Answer: The two triangles are similar because the angles are congruent.
Step-by-step explanation: If you add the given measures of the angles given, then subtract from 180, the remainder is equal to the measure of the angle given for the other triangle.
180 - (103 + 22) = 55
180 - (22 + 55) = 103
So both triangles have the same angle measurements.
Answer: b) 84
Step-by-step explanation:
Let p be the prior estimate of the required proportion.
As per given , we have
p =0.5 (The probability of getting heads on a fair coin is 0.5)
Significance level : 
Critical z-value (using z-value table ) : 
Confidence interval width : w= 0.18
Thus , the margin of error : 
Formula to find the sample size ( if prior estimate of proportion is known.):-

Substitute the values , we get

Simplify ,
[Round of to the next whole number.]
Hence, the number of times we would have to flip the coin =<u>84</u>
hence, the correct answer is b) 84
Answer:
i-
Step-by-step explanation:
Answer:
Option 2: (1,0) is the correct answer
Step-by-step explanation:
Given inequality is:
y>-5x+3
In order to find which point is solution to the given inequality we'll put the point one by one in the inequality. If the point satisfies the inequality, then the point is the solution of the inequality.
Putting (0,3) in inequality

Putting (1,0) in inequality

Putting (-3,1) in inequality

Putting (-1,-2) in inequality

The inequality is true for (1,0)
Hence,
Option 2: (1,0) is the correct answer