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1. Angle PAB is 90 degrees, as it is formed from the tanget to the circle at A, and the radius drawn to A.
2. AB=BC, because tangents drawn to a circle from the same point are equal.
3. PB is Common, so by the side-side-side congruence postulate, triangles ABP and CBP are congruent.
4. So measure of m(BPA)=x/2 and m(ABP)=73/2.
5.
, x= 107 degrees.
2. AB=BC, because tangents drawn to a circle from the same point are equal.
3. PB is Common, so by the side-side-side congruence postulate, triangles ABP and CBP are congruent.
4. So measure of m(BPA)=x/2 and m(ABP)=73/2.
5.
The step which contains the first error in calculation is: B. Step 2 - the sine ratio was applied incorrectly.
<h3>What is the law of sines?</h3>The law of sines is also referred to as sine law or sine rule and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.
Mathematically, the law of sines is given by this equation:
For any right-angled triangle, the ratio of the length of its opposite sides to the length of its hypotenuse is generally referred to as sine ratio. Thus, sine ratio is given by this formula:
cos(θ) = Opp/Hyp
<u>Where:</u>
- Opp is the opposite side of a right-angled triangle.
- Hyp is the hypotenuse of a right-angled triangle.
- θ is the angle.
In this context, we can infer and logically deduce that the step which contains the first error in calculation is step 2:
sin(W) = y/XZ; XZsin(W) = y.
In conclusion, the correct step should have been written as follows:
sin(W) = XZ/y; ysin(W) = XZ.
Read more on law of sines here: brainly.com/question/27868305
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Answer:
n=438
Step-by-step explanation:
-Given the sample proportion and the confidence level is 95%.
-The sample size can be calculated using the formula;
#Substitute parameters in the formula and make n the subject of the formula;
Hence, the desired sample size is n=438