Answer:
So basically the answer is where the lines intersect if they do not intersect there is no solution if they are on top of one another it is infinite solutions
Step-by-step explanation:
You're given two angles and the side not between them are congruent, so the AAS theorem applies. (2nd selection)
Answer:
A is correct because 1 and 3 are vertical angles.
B is correct because there are 180 degrees in a triangle. 180-65-55 = 60. Angle 2 is vertical to the third angle, so angle 2 equals 60.
C is incorrect because it is an exterior angle. Exterior angles are equal to the sum of the two isolated interior angles. 65 + 55 ≠ 60.
D is correct because 3 is an exterior angle. Exterior angles are equal to the sum of the two isolated interior angles. 65 + 55 = 120.
In review, A, B, and D are correct.
I hope this helps you =)
Answer:
x + y = 84
Step-by-step explanation:
Given
x : y : z = 5 : 1 : 3, then
= 5 ( multiply both sides by y )
x = 5y ←
and 
= 
( cross- multiply )
3y = z
Substitute z = 3y into z - y = 28
3y - y = 28
2y = 28 ( divide both sides by 2 )
y = 14 ← ←
Substitute y = 14 into x = 5y
x = 5 × 14 = 70 ← ←
Substitute y = 14 into z - y = 28
z - 14 = 28 ( add 14 to both sides )
z = 42 ← ←
Thus x = 70, y = 14 and z = 42
Hence x + y = 70 + 14 = 84
Answer: Perimeter- 88m Area- 207sqm
Step-by-step explanation: To find the perimeter, you have to sort of split the shape into simple boxes. To find the line at the bottom, you have to add 18+11 because you can see that they match the line in the bottom. 18+11=29. You then have to find the P of the left. With the same method, you do 6+9, which equals 15. You add all of the sides together to get 88m. To find Area, you split the boxes into 2 smaller boxes. you then do 18x6 to get 108 for the top box. And 11x9 which equals 99. You add them together to get the area, 207! Hope that makes sense!!!
