Answer: 6
Step-by-step explanation:
Slope is found by doing:

(x1 and y1 must be from the same ordered pair and x and y must be from the same ordered pair, however point (x1,y1) and (x,y) can be used interchangeably)
Let us say that (x1,y1) is (3,18)
And (x,y) is (5,30)

If we draw a rhombus OABC on a coordinate grid with one vertex at the point O (0,0)
and let its height be 1 then (using the Pythagoras theorem) the coordinates of the 4 points will be as follows:-
O = (0,0) , A = (1, 1), B = (sqrt2+ 1 , 1) , C = (sqrt2, 0)
Slope of the diagonal OB = 1 / (sqrt2 + 1)
Slope of the other diagonal AC = - 1 / (sqrt2 - 1)
Product of the slopes = - 1 / ( sqrt2 + 1)(sqrt2 - 1) = -1 / 1 = -1
This proves that the diagonals are perpendicular.
Robin has been working out five days a week for the past six months she is now planning to take a month long break from the gym which training principle should robin consider before taking this break
Answer:
segment IG ≅ segment LJ
Step-by-step explanation:
Please refer to the attached image as per the triangles as given in the question statement.



Given that:
and

<em>SAS congruence </em>between two triangles states that two triangles are congruent if two corresponding sides and the angle between the two sides are congruent.
We are given that one angle and one sides are congruent in the given triangles.
We need to prove that other sides that makes this angle are also congruent.
To show the triangles are congruent i.e.
by SAS congruence we need to prove that
segment IG ≅ segment LJ
Let us use Distance formula to find IG and LJ:



Hence, segment IG ≅ segment LJ
ΔGHI ≅ ΔJKL by SAS