Some steps to construct an angle MNT congruent to angle PQR are listed below. Step 3 is not listed:

2 answers:

4 0

Answer: Maintaining the same width of the compass as AB, draw an arc from point X such that it intersects the arc drawn from N in a point Y is the correct answer.

Step-by-step explanation: I can confirm because I took the test and got it correct.

Sedbober [7]2 years ago

3 0

To construct an angle MNT congruent to angle PQR:

Steps to construct an angle MNT:

Step 1: Use a compass to draw an arc from point Q which intersects the side PQ at point A and the side QR at point B.

Step 2: Draw a segment NT and use the same width of the compass to draw an arc from point N which intersects the segment NT at a point X.

Step 3: Adjust the width of the compass to AB, and draw an arc from point X such that it intersects the previous arc drawn from N in a point Y.

Step 4: Join points N and Y using a straightedge.

Step 5: Angle MNT is the required angle congruent to angle PQR.

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Suppose an automotive repair company wants to determine the current percentage of customers who keep up with regular vehicle mai

Nina [5.8K]

Answer: 1692

Step-by-step explanation:

Formula to find the sample size :

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2$

Given : Confidence level : $(1-\alpha)=0.90$

⇒ significance level = $\alpha= 0.10$

z-value for 90% confidence interval (using z-table)= $z_{\alpha/2}=1.645$

Prior estimate of the population proportion (p) of customers who keep up with regular vehicle maintenance is unknown.

Let we take p= 0.5

Margin of error : E= 2%=0.02

Now, the required sample size will be :

$n=0.5(1-0.5)(\dfrac{1.645}{0.02})^2$

Simplify , we get

$n=(0.25)(6765.0625)=1691.265625\approx1692$

Hence, the required sample size = 1692

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