There is a little-known theorem to solve this problem.
The theorem says that
In a triangle, the angle bisector cuts the opposite side into two segments in the ratio of the respective sides lengths.
See the attached triangles for cases 1 and 2. Let x be the length of the third side.
Case 1:
Segment 5cm is adjacent to the 7.6cm side, then
x/7.6=3/5 => x=7.6*3/5=
4.56 cm
Case 2:
Segment 3cm is adjacent to the 7.6 cm side, then
x/7.6=5/3 => x=7.6*5/3=
12.67 cmThe theorem can be proved by considering the sine rule on the adjacent triangles ADC and BDC with the common side CD and equal angles ACD and DCB.
3x+50 = 6x - 10
6x -3x = 50+10
3x = 60
x = 20
answer
x = 20
Base six and greater would make 4025 a legitimate numeral.
Legitimate number in which bases a number is legitimate by comparing the largest digit with the base number. If the largest digit is less than the base number, it is a legitimate number.
We have number 4025 .So, here largest digit is 5.
As 4025 to be the Legitimate numeral ,the base number should be greater than the largest digit of the numeral. So the base number should be greater than 5 .
Therefore, any base of 6 or higher would make 4025 a legitimate numeral.
Learn more:brainly.com/question/10868065
Using a confidence interval of proportions, it is found that the correct statement is given by:
D a confidence interval for estimating the cricket's true probability of landing on its feet is more narrow after the final 10 jumps than it was before the final 10 jumps.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:

In which:
is the sample proportion.
The margin of error is given by:

The margin of error is inversely proportional to the square root of the sample size, hence, the higher the sample size, the narrower the interval is, hence option D is correct.
More can be learned about a confidence interval of proportions at brainly.com/question/25890103