Answer:
Step-by-step explanation:
P(-2,-1) and Q(4,3)
average of x-coordinates = (-2+4)/2 = 1
average of y-coordinates = (-1+3)/2 = 1
midpoint of PQ: (1,1)
distance between midpoint and Q = √((4-1)²+(3-1)²) = √13
(x-1)² + (y-1)² = 13
Answer:
third side = 9
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let the third side be x, then
x² + 40² = 41², that is
x² + 1600 = 1681 ( subtract 1600 from both sides )
x² = 81 ( take the square root of both sides )
x =
= 9
The third side is 9
There are 91 in total. Since there are 21 red cars, it would give you 21/91. Around a 23.07% chance.
Reflection:
Reflection is a type of rigid transformation which requires the turning of an object, shape or figure about a reference point or line. Therefore, the needed additional information is ∠DFE ≅ ∠ DFG.
Reflection implies turning the given triangle DEF about its side DF, so as to produce an image with the same dimensions but different orientation.
The required proof by Side-Angle-Side (SAS) implies that the relations will be in respect of two of its sides and their included angle.
So According to the above statement,
GF ≅ FE (: given)
DF is the common side to triangles DEF and DFG.
DFG is the included side.
Thus ∠DFE ≅ ∠ DFG (Side-Angle-Side postulate, SAS)
Learn more about Reflection on:
brainly.com/question/26494295
#SPJ4