Answer:
Attachment is correct graph.
Step-by-step explanation:
We are given a equation of line y=|x|
It is absolute function which gives always positive value.
It's vertex at (0,0). This function will break at (0,0)
It is linear equality.
So, function is break at point x=0
Now we make tale of x and y
x y
-3 3
-2 2
-1 1
0 0
1 1
2 2
3 3
Now we plot the point on graph and join the points to get graph.
Please see the attachment for correct graph.
Set up a proportion
3 coins:8 notes and then the other one 24 coins : x (unknown notes)
they have a relationship so we can set them equal to each other.
3/8=24/x cross multiply: 8 * 24 = 192
Now divide that by 3: 192/3 = 64
So there are 64 notes in the bag
Answer:
Explanation:
AB = BC
=> Triangle ABC is an Isosceles Triangle
Thus, Angle C = Angle A
DE = BE
=> Triangle DEB is an Isosceles Triangle
Thus, Angle D = Angle B
Proof that triangle ABC and DEB are similar:
Angle DBE = Angle A (corresponding angle)
Angle BDE = Angle C (Both Triangle are Isosceles, if one pair of the angle are equal then the other pair should also be equal)
=> Triangle ABC ~ Triangle DEB (AA)
Therefore, Angle E = Angle B
Find angle B:
Angle C + Angle A + Angle B = 180
40 + 40 + angle B = 180
Angle B = 180 - 80
Angle B = 100 degree
But Angle B = Angle E = 100 degree
Therefore, Angle E = 100 degree
i hope this helps you......
Answer:
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Step-by-step explanation:
