Answer: There were 10 students in the class on the first day.
Step-by-step explanation:
Let x be the number of students of the first day.
Given: A college writing seminar increased its size by 50 percent from the first to the second day.
i.e. Number of students on second day = (Number of students on first day)+(50% of Number of students on first day)
= x +50% of x
= x+0.50x
= (1.50)x
=1.50x
Since, it is given that the total number of students in the seminar on the second day was 15.
i.e. 

Hence, there were 10 students in the class on the first day.
Answer: The length of AC is 18 ft.
Step-by-step explanation:
By the given diagram,
AM = MB and CN = NB
M and N are the mid points of the sides AB and CB respectively,
Thus, by the mid point theorem,
MN ║ AC,
By the alternative interior angle theorem,
∠BMN ≅ ∠BAC
∠BNM ≅ ∠BCA
Thus, by AA similarity postulate,
ΔBMN ≅ ΔBAC
By the property of similar triangles,





Thus, The length of AC is 18 ft.
Answer:
False, quadrant two has both negative and positive values.
Hope I helped. Good luck on the assignment!
Step-by-step explanation:
Step-by-step explanation:
- In a right triangle, if ∠B is 45°, then ∠C is too.
-- Since ∠B and ∠C are equal, the sides opposite them
are equal too. This is an isosceles right triangle. Its legs
are equal.
-- (The hypotenuse)² = (one leg)² + (the other leg)²
= (12-ft)² + (12-ft)²
= (144 x 2)
The hypotenuse = √(144 x 2) = 12√2 .
LOL