Step-by-step explanation:
the 2 angles marked with orange and green are equal becos the question said that the indicated angles are congruent meaning same deg. so 180 - that given angle = the 2 marked angles (based on the rule known as angles on a str line are supplementary)
since the 2 marked angles are same, you can say that d and k are parallel due to the rule of alternate angles
Topic: angle properties
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Answer:
Step-by-step explanation:
13:6
Answer:
confidence interval for the proportion of all former UF students who are still in love with Tim Tebow.
(0.79 , 0.89)
Step-by-step explanation:
step 1:-
Given sample survey former UF students n = 1532
84% said they were still in love with Tim Tebow
p = 0.84
The survey sampling error
Given standard error of proportion = 2% =0.02
<u>Step 2</u>:-
The 99% of z- interval is 2.57
The 99% of confidence intervals are
p ± zₐ S.E (since sampling error of proportion = 
on simplification , we get
(0.84 - 0.0514 , 0.84 + 0.0514)
(0.79 , 0.89)
<u>conclusion</u>:-
confidence interval for the proportion of all former UF students who are still in love with Tim Tebow.
(0.79 , 0.89)
Step-by-step explanation:
(1\2)^4 x 1\16 x 1\8 x 1\4 [1/2^4=16]
1/16 x 1/512
=>1/2048
<span>Find the exact value of sec(-4π/3). Note that one full rotation, clockwise, would be -2pi. We have to determine the Quadrant in which this angle -4pi/3 lies. Think of this as 4(-pi/3), or 4(-60 degrees). Starting at the positive x-axis and rotating clockwise, we reach -60, -120, -180 and -240 degrees. This is in Q III. The ray representing -240 has adj side = -1 and opp side = to sqrt(3).
Using the Pyth. Theorem to find the length of the hypo, we get hyp = 2.
Thus, the secant of this angle in QIII is hyp / adj, or 2 / sqrt(3) (answer). This could also be written as (2/3)sqrt(3).
</span>
