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: 1 over 20
Step-by-step explanation: If the spinner has 5 parts to it at purple is one of those parts then the spinner has a 1/5 chance of it landing there.
If there are 4 cards and 1 of them are pink then there is a 1/4 chance of picking pink(if done randomly)
So if we mutiply 1/4 and 1/5, we get 1/20
That is how I arrived at my answer of 1 over 20
Answer:
$105
Step-by-step explanation:
3x5=15
6x5= 30
2x5=10
4x5=20
6x5=30
15+30+10+20+30
=$105
Answer:
the number of vegetables did farmer bring in the market is 1764 vegetables
Step-by-step explanation:
The computation of the number of vegetables did farmer bring in the market is shown below:
= 18 bags × 42 kgs + 28 bags × 36 kgs
= 756 + 1008
= 1764 vegetables
Hence, the number of vegetables did farmer bring in the market is 1764 vegetables
