Answer:
1:
<A=½(arcJL)=½(70+120)=35+60=95°
[inscribed angle is half of central angle]
2:
<W=½arcVX=½(130)=65°
[inscribed angle is half of central angle]
3.
<E=½(arcDC)=½(90)=45°
[inscribed angle is half of central angle]
4.
<R=½(arcXZ)=½(110+62)=86°
[inscribed angle is half of central angle]
5.
<B=½(arc DC)=½×104°=52°
[inscribed angle is half of central angle]
6.
<K=90°
[inscribed angle in a diameter is complementary]
<K+<J+<L=180°(sum of interior angle of a triangle]
<L=180°-90°-53°=37°
again
arc JK=2×<L=2×37=74°
Answer:
u need to draw Po because graph Po yan
EF = 12
Step-by-step explanation:
Step 1 :
The square of side 18 in is divided into 3 parts of equal area by the polygonal chain
So we have
Area of the figure ABCE = Area of the figure AECF = Area of the figure AFCD
Step 2 :
Area of figure ABCE is Area of the triangle AME + Area of the trapezium EMBC
Area of triangle AME = 1/2(ME )(AM) where ME is the base and AM = 9 is the height of the triangle ( AM = 9 since M is the midpoint of AB)
Area of triangle AME = 1/2(ME )9 = 9/2(ME)
Area of the trapezium EMBC = 1/2(ME +BC)(MB) Where ME and BC are the 2 parallel sides and MB is the distance between them
Area of the trapezium EMBC = 1/2(ME+18)9 = 9/2(ME+18)
Therefore
Area of figure ABCE = 9/2(ME) + 9/2(ME+18)
= 9/2(ME +ME+18)
But we know that the area of this figure is 1/3 of the area of the square = 1/3(18*18) = 108
So, 9/2(ME +ME+18) = 108 => 2 ME + 18 = 24 = > ME = 3
Step 3 :
Using the same procedure as above we get, FN = 3
Also we have
ME + EF + FN = 18 ( side of the square)
3 + EF + 3 = 18 => EF = 12
Answer:
72 cubic inches
it's the good answer I looked at it twice
Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing
Step-by-step explanation:
From the question we are told that
The sample size is n = 16
The population proportion = 0.5
The number that of students that picked out the teachers dog is k = 14
Generally the sample proportion is mathematically represented as
=> 
=> 
The null hypothesis is 
The null hypothesis is 
Generally the test statistics is mathematically represented as
Generally the p-value is mathematically represented as
From the z table the probability of Z>3 is mathematically represented as
So
Let assume the level of significance is 
Generally from the value obtained we see that 
Hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing
