<h2>
Answer: 55 degrees</h2>
Step-by-step explanation:
Every triangle has 3 sides and 3 interior angles whose measures sum to 180 degrees. For example, a triangle with angles
,
and
:
![\theta+\alpha+\beta=180\º](https://tex.z-dn.net/?f=%5Ctheta%2B%5Calpha%2B%5Cbeta%3D180%5C%C2%BA)
Following this rule, we will apply it to the angles XYZ, YXZ and the unknown XZY:
![XYZ+YXZ+XZY=180\º](https://tex.z-dn.net/?f=XYZ%2BYXZ%2BXZY%3D180%5C%C2%BA)
![50\º+75\º+XZY=180\º](https://tex.z-dn.net/?f=50%5C%C2%BA%2B75%5C%C2%BA%2BXZY%3D180%5C%C2%BA)
![XZY=180\º-50\º-75\º](https://tex.z-dn.net/?f=XZY%3D180%5C%C2%BA-50%5C%C2%BA-75%5C%C2%BA)
Finally:
![XZY=55\º](https://tex.z-dn.net/?f=XZY%3D55%5C%C2%BA)
Your answer is three out of the people in your school.
Step-by-step explanation:
In ∆ABC, m∠B = 90°
Therefore ∆ABC is a right angled triangle with sides AB = 4 & BC = 3. AC is the hypotenuse.
Hence, by Pythagoras theorem:
![AC^2 = AB^2 +BC^2 \\ \\ \therefore \: AC = \sqrt{AB^2 +BC^2 } \\ = \sqrt{ {4}^{2} + {3}^{2} } \\ = \sqrt{16 + 9} \\ = \sqrt{25} \\ = 5 \\ \\ \huge \red{ \boxed{ \therefore \: AC = 5 \: units}}](https://tex.z-dn.net/?f=AC%5E2%20%3D%20AB%5E2%20%2BBC%5E2%20%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20AC%20%3D%20%20%5Csqrt%7BAB%5E2%20%2BBC%5E2%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B%20%7B4%7D%5E%7B2%7D%20%2B%20%20%7B3%7D%5E%7B2%7D%20%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B16%20%2B%209%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B25%7D%20%20%5C%5C%20%20%3D%205%20%5C%5C%20%20%5C%5C%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%20%5Ctherefore%20%5C%3A%20AC%20%3D%205%20%5C%3A%20units%7D%7D)
Answer:
1
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.
Trigonometric functions are used to show the relationship between the angles of a triangles and the sides of the triangle. For a right angled triangle, the ratio of the sides can be gotten using trigonometric functions such as:
cosθ = adjacent/hypotenuse, sinθ = opposite/hypotenuse, tanθ = opposite/adjacent
Given the right angle triangle:
cos(A) = adjacent / hypotenuse = 3 / 4.24
cos(A) = 3 / 4.25
cos(B) = adjacent / hypotenuse = 3 / 4.24
cos(B) = 3 / 4.24
cos(A) / cos(B) = (3 / 4.24) ÷ (3 / 4.24) = 1
cos(A) / cos(B) = 1
Step-by-step explanation:
I don't have my wallet on me. Tho could you further explain?