Answer:
29°
Step-by-step explanation:
∠1 ≅ ∠8
3x+25 = 4x -17
42 = x . . . . . . . . . . add 17-3x
Now, we can find the measure of ∠1:
m∠1 = 3(42) +25 = 151
Angle 2 is the supplement to this, so has measure ...
m∠2 = 180° -151° = 29°
Answer: 1.467
Step-by-step explanation:
Formula of Margin of Error for (n<30):-

Given : Sample size : n= 22
Level of confidence = 0.90
Significance level : 
By using the t-distribution table ,
Critical value : 
Standard deviation: 
Then, we have

Hence, the margin of error for the confidence interval for the population mean with a 90% confidence level =1.467
Answer: 76 ft2
Step-by-step explanation:
Perimeter = 2 side length +base length
40 = 2s +12
Solving for s:
40-12 =2s
28 =2s
28/2=s
14ft =side
Since the line which bisects and isosceles triangles is at a right angle to the base we can use the Pythagorean Theorem to find the height (see attachment)
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case 14) and a and b are the other sides. (Base divided by 2 is one side, the other side is the height)
Replacing with the values given:
14^2= 6^2 + x^2
196 = 36 + x^2
196-36 = x^2
160 = x^2
√160 = x
x = 12.64 (height)
Area of an isosceles triangle = 1/2 x base x height
A = 1/2 x 12 x 12.64 = 76 ft2
Answer: the third one
Step-by-step explanation:
Step-by-step explanation:
first do prime factorization of 324= 2×2×3×3×3×3
= 2 square, 3 square,3 square
therefore 324 is a perfect square
Now,
prime factorization of 588=2×2×3×7×7
= 2 square,7 square ,3
therefore 588 is not a perfect square