Answer:
The completed proof is presented as follows;
The two column proof is presented as follows;
Statements
Reason
1.
║
, J is the midpoint of
1. Given
2. ∠IHJ ≅ ∠JLK
2. Alternate angles are congruent
3. ∠IJH ≅ ∠KJL
3. Vertically opposite angles
4.
≅
4. Definition of midpoint
5. ΔHIJ ≅ ΔLKJ
5. By ASA rule of congruency
Step-by-step explanation:
Alternate angles formed by the crossing of the two parallel lines
and
, by the transversal
are equal
Vertically opposite angles formed by the crossing of two straight lines
and
are always equal
A midpoint divides a line into two equal halves
Angle-Side-Angle, ASA rule of congruency states that two triangles ΔHIJ and ΔLKJ, that have two congruent angles, ∠IHJ in ΔHIJ ≅ ∠JLK
in ΔLKJ and ∠IJH in ΔHIJ ≅ ∠KJL in ΔLKJ, and that the included sides between the two congruent angles is also congruent
≅
, then the two triangles are congruent, ΔHIJ ≅ ΔLKJ.
Answer:
perpendicular
Step-by-step explanation:
Answer: State that y = 430-x, and substitute it into the second equation 6x +4.5(430-x)= 2175.
Solve for x. Then plug in what you get for x into the x+y=430 equation and solve for y. Your number of adult tickets should equal 160, and your number of child tickets should equal 270.
Step-by-step explanation:
If you dont follow the right steps in the right order or properly, you won't end up with the right answer:
For example 3 x 5 + 7
If you do multiplication then add you get 22 which is correct.... but!!
If you add then do multiplication you get 36 which isn't right
Remember always follow PEMDAS
P-Parenthesis
E-Exponents
M or D- Multiplication or division (go left to right)
A or S- Addition or Subtraction (go left to right)
I think c or A is the answer