Answer:
Option (D) is correct.
Step-by-step explanation:
In a triangle BCD , with b, c, d as the sides of triangle.
Sine rule states when we we divide side b by the sine of angle B then it is equal to side c divided by the sine of angle C and also equal to side d divided by the sine of angle D.
Using Sine rule,

Consider the first and third ratio,

Substitute the values of d = 3 , b= 5 and ∠D=25°

Thus, Measure of angle B is 45 and 135 as sinB is positive is first and 2nd quadrant.
Thus, option (D) is correct.
Answer:
38 units.
Step-by-step explanation:
4x + 6 =
{midpoint theorem}
4x + 6 = 
4x + 6 = 2x + 22
4x -2x + 6 = 22
2x + 6 = 22
2x = 22 -6
2x = 16
x = 16/2
x = 8
Length of midsegment = 4x + 6 = 4*8 + 6
= 32 + 6
= 38
Answer:
3
Step-by-step explanation:
the mean is 103, as a result you must find the distance.
from 100 to 103 is 3
from 194 to 103 is 1
from 107 to 103 is 4
Then find the mean again youll get 18/6 which is 3
2,4 and I am not too sure but I think -4
Answer:
As can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.
Step-by-step explanation:
Given that a national organization sets out to investigate the change in prevalence of HIV since the last census in 2010, ya total of 4,706 participants were interviewed and a total of 468 responses were confirmed to be HIV positive, assuming that the data from the census indicated that the prevalence of HIV in the particular population was 7.5%, to determine if the proportion of the prevalence of HIV has changed (is equal to 7.5%) the following calculation should be performed:
4706 = 100
468 = X
468 x 100/4706 = X
46,800 / 4,706 = X
9.94 = X
Therefore, as can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.