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
Answer:
13 * r
Step-by-step explanation:
If each member sells the same number of raffle tickets, then 13r would show that each of the 13 members will have sold <em>r</em> raffle tickets each. The expression is multiplication.
Answer:
38.9
Step-by-step explanation:
Answer: 48 feet below the surface
Step-by-step explanation:
From the question, we are informed that two divers are underwater. Nick is 33 feet below the surface while Tristan is 15 feet above him.
Tristan's depth will be represented as x.
Therefore, x - 33 = 15
x = 15 + 33
x = 48
Therefore, the answer is 48 feet below the surface.
