Answer:
55⁰
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. There are different types of triangles such as isosceles triangle, equilateral triangle, scalene triangle, right angled triangle.
The law of cosines states that for a triangle with sides a, b and c and the corresponding angles opposite to the sides which are A, B and C. Then:
a² = b² + c² – 2bccos(A)
Let ML = a = 5.74, LN = b = 4, MN = c = 7.
∠N is opposite to side ML. Let ∠N be A, hence:
a² = b² + c² – 2bccos(A)
2bc* cos(A) = b² + c² – a²
Substituting:
2(4)(7) * cos(A)= 4² + 7² - 5.74²
56cos(A) = 32.0524
cos(A) = 0.5723
A = cos⁻¹(0.5723)
A = 55⁰
A = ∠N = 55⁰
Answer:
(-1,1)(2,-8)
Step-by-step explanation:
-1-2=-3
1-8=-7
the slope of the line is (-3,-7)
correct me if i am wrong and also refresh your screen because i had changed my answer after i had noticed the second plotted point
The answer is 5/12 because 1/6 converts to 2/6 and 7/12-2/6 is equal to 5/12
0,-3
To work this out I would use the midpoint formula. (x1+x2)/2 , (y1+y2)/2
Therefore, (3+-9)/2 , (-4+0)/2
= -6/2. , -4/2
= -3 , -2
Now we know the half way point from AB, now we will use the same formula but instead of point B we will substitue the midpoint to work out the 1/4 point
Therefore, (3+-3)/2, (-4+-2)/2
=. 0/2, -6/2
=. 0, -3
Therfore the 1/4 way point from AB is 0,-3
Since we know that there are exactly 180 degrees in any triangle, and if each angle is equal to 45 degrees, we must add 45 to 45 and then subtract the result from 180 to find the 3rd angle. Since 45+45=90,we subtract 180-90 and get 90 degrees or a right angle.