Answer:
N.14 ABC = 5x+20, N.15 ABE = 90. N.16. 123, 29, 28. N.17 K = 80
Step-by-step explanation:
Because of vertical angles, 5x+20 = 3x+66.
5x=3x+46
2x = 46
x = 23
Sum of angles in a circle is 360
360-135-135=180
ABE = CBD because vertical angles.
180 / 2 = 90
16.
Sum of angles in triangle is 180
180=123-x-2-x-3
x = 31
123, 29, 28.
17.
Sum of angles in triangle is 180
180-72-28 = 80
K = 80
Answer:
Option D. The student did not use the correct formula to calculate the area of the segment
Step-by-step explanation:
step 1
Find the area of the isosceles triangle
Applying the law of sines

step 2
Find the area of the sector
The area of the sector is 1/6 of the area of the circle
so

substitute the value

step 3
Find the area of the segment
The area of the segment is equal to the area of sector minus the area of triangle

therefore
The student did not use the correct formula to calculate the area of the segment
Answer:
15 and 27 are composite
Step-by-step explanation:
prime numbers only factor into 1(x) and x(1)
13 = 1(13), 13(1)
15 = 1(15), 3(5), 5(3), 15(1)
17 = 1(17), 17(1)
27 = 1(27), 3(9), 9(3), 27(1)
hope this helps
Answer:
B
Step-by-step explanation:
Internal validity means that it it valid for the population within the study internal = study). While external validity means that it has wider applications and is valid for people outside the study or in different setting. In other word, a statistical analysis has internal validity if the statistical inferences about causal effects apply for those being studied. It has external validity when if can be generalized to other settings and populations. The answer choice which best matches this is B.
Answer choices:
A. A statistical analysis is said to have external validity if the statistical inferences about causal effects are valid for the population being studied. The analysis is said to have internal validity if conclusions can be generalized to other populations and settings.
B. A statistical analysis is said to have internal validity if the statistical inferences about causal effects are valid for the population being studied. The analysis is said to have external validity if conclusions can be generalized to other populations and settings.
C. A statistical analysis is said to have internal validity if the statistical inferences about causal effects can only be verified by a few researchers. The analysis is said to have external validity if conclusions can be verified by many researchers.
D. Internal validity and external validity are equivalent.
Answer:
C = 200p + 400
Step-by-step explanation:
Because C is the cost of a given day, 400 acts as a y-intercept.
400 is the initial fee paid then 200 per each phone manifactured, meaning that 200 is the slope.