The true statements are : A, E & F
Step-by-step explanation:
In geometry symbols, ≅ means congruent to, equivalence of geometric shapes and size thus ∠B≅∠X
The symbol ~ means similarity, same shape not same size. Line segment AB~WX and line segment ZW ~ DA
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Keywords :statements, true, similar, isosceles trapezoids
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Answer:
L = 5S - 3
length of long side = 134.5 ft
length of short side = 27.5 ft
Step-by-step explanation:
L = 5S - 3
2L + 2S = 324 (keyword: enclose)
2(5S - 3) + 2S = 324
10S - 6 + 2S = 324
12S = 324 + 6 = 330
Thus S = 330/12 = 27.5 ft
Thus L = 5(27.5) - 3 = 134.5 ft
The measure of angle theta is 30 degrees.
This is a 30-60-90 triangle where the short leg is half that of the hypotenuse. The short leg is opposite the smallest angle 30 degrees.
You can use trig to find that
sin(angle) = opposite/hypotenuse
sin(theta) = 5/10
sin(theta) = 0.5
theta = arcsin(0.5)
theta = 30 degrees
Answer:
a) 0.23
b) The 95% confidence interval for the population proportion is (0.1717, 0.2883).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
Point estimate
The point estimate is:
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the population proportion is (0.1717, 0.2883).
