, 12, 11, 10
9) 12, 13, 16, 12, 11, 10
Therefore, there 9 ways the grasshopper can reach the desired destination.
Answer:
Unit price of strawberries at Grocery Mart is $ 1.495 or 150 pennies
Unit price of strawberries at Baldwin Hills Market is $ 1.33 or 133 pennies.
Step-by-step explanation:
1 dollar = 100 pennies
Given:
Cost of 2 pounds of strawberries at Grocery Mart = $ 2.99
Cost of 3 pounds of strawberries at Baldwin Hills Market = $3.99
∵ Cost of 2 pounds of strawberries at Grocery Mart = $ 2.99
∴ Cost of 1 pound of strawberries at Grocery Mart = 
∵ Cost of 3 pounds of strawberries at Baldwin Hills Market = $3.99
Cost of 1 pound of strawberries at Baldwin Hills Market = 
Therefore, the unit price of strawberries at each grocery store is the cost of 1 pound of strawberries. So, unit rate at Grocery Mart is 150 pennies and at Baldwin Hills Market is 133 pennies.