Answer: x + 2x + x-40 = 180
First angle= 55º
Second angle= 110º
Third angle= 15º
Step-by-step explanation: The sum of the angles of a triangle is 180º
Take the values given and use x as the unknown first angle. then create terms for the other two angles based on that:
The second angle of a triangle is double the first angle becomes 2x
The third angle is 40 less than the first angle becomes x-40
x + 2x + x-40 = 180 Solve by adding like terms . x + 2x + x = 4x
4x -40 = 180 Add 40 to both sides to "cancel" the -40 on the left
4x + 40 -40 = 180 + 40 becomes
4x = 220 Divide both sides by 4 to "cancel" the 4 on the left side
4x/4 = 220/4
x = 55 This is the first angle. Substitute 55 for the "x" in the original terms
2(55) = 110 The second angle
(55) -40 = 15 the third angle
Answer:
The length of CI is 10 units.
Step-by-step explanation:
It is given that ABCD is a parallelogram and diagonals AC and BD intersect at point I.
The diagonals of a parallelogram bisect each other.
![[\because AI=CI]](https://tex.z-dn.net/?f=%5B%5Cbecause%20AI%3DCI%5D)
The value of x is 12.
Therefore the length of CI is 10 units.
Answer:
c ≈ 6.08 m
Step-by-step explanation:
Your question is how to solve for a missing side length of a triangle when given 2 sides length and an angle. The side length can be solved using the cosine rule . We use cosine rule to find the length of a side of a triangle when given two sides and an included angle.
The cosine rule formula for finding a side length are as follows
c² = a² + b² - 2ab cosC
b² = a² + c² - 2ac cosB
c² = a² + b² - 2ab cosC
Using cosine rule
c² = 4² + 3² - 2 × 4 × 3 cos 120°
c² = 16 + 9 - 24 cos 120°
c² = 25 - 24 (-0.5)
c² = 25 + 12
c² = 37
square root both sides
c = √37
c = 6.0827625303
c ≈ 6.08 m
Answer: List of the angles from smallest to largest are C, B and A
Step-by-step explanation:
The diagram of triangle ABC is shown in the attached photo. Since none of the sides are equal, then it is a scalene triangle.
From the information given,
AB = m – 2
BC = m + 4
AC = m
It means that the longest side is BC, the medium side is AC and the shortest side is AB. Therefore,
The smallest angle is angle C.
The medium angle is angle B.
The largest angle is angle A
