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
Answer:
-7xy+4x^2-8 and y+1-8x^y
Step-by-step explanation:
Answer:what are answer choices
Step-by-step explanation:
Answer:
c. the leading coefficient is 8
Step-by-step explanation:
Answer:
The length is equal to 12 and the width is equal to 6.
Step-by-step explanation:
In order to find the values here, we start by setting the width equal to x. Now knowing this, we know that the length is twice that long. Therefore, the length would be equal to 2x. Now we can use the perimeter formula to solve the equation.
2L + 2W = P
2(2x) + 2(x) = P
4x + 2x = 36
6x = 36
x = 6
Now with the given value for x, we can tell that the width is 6 and then we multiply it by 2 to get the length value (12).
