<u>Let's take this problem step-by-step</u>:
<u>The ;unlabeled angle' adjacent to the 'outside angle of measure 78°'</u>
⇒ is on a straight line
⇒ sum of angle measure = 180 degrees
![unlabeled_.angle+78 = 180\\unlabeled_.angle = 102](https://tex.z-dn.net/?f=unlabeled_.angle%2B78%20%3D%20180%5C%5Cunlabeled_.angle%20%3D%20102)
<u>Now we know:</u>
⇒ sum of all angles in a triangle ⇒ 180°
<u>Let's put that in equation form and solve:</u>
![x + 102 + 57=180\\x + 159=180\\x = 21](https://tex.z-dn.net/?f=x%20%2B%20102%20%2B%2057%3D180%5C%5Cx%20%2B%20159%3D180%5C%5Cx%20%3D%2021)
<u>Answer: 21°</u>
<u></u>
Hope that helps!
#LearnwithBrainly
Answer:
![f'(x) = \frac{24x^{5} \cos x + 20x^{6}\sin x}{\cos^{6}x }](https://tex.z-dn.net/?f=f%27%28x%29%20%3D%20%5Cfrac%7B24x%5E%7B5%7D%20%5Ccos%20x%20%2B%2020x%5E%7B6%7D%5Csin%20x%7D%7B%5Ccos%5E%7B6%7Dx%20%7D)
Step-by-step explanation:
We have to find the derivative of the following function:
Now, differentiating both sides with respect to x we get,
⇒
(Answer)
{Since, we know that,
and
}
Answer:
.375
Step-by-step explanation:
((3/4)/1)/2 = 0.375
Hope it helps
Answer: 142°
Step-by-step explanation:
∡BAC= 38°
∡BAN= 180°-38° = 142°