Answer:
13) B
14) A
Step-by-step explanation:
13) Knowing that the interior angles of a triangle add up to 180, we can see that angle A is 53°. To find length c, we can use either sine or cosine. Let's use sine:
sin 37° = b/c = 15.9/c ---> c = 15.9/sin 37 = 26.4
To solve for side a, use cosine:
cos 37° = a/26.4 ---> a = 26.4cos37 = 21.1
14) Again, knowing that the interior angles of a triangle add up to 180, we know that angle B is 52°. This time,let's use cosine (although you may choose sine if you want):
cos 38° = b/16 ---> b = 16cos38 = 12.6
To find side a, use sine:
sin 38° = a/16 ---> a = 16sin38 = 9.9
Answer with explanation:
Properties of Rectangle
1. Opposite sides are equal and parallel.
2. Diagonals are equal and bisect each other.
3. Adjacent Sides are Perpendicular to each other.
→If two lines are parallel their slopes are equal and if two Lines are perpendicular, their product of slopes is -1.
→A Rectangle is a Quadrilateral also.
→Adjacent sides are perpendicular ,so , their slopes can't be equal.Product of their slopes should be equal to ,-1.
⇒Slope of AB × Slope of BC = -1
⇒Also, Slope of AB × Slope of BC = -1
Slope of AB × Slope of AD = -1
⇒ Slope of AD × Slope of CD = -1
Slope of CB × Slope of CD = -1
Option B And Option C
are statement which proves that polygon ABCD is not a rectangle.
Answer:
Step-by-step explanation:
![(x+1-i)(x+1+i)\\\\=(x+1)^2 -i^2~~~~~~~~~~~~~;[a^2 -b^2 = (a+b)(a-b)]\\\\=x^2 +2x +1 -(-1)\\\\=x^2 +2x +1+1\\\\=x^2 +2x +2](https://tex.z-dn.net/?f=%28x%2B1-i%29%28x%2B1%2Bi%29%5C%5C%5C%5C%3D%28x%2B1%29%5E2%20-i%5E2~~~~~~~~~~~~~%3B%5Ba%5E2%20-b%5E2%20%3D%20%28a%2Bb%29%28a-b%29%5D%5C%5C%5C%5C%3Dx%5E2%20%2B2x%20%2B1%20-%28-1%29%5C%5C%5C%5C%3Dx%5E2%20%2B2x%20%2B1%2B1%5C%5C%5C%5C%3Dx%5E2%20%2B2x%20%2B2)
The answer should be 103. Because the interior angles of all triangles add up to 180 degrees, you can just add together the two known interior angles; subtract them from 180; and then find the supplement.
