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:
465.5
Step-by-step explanation:
If you plug in the numbers into the formula.
base 1= 15
base 2= 34
height= 19
6x - 10(x + 12) = -4x - 24
<em><u>Distributive property.</u></em>
6x - 10x - 120 = -4x - 24
<em><u>Add 10x to both sides.</u></em>
6x - 120 = 6x - 24
<em><u>Cancel like terms.</u></em>
<em>Add 24 to both sides.</em>
-96 ≠ 0.
This equation is incorrect, as -96 will never be equal to 0.
If this question is about percent whole and part then the answer is
Answer:
99
Step-by-step explanation:
Area of trapezium = 1/2 × (sum of parallel sides × height)
The parallel sides of the trapezium are the left and right edge.
( 9 + 13) = 22
The height is the vertical distance between the parallel sides and when you turn the shape 90degrees towards the left, we would have the parallel sides been the bottom and top edge and the vertical height between will be 9
Hence the area = 1/2 × 22 × 9
= 11 ×9 = 99
You would add the unit if measure.
