Supplementary angles add up to 180 degrees
The value of x is 17
The given parameters are:
![FDE = 3x - 15](https://tex.z-dn.net/?f=FDE%20%3D%203x%20-%2015)
![FDB = 5x + 59](https://tex.z-dn.net/?f=FDB%20%3D%205x%20%2B%2059)
Because the angles are supplementary, then:
![FDE + FDB = 180](https://tex.z-dn.net/?f=FDE%20%2B%20FDB%20%3D%20180)
So, we have:
![3x - 15 + 5x + 59 = 180](https://tex.z-dn.net/?f=3x%20-%2015%20%2B%205x%20%2B%2059%20%3D%20180)
Collect like terms
![3x + 5x = 15 - 59 + 180](https://tex.z-dn.net/?f=3x%20%2B%205x%20%3D%2015%20%20-%2059%20%2B%20180)
![8x = 136](https://tex.z-dn.net/?f=8x%20%3D%20136)
Divide both sides by 8
![x = 17](https://tex.z-dn.net/?f=x%20%3D%2017)
Hence, the value of x is 17
Read more about supplementary angles at:
brainly.com/question/19281924
Answer:
54
Step-by-step explanation:
Answer:
ΔABC is not a right- angled triangle
Step-by-step explanation:
Given AB = 8, BC = 5
Then AC = 22 - (8 + 5) = 22 - 13 = 9 cm
Using the converse of Pythagoras' identity
If the square of the longest side equals the sum of the squares of the other 2 sides then triangle is right.
AC² = 9² = 81
AB² + BC² = 8² + 5² = 64 + 25 = 89
81 ≠ 89, hence ΔABC is not right- angled
Answer:
5^2+10^2+3^2+6^2=23^2? correct me if I'm wrong