The rock hard company is going to transport truckloads of stones to a highway project. It will cost $4200 to rent trucks, and it
1 answer:
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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: 20 meters.
Step-by-step explanation:
The formula for calculate the area of a square is:
Where "s" is the side length of the square:
The formula for calculate the area of a rectangle is:
Where "l" is the lenght and "w" is the width.
Based on the information provided, you know the sum of the areas of the square land and the adjacent land is 600 m². This is:
Knowing that the width of the adjacent land is 10 meters:
Since the lenght of the adjacent land and the side lenght of his actual land are equal:
You can substitute this into :
Applying the Quadratic formula, you get:
Since the side lenght cannot be negative, you can determine that this is: