Answer: AB=√17, AD=√98,6
Step-by-step explanation:
AB²=BC²+AC²-2*BC*AC*cosACB
AB²=5²+4²-2*5*4*0,6=25+16-24=17
AB=√17
AD²=AC²+CD²-2*AC*CD*cosACD
cosACD=cos(180°-ACB)=-cosACB
AD²=4²+7²-2*4*7*(-0,6)=16+49+33,6=98,6
AD=√98,6
rearrange the equation to where you set it equal to 0 by moving the 25 over.
n2 - 8n -9 = 0
now factor
(n-9)(n+1)
so n1 = 9
n2 = -1
Answer:
B. 
Step-by-step explanation:
The hypotenuse leg theorem (HL) requires the proof that the hypotenuse and the corresponding leg of the triangles to be equal in length. From the diagram, it can be found that
is a common (shared) side of both triangles, so the additional fact needed is for the hypotenuses to be the same length.
∴
is the additional fact needed to prove 
Hope this helps :)
Answer:
A" (3,3)
B" (3,5)
C" (5,7)
D" (5,1)
Yes they are congruent as they are similar and have the same shape and size.
Step-by-step explanation:
-y,x is the formula for a 90° counter clockwise rotation, And since the shape nor size doesnt change it is congruent.
The answer is......... 27