The measure of < BAP in the figure of the circle is 30 degrees
<h3>How to find < BAP</h3>
< ACB covers same angle as < APB
therefore
< ACB = < BAP = 120
complete the line PB to form another radius. since radius of a circle are equal, an isosceles triangle is created
Isosceles triangle has a unique property of 2 equal equal sides and equal base angles. one of the angles of the isosceles triangle is < BAP
solving with the new triangle APB
< BAP = < PBA (base angles of isosceles triangle)
< BAP + < PBA + 120 = 180
2 < BAP = 180 - 120
2 < BAP = 60
< BAP = 30 degrees
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Answer:
38 degrees
Step-by-step explanation:
The angle can be found using the Law of Cosines:
a² = b² +c² -2bc·cos(A)
cos(A) = (b² +c² -a²)/(2bc) = (3² +7² -5²)/(2·3·7) = 33/42
A = arccos(33/42) ≈ 38.213°
The measure of angle A is about 38°.
To find the value of x we use sine rule given by
a/sin A=b/sin B=c/sinC
the value of x will be given by:
∠F=180-(127)=53°
13/sin 53=x/sin 87
solving for x we get
x=[13sin 87]/sin 53
x=16.2555~16.3 cm
Answer:
1-
2- 1
3- -2
Step-by-step explanation:
1-
Add the numbers :
Reduce the fraction with 5 :
Solution :
2-
Calculate the difference:
Divide: 1
Solution: 1
3-
Subtract the numbers:
Reduce the fraction : -2
Solution: -2