Answer:
88°
Step-by-step explanation:
Since we have 2 parallel lines, first we use the Corresponding Angles Postulate.
Since angle 2 is corresponding to the 92° angle,
angle 2 = 92°
Now we know that angle 1 and angle 2 are supplementary.
This means:
angle 1 + angle 2 = 180°
<em>(substitute known values)</em>
angle 1 + 92 = 180
<em>(subtract 92 on both sides)</em>
<h2>
angle 1 = 88°</h2><h2>
</h2>
Hope this helps, please say thanks if it does!
Answer:
<h2>
The right option is twelve-fifths</h2>
Step-by-step explanation:
Given a right angle triangle ABC as shown in the diagram. If ∠BCA = 90°, the hypotenuse AB = 26, AC = 10 and BC = 24.
Using the SOH, CAH, TOA trigonometry identity, SInce we are to find tanA, we will use TOA. According to TOA;
Tan (A) = opp/adj
Taken BC as opposite side since it is facing angle A directly and AC as the adjacent;
tan(A) = BC/AC
tan(A) = 24/10
tan(A) = 12/5
The right option is therefore twelve-fifths
Answer : 254 ft sq
A = pi x r^2
A = 3.14 x 81
The answer is 6x^2+11x-35
Answer:
0.0208<p<0.0592
Step-by-step explanation:
-Given the sample size is 400 and the desired proportion is 16.
-The confidence interval can be determined as follows:
#We the use this proportion to find the CI at 95%:
![CI=0.04\pm 1.96\times \sqrt{\frac{0.04(1-0.04)}{400}}\\\\=0.04\pm 0.0192\\\\=[0.0208,0.0592]](https://tex.z-dn.net/?f=CI%3D0.04%5Cpm%201.96%5Ctimes%20%5Csqrt%7B%5Cfrac%7B0.04%281-0.04%29%7D%7B400%7D%7D%5C%5C%5C%5C%3D0.04%5Cpm%200.0192%5C%5C%5C%5C%3D%5B0.0208%2C0.0592%5D)
Hence, the 95% confidence interval is 0.0208<p<0.0592
