Answer:
71s
Step-by-step explanation:
The question we have at hand is 7s² + ___ + 13s + 6² = (7s + 6)². We can expand the perfect equation " (7s + 6)² " in order to find our solution. A perfect square consists of 3 terms, and hence the term in the blanks must add to 13s to form another term.
Applying the perfect square formula : ( a + b )² = a² + 2ab + b², let's expand the expression,
(7s + 6)² = ( 7s )² + 2( 7s )( 6 ) + ( 6 )² = 7s² + 84s + 6²
84s - 13s = 71s, which fills in the blank provided.
Multiply the dimensions by 1.5 and Pamela's suitcase becomes 42" x 24" x 12".
<span>Volume of 28" x 16" x 8": 3584 in^3 </span>
<span>Volume of 42" x 24" x 12": 12,096 in^3 </span>
<span>The volume ratio is 3.375, and yes, you have to cube it.</span>
A)
To be similar triangles have to have equal angles
triangle ZDB'
1)angle Z=90 degrees
triangle B'CQ
1) angle C 90 degrees
angle A'B'Q=90
DB'Z+A'B'Q+CB'Q=180, straight angle
DB'Z+90+CB'Q=180
DB'Z+CB'Q=90
triangle ZDB'
DZB'+DB'Z=180-90=90
DB'Z+CB'Q=90
DZB'+DB'Z=90
DB'Z+CB'Q=DZB'+DB'Z
2)CB'Q=DZB' (these angles from two triangles ZDB' and B'CQ )
3)so,angles DB'Z and B'QC are going to be equal because of sum of three angles in triangles =180 degrees and 2 angles already equal.
so this triangles are similar by tree angles
b)
B'C:B'D=3:4
B'D:DZ=3:2
CQ-?
DC=AB=21
DC=B'C+B'D (3+4= 7 parts)
21/7=3
B'C=3*3=9
B'D=3*4=12
B'D:DZ=3:2
12:DZ=3:2
DZ=12*2/3=8
B'D:DZ=CQ:B'C
3:2=CQ:9
CQ=3*9/2=27/2
c)
BC=BQ+QC=B'Q+QC
BQ' can be found by pythagorean theorem
