Answer: 0.1
Step-by-step explanation:
Given
Bag-I has 2 blue,3 orange, 5 red
Bag-II has 4 Pink,10 blue, 6 brown
No of ways of choosing a blue marble from bag-I
Total no of ways of choosing a marble from bag-I
No of ways of choosing a blue marble from bag-II
Total no of ways of choosing a marble from bag-II
The probability that he will pull out a blue marble from each bag is
Answer: △DEF is congruent to △D'E'F' because you can map △DEF to △D'E'F' using a reflection across the x-axis, which is a rigid motion.
Explanation:
1) Reflections, rotations and translations are rigid transformations, because they do not modify the lengths of the segments nor the angles, so the images and the preimages are congruents.
2) Let's see what transformation map △DEF is to △D'E'F' by analyzing the vertices of preimage and image:
Preimage Image
D (-3, -1) D' (-3, 1)
E (2, -4) E' (2, 4)
F (4, -4) F' (4, 4)
As you see when the image is formed, the coordinate x of the image is kept, and the coordinate y is negated. This rule is (x, y) → (x, - y), which is the rigid transformation reflection across the x-axis.
So you know that angle I is verticle angles to the 60 degrees angle
And you known that the verticloe angle to 20 is an important part
Then you use the sum of interior angles formula
which is all the angles in the triangle should add up to 180
20 + 60 + m< HEI = 180
80 + m< HEI = 180
-80 -80
m< HEI = 100
I believe the measure of the angle is 100, I hope it makes sense too!