Answer:Refer to the image attached.
Given: and are congruent.
To Prove: ABC is an isosceles triangle.
Construction: Construct a perpendicular bisector from point B to Line segment AC.
Consider triangle BAD and BCD,
(given)
(By the definition of a perpendicular bisector)
(By the definition of a perpendicular bisector)
Therefore, by Angle Side Angle(ASA) Postulate.
Line segment AB is congruent to Line segment BC because corresponding parts of congruent triangles are congruent.(CPCTC)
Step-by-step explanation:
Answer:
n = 7
Step-by-step explanation:
You will want to add all common factors with each other.
So that would be n + 3n + 5n which would be 9n.
Then -8 + 1 would be -7. So now it should be 9n - 7.
You are going to set 56 equal to 9n - 7, so that would be 9n - 7 = 56.
After that, you will have to leave 9n alone by itself, so you would have to add 7 to both sides. Your final equation should be 9n = 63.
After that, you should divide both sides by 9 since you want n alone.
So 63 ÷ 9 would be 7. So at the end, <u>n = 7.</u>
The experimental probability would be 33 out of 60 or 55%