darcy is finding the product of 11 and 17 using the distributive property. she set up the problem as 11 × (10 7). what would she
2 answers:
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Answer:
Step-by-step explanation:
The volume of a cube can be found with this formula:
Where "s" is the lenght of any edge of the cube.
The formula for calculate the volume of a rectangular prism is:
Where "l" is the lenght, "w" is the width and "h" is the height.
We need to find the volume of a cube box:
To find the volume of the shipping box, first we must convert the mixed number to an improper fraction:
Then the volume of the shipping box is:
Now, in order to find the number of cube boxes can Haley fits into a shipping box, you must divide the the volume of the shipping box by the volume of one cube. This is:
Answer:
Given :
ABC is a right triangle in which ∠ABC = 90°,
Also, Legs AB and CB are extended past point B to points D and E,
Such that,
To prove :
Proof :
In triangles AEC and EBA,
∠EAC= ∠ABE ( right angles )
∠CEA = ∠AEB ( common angles )
By AA similarity postulate,
,
Similarly,
Now, In triangles ADC and CBD,
∠ACD = ∠CBD ( right angles )
∠ADC= ∠BDC ( common angles )
By AA similarity postulate,
,
Similarly,
From equations (1) and (2),
The corresponding sides of similar triangles are in same proportion,
Hence, proved....
