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
(a) 1/12
(b) 3/12=1/4
(c) 2/12 = 1/6
(d) 3/12 + 3/12 = 6/12 = 1/2
I think it’s right ???
The answer is D., a dummod deleted my answer that has alot of thanks and ratings.
Divide the two numbers. The equation is 420/15=28. So Lee would get 28 miles per gallon of gasoline. I hope this helps!
Answer:
12 if im correct
Step-by-step explanation:
first we have to see that they are doing 1/8 of a mile per hour so if we divide 1.48 by 1/8 it should give us the time
first we convert 1/8 to a decimal which is .125 and we divide 1.48 by .125
giving us 11.84
since it is time, 11 hrs would be too little of a time so we need to round up to 12
Hope thats right