Answer:
ASA postulate of congruency
Step-by-step explanation:
Here Given AE=ED and ∠BAE=∠CDE
Also if we clearly observe ∠AEB=∠CED
By ASA postulate those two triangles are congruent.
The ASA (Angle,Side,Angle) postulate states that if two triangles with two angles and the included angle are equal then the two triangles are congruent.
Answer:
The rule is: y = -10x+85
Step-by-step explanation:
The rule is given by:

Here m is the gradient and b is the y-intercept.
We have to take two pairs of input-output to find the rule
Let the two pairs be:
(x1,y1) = (1,75)
(x2,y2) = (2,65)
Slope is found using the formula:

Putting the values

Putting the value of slope

Putting a pair of input-output in the equation (1,75)

Putting the value of b

Hence,
The rule is: y = -10x+85
Answer:
31 = 2⁵ -1
31 = 16²- 15²
Step-by-step explanation:
As we know that
2¹=2
2²= 4
2³= 8
2⁴= 16
2⁵=32
So
32 = 2⁵
By subtracting 1 in bot sides
32-1 = 2⁵ -1
31 = 2⁵ -1
So
2⁵ -1 = 31
By comparing with

p= 5
As we know that
15²= 225
16² = 256
16²- 15² = 256-225 = 31
16²- 15² = (16+15)(16-15)
31 = (16+15)(16-15)