Answer:
B. ZJ = 85
C. KH = 68
Step-by-step explanation:
Given that ZK, ZL, ZM are perpendicular bisectors of ∆GHJ, they form a circumcenter which is equidistant from the vertices of ∆GHJ. According to the circumcenter theorem, ZH = ZG = ZJ = 85.
Also each median formed is equal. This means: KH = GH, LH = LJ, MG = MJ
Since HG = 136, KH = ½ of 136 = 68.
The two options that are true are:
B. ZJ = 85
C. KH = 68
Answer:
5) ∅ =3.94°
6) ∅ = 22.19°
Step-by-step explanation:
5) tan ∅ = 3.9/56.67
tan ∅ = 0.0688
∅ =3.94°
6) cos ∅ = 250/270 (500/2 = 250)
cos ∅ = 0.9259
∅ = 22.19°
Answer:
Step-by-step explanation:
This problem tests your understanding of order of operations rules.
Here you must do any work inside parentheses first, followed by multiplication, followed by subtraction:
5(13) - 3(2 -1) would be 65 -3(1), or 62.
If you actually meant 5(1 - 3) - 3(2 - 1), then you'd have
5(-2) - 3(1) = -10 - 3 = -13
Please compare the problem you've shared with the original problem, to ensure that these match.
Answer:
There is not enough evidence to support the claim that union membership increased.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 400
p = 12.5% = 0.125
Alpha, α = 0.05
Number of women belonging to union , x = 52
First, we design the null and the alternate hypothesis
The null hypothesis sates that 12.5% of U.S. workers belong to union and the alternate hypothesis states that there is a increase in union membership.
This is a one-tailed(right) test.
Formula:
Putting the values, we get,
Now, we calculate the p-value from the table.
P-value = 0.3812
Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.
Conclusion:
Thus, there is not enough evidence to support the claim that union membership increased.