I started this one then got busy with other things.
z and 71 deg form a same side interior pattern
they're supplementary angles
sum to 180 degrees
z + 71 = 180
z = 180 - 71
z = 109 degrees
z and x are alternate angles
their measures are the same
z = 109 deg so x = 109 deg
y and 71 deg form adjacent angles which are supplementary
sum to 180 degrees
y = 180 - 71 = 109 deg
x = 109 deg, y = 109 deg, z = 109 deg
Part b
w and 88 form a supplementary pair
they add to 180 deg
w = 180 - 88 = 92 deg
v and 101 deg are vertical or opposite angles
They are congruent
So v = 101 deg
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Answer: 12
Explanation: I counted
I hope this helped!
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- Zack Slocum
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Answer:
Hence, data does not suggest the true average gap detection threshold for CTS subjects exceeds that for normal subjects.
Step-by-step explanation:
H0 : μ1 = μ2
H1 : μ1 < μ2
Given :
m = 8 ; x1 = 1.71 ; s1 = 0.53
n = 10 ; x2 = 2.53 ; s2 = 0.87
The test statistic :
(x1 - x2) / √(s1²/m + s2²/n)
(1.71 - 2.53) / √(0.53²/8 + 0.87²/10)
-0.82 / √0.1108025
Test statistic = - 0.82 / 0.3328700
Test statistic = - 2.463
The degree of freedom using the conservative approach :
Smaller of (10 - 1) or (8 - 1)
df = 7
TCritical value(0.01, 7) = 2.998
Decision region :
Reject H0 if |Test statistic| > |critical value|
Since, 2.463 < 2.998 ; WE fail to reject H0 ; Hence result is not significant at α = 0.01
Answer:
10q
Step-by-step explanation:
X + y = 17
x - y = 29
x = 17 - y
x - y = 29
x = 17 - y
17 - y - y = 29
x = 17 - y
17 - 2y = 29
x = 17 - y
- 2y = 29 - 17
x = 17 - y
-2y = 12
x = 17 - y
y = -6
x = 17 - (-6)
y = -6
x = 17 + 6
y = -6
x = 23
y = -6
