Answer:
7x +2y =24 --------- (i)
8x +2y= 30 ---------(ii)
Subtracting eqn. (i) & (ii)
7x +2y =24
8x +2y= 30
- - -
___________
-x = - 6
Putting the value of x in eqn. (i)
7*6 +2y =24
42 +2y =24
2y =-18
y = - 9
Hence, x=6 and y= - 9
Hope it helps!!
To solve this, add 17 to both sides:
x = -25 + 17
x = -8
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
Step Number 1. is to Simplify
Step Number 2. <span>Simplify so you get </span>
Done! :)
Consider, pls, the suggested option (see the attachment).
