<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%2064%2F4" id="TexFormula1" title="\sqrt{x} 64/4" alt="\sqrt{x} 64/4" align="abs

Bisection is the division of a line or an angle into two equal halves. It means that a bisector is a line that divides an angle or another line into two equal halves. Therefore,

Line BE divides angle ABC into two equal halves. This means that

Angle ABC/2 = angle ABE = angle EBC

Therefore,.

2x + 20 = 4x - 6

4x - 2x = 20 + 6

2x = 26

x = 26/2 = 13

Therefore,

Angle ABE = 2 × 13 + 20

= 46 degrees

8 0

3 years ago

A survey study is to be made to estimate the proportion of residents of a certain suburb who favor the construction of a public

lesya [120]

Answer: 601

Step-by-step explanation:

When the prior estimate of population proportion is not given , the formula we apply to find sample size :

$n=0.25(\dfrac{z^*}{E})^2$

, where z* = critical z-value

E=Margin of error

Given : Margin of error = 0.04

Confidence level = 95%

We know that , according to the z-table , the critical value for 95% confidence interval = z*= 1.960

Then, the required sample size : $n=0.25(\dfrac{1.960}{0.04})^2$

$n=0.25(49)^2$

$n=0.25(2401)=600.25\approx601$

Hence, the required minimum sample size = 601

4 0

3 years ago