Explanation:
Only the reasons need be given here, as the statements are already given in your figure.
- Given
- Given
- Given
- Definition of congruent line segments
- Symmetric property of congruence
- Addition and substitution properties of equality*
- Segment addition theorem
- Definition of congruent line segments
- AAS congruence postulate
_____
* The addition property says if A=B, then A+C=B+C. The substitution property further says if C=D, then A+C=B+D (D can be substituted for C). IMO, both properties are needed together to get from A=B and C=D to A+B=C+D.
x = 6
Step-by-step explanation:
It's based on similarity of triangles
DEF ~ △XYZ
The sides should be taken in order, like the triangles start with DE and XY so, we'll proportionate DE and XY and then the next two sides and so on.
I'm using 
to get the value of x.
[You can use any two fractions out of the three given above. ]
Hence, the value of x is 6.
Answer:
7c + 6s - 63
Step-by-step explanation:
7c - 18 + 6s - 45
Combine like terms
7c + 6s - 63
area = l x w
area = 9 x 9
area = 81
Hope this was helpful. :-)
Answer:
2.5
Step-by-step explanation:
The computation of the XW is shown below
As triangle UVX is a right angle
So
VU^2 = XU^2 - VX^2
VU^2 = 15.7^2 - 8.5^2
VU^2 = 246.49 - 72.25
VU^2 = 174.24
VU = 13.2
As VU = WX because of same point tangent
NOw XW is
= UX - UW
= 15.7 - 13.2
= 2.5
