Answer:
The angles
are used to prove the similarity of triangles VWZ and YXZ.
Step-by-step explanation:
Given information: 
Two triangles are called congruent if their corresponding sides are in same proportion or the corresponding angles are same.
If two corresponding sides of triangle have same proportion and their inclined angle is same, then by SAS rule of similarity both triangles are similar.
From the given figure it is noticed that the ∠VZW and ∠YZX are vertically opposite angles. The vertically opposite angles are always equal.
(Vertically opposite angles)
(Given)
By SAS rule of similarity

Therefore the angles
are used to prove the similarity of triangles VWZ and YXZ.
Answer:
Step-by-step explanation:
a) The objective of the study is test the claim that the average gain in the green fees , lessons or equipment expenditure for participating golf facilities is less than $2,100 under the claim the null and alternative hypothesis are,
H₀ : μ = $2,100
H₀ : μ < $2,100
B) Suppose you selects α = 0.01
The probability that the null hypothesis is rejected when the average gain is $2,100 is 0.01
C) For α = 0.01
specify the rejection region of a large sample test
At the given level of significance 0.01 and the test is left-tailed then rejection level of a large-sample = < - 1.28
Answer:
x = 106°
Step-by-step explanation:
sum of interior opposite angles of a triangular is equal to a exterior angle
= x +22= 40 +88
= x = 128- 22
x = 106 °
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Answer:
The Answer is: B. 79% and 89%
Step-by-step explanation:
Subtract 11% from 89 and 100 to get the range:
89 - (89*.11) =
89 - 9.79 = 79.21
100 - (100*.11) =
100 - 11 = 89
Answer:
The answer to your question is AC = 9.9
Step-by-step explanation:
To solve this problem use trigonometric functions. The trigonometric function that relates the hypotenuse and the adjacent side is cosine.
cos α = 
Solve for hypotenuse

Substitution
hypotenuse = 
Simplification and result
hypotenuse = 9.85