Answer:
19. A
20. A
Step-by-step explanation:
19. tan(53)=15/x
x(tan(53))=15
x=15/(tan53))
x=11.3 feet
20. tan(60)=12/x
x(tan(60))=12
x=12/(tan(60))
x=6.93, or 4sqrt3
Answer:
the answer is b
Step-by-step explanation:
(2)5x-y=12
3x+2y=2
10x-2y=12
3x+2y=2
13x=2
x=0.15
Answer:
The answer is: 13 minutes
Step-by-step explanation:
First Let us form equations with the statements in the two scenario
Let the time in which the bell rings be 'x'
1. If Andrew walks (50 meters/minute), he arrives 3 minutes after the bell rings. Therefore the time of arrival at this speed = (3 + x) minutes
2. If Andrew runs (80 meters/minute), he arrives 3 minutes before the bell rings. Therefore the time taken to travel the distance = (x - 3) minutes

In both cases, the same distance is travelled, therefore, equation (1) = equation (2)

Next, collecting like terms:

dividing both sides by 3:
x = 390÷30 = 13
∴ x = 13 minutes
Answer: AAS
Step-by-step explanation:
We know that
because they are vertical angles, meaning the triangles are congruent by <u>AAS.</u>