Answer:
Step-by-step explanation:
1) (i) HG ≅ ST ; GI ≅ TR ; IH ≅ RS
ΔHGI ≅ ΔSTR by S S S congruent
(ii) ∠H ≅ ∠S ; HG ≅ ST ; ∠G ≅ ∠T
ΔHGI ≅ ΔSTR by A S A -> Angle Side Angle congruent.
3) LM ≅ XY ; MK ≅ YZ ; KL ≅ ZX
ΔLMK ≅ ΔXYZ Side Side Side congruent
∠K ≅ ∠Z ; KL ≅ ZX ; ∠L ≅ ∠X
ΔLMK ≅ ΔXYZ by Angle Side Angle congruent
Answer:
30,40,50
Step-by-step explanation:
If it is a right triangle then the pythagorean theorum would work
a^2+b^2=c^2
30^2+40^2=50^2
900+1600=2500
2500=2500
this means that 30,40,50 is the right answer
*******extra********
also 30,40,50 is a pythagorean triplet
pythagorean triplets form right angles
this one came from the original triplet of 3,4,5---just multiply by 10
Answer:
1.5
18 and 33
Step-by-step explanation:2.
c
Since they are moving in opposite directions, this is the same as Amy staying still and Erica biking at 10 meters per second away from her.
To travel 1km = 1000m at 10 meters per second, you need 1000/10 = 100 seconds.
For this case we must follow the steps below:
step 1:
We place each of the given points on a coordinate axis
Step 2:
We join the AC points (represented by the orange line)
We join the BD points (represented by the blue line)
It is observed that the resulting figure after placing the 4 points on a coordinate axis, turns out to be a rhombus.
In addition, the blue and orange lines turn out to be perpendicular, that is, they have an angle of 90 degrees between them. This can be verified by finding the slopes of each of the two straight lines (blue and orange), which must be opposite reciprocal, that is, they comply: 
In this case, the slope of the orange line is
and that of the blue line is 
Then
, it is verified that they are perpendicular.
Thus, the conclusion is that ABCD is a rhombus and AC is perpendicular to BD.
Answer:
See attached image
Option D