3+8x-2y-x+1+4y
Combine all like terms and
7x+4+2y is your answer
K+3=-9
k=-12 is the answer
Answer:it will take 200 kilometers for the costs to be the same.
Step-by-step explanation:
Let x represent the number of kilometers that Andrea would have to drive for the total cost of renting from both companies to be the same.
Action trucks charges $80 for the day plus $0.22 per kilometer. It means that the total cost of x miles would be
80 + 0.22x - - - - - - - - - 1
Truck experts charges $100 for the day plus $0.12 per kilometer. It means that the total cost of x miles would be
100 + 0.12x - - - - - - - - - 2
Therefore, for the cost of renting from both companies to be the same,
80 + 0.22x = 100 + 0.12x
0.22x - 0.12x = 100 - 80
0.1x = 20
x = 20/0.1 = 200
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
