It is Jamie’s birthday and her mom just bought her an Xbox. She’s trying to find the surface area of the box so she can determin
2 answers:
The dimensions of the box are given 24 inches long, 12 inches wide, and 10 inches high. The box is in the shape of a rectangular prism.
We know the formula of surface area of rectangular prism is given by :-
where l is length, w is width, and h is height of the rectangular prism.
We can plug the given values l = 24, w = 12, and h = 10 into the formula and solve it for answer.
Surface area = 2 x (24x12 + 12x10 + 10x24)
Surface area = 2 x (288 + 120 + 240)
Surface area = 2 x 648
Surface area = 1296 squared inches.
So she needs 1296 squared inches of wrapping paper.
Hence, the final answer is 1296 squared inches.
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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.