Triangle Congruence Theorems
Use the triangle congruence theorems below to prove that two triangles are congruent if:
Three sides of one triangle are congruent to three sides of another triangle (SSS: side side side)
Two sides and the angle in between are congruent to the corresponding parts of another triangle (SAS: side angle side)
Two angles and the side in between are congruent to the corresponding parts of another triangle (ASA: angle side angle)
Two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle (AAS: angle angle side)
The hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle (HL: hypotenuse leg)
Answer:
35 ways
Step-by-step explanation:
Alex has 9 friends and wants to invite 5 friends. Since Alex requires two of his friends who are twins to come together to his birthday party, since the two of them form a group, the number of ways we can select the two of them to form a group of two is ²C₂ = 1 way.
Since we have removed two out of the nine friends, we are left with 7 friends. Also, two friends are already selected, so we are left with space for 3 friends. So, the number of ways we can select a group of 3 friends out of 7 is ⁷C₃ = 7 × 6 × 5/3! = 35 ways.
So, the total number ways we can select 5 friend out of 9 to party come to the birthday include two friends is ²C₂ × ⁷C₃ = 1 × 35 = 35 ways
Write and simplify the expression:
3(n-6)+4n
3n-18+4n
7n-18
Solution: 7n-18
I hope I helped you with your solution! If you could give me brainliest, I would be very thankful!
Answer:
The larger angle is 143
Step-by-step explanation:
x + y = 180 (This is the meaning of supplementary. Two angles make up 180 degrees)
4x - 5 = y
x + (4x - 5) = 180 Remove the brackets.
x + 4x - 5 = 180
5x - 5 = 180 Add 5 to both sides
5x - 5 +5 = 180 + 5 Combine
5x = 185 Divide by 5
5x/5=185/5
x = 37
y = 4*37 - 5
y = 148 - 5
y = 143