Hey ! i’m pretty sure it’s 166 :)
Answer:
-1 degree
Step-by-step explanation:
1.) Subtract 19 from 14.
14 - 19 = -5
2.) Add 4 to -5.
-5 + 4 = -1
Final temperature: -1 degree
Combine points A with C and A with B. Consider ΔABD and ΔACD:
1. AD is common side, then ![AD\cong AD;](https://tex.z-dn.net/?f=%20AD%5Ccong%20AD%3B%20)
2.
- given in the diagram;
3.
.
By SAS Postulate,
. Congruent triangles have congruent corresponding sides and congruent corresponding angles, so
.
From this proof you can see that correct choice is option D (In triangles ABD and ACD, two sides and an included angle are equal.)
Answer: 6.55
Step-by-step explanation:
Answer:
<u><em>Based on two Pythagorean Identities:</em></u>
- 1 + tan²θ = sec²θ
- 1 + cot²θ = csc²θ
sec²θ(1 - cot²θ)
= sec²θ - sec²θ · cot²θ
![=\frac{1}{cos ^{2} \theta} -\frac{1}{cos ^{2}\theta }*\frac{cos ^{2}\theta}{sin^{2} \theta}\\\\=\frac{1}{cos ^{2}\theta }-\frac{1}{sin^{2}\theta }\\\\=sec^{2}\theta-csc^{2}\theta\\\\=1+tan^{2}\theta-(1+cot^{2}\theta)\\\\=1+tan^{2}\theta-1-cot^{2}\theta\\\\=tan^{2}\theta-cot^{2}\theta](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7Bcos%20%5E%7B2%7D%20%5Ctheta%7D%20-%5Cfrac%7B1%7D%7Bcos%20%5E%7B2%7D%5Ctheta%20%7D%2A%5Cfrac%7Bcos%20%5E%7B2%7D%5Ctheta%7D%7Bsin%5E%7B2%7D%20%5Ctheta%7D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7Bcos%20%5E%7B2%7D%5Ctheta%20%7D-%5Cfrac%7B1%7D%7Bsin%5E%7B2%7D%5Ctheta%20%7D%5C%5C%5C%5C%3Dsec%5E%7B2%7D%5Ctheta-csc%5E%7B2%7D%5Ctheta%5C%5C%5C%5C%3D1%2Btan%5E%7B2%7D%5Ctheta-%281%2Bcot%5E%7B2%7D%5Ctheta%29%5C%5C%5C%5C%3D1%2Btan%5E%7B2%7D%5Ctheta-1-cot%5E%7B2%7D%5Ctheta%5C%5C%5C%5C%3Dtan%5E%7B2%7D%5Ctheta-cot%5E%7B2%7D%5Ctheta)