Answer: a. 126 in³.
What is the volume of a rectangular prism with length equal to 13,width equal to 6 and height equal to 4
1 answer:
Given:
Length of the rectangular prism = 13 units.
Width of the rectangular prism = 6 units.
Height of the rectangular prism = 4 units.
To find:
The volume of the rectangular prism.
Solution:
We know that the volume of the rectangular prism is:
Where, l is length, b is breadth or width and h is the height of the rectangular prism.
Putting in the above formula, we get
Therefore, the volume of the given rectangular prism is 312 cubic units.
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Answer:
I believe the answer would be option D
Step-by-step explanation:
the distance formula is
So, substituting the values of the coordinates, you will get the answer of D
Answer:
The correct option is;
C. 3. ∠BDE ≅∠BAC, Corresponding Angles Postulate 4. ∠B ≅ ∠B Reflexive Property of Equality
Step-by-step explanation:
The two column proof can be written as follows;
Statement, Reason
1. , Given
2. is a transversal , Conclusion from statement 1.
We note that ∠BDE and ∠BAC are on the same side of the transversal relative to the parallel lines, and are therefore, corresponding angles.
Therefore, we have;
3. ∠BDE ≅∠BAC, Corresponding Angles Postulate
Also
4. ∠B ≅ ∠B, Reflexive Property of Equality
In the two triangles, ΔABC and ΔDBE, we have ∠BDE ≅∠BAC and ∠B ≅ ∠B,
From ∠BDE + ∠B + ∠BED = 180°
∠BAC + ∠B + ∠BCA = 180°
Therefore, ∠BED = ∠BCA Substitution property of equality
Which gives;
5, ΔABC ~ ΔDBE, Angle Angle Similarity Postulate
6. BD/BA = BE/BC, Converse of the Side-Side-Side Similarity Theorem