Answer:
506.5
Step-by-step explanation:
The measure of ∠E will be equal to 38°.
Given,
m∠BFE = 118° and m∠C = 86°
And BF bisects ∠ABD
From the Property of Linear Pair,
∠AFB + ∠BFE = 180°
=> ∠AFB + 118° = 180°
=> ∠AFB = 62°
Now, we can see that ∠AFB and ∠FBD are equal because they are alternate angles.
And ∠FBD and ∠ABF are equal because BF bisects ∠ABD.
So, In ∆ABF,
∠AFB + ∠ABF + ∠BAF = 180° (because of the angle sum property of a triangle)
=>62° + 62° + ∠BAF = 180°
=>∠BAF = 180° - 124°
=> ∠BAF = 56°
Similarly, in ∆ABE,
∠A +∠C +∠E = 180°
=> 56° + 86° + ∠E = 180°
=> ∠E = 38°
Therefore, m∠E = 38°.
Learn more about Angles of Triangle at
brainly.com/question/28736528
Answer:
3/6 and 1/2
Step-by-step explanation:
The sides of the rectangla are its length and width. We know the length is 5m longer than the width. Since we dont know the width, we can say that the width is x and the length is x+5.
The perimeter, as we know, is equal to the sum of all sides. We have two “length” sides and two “width” sides, so our equation is:
x + x + x+5 + x+5 = 46
Lets add all of this:
4x + 10 = 46
4x = 46-10
4x = 36
x = 36/4
x = 9
So our width is 9m and the length is 14m.
The area of a rectangle is width times length, so:
9*14=126m^2.
Answer:
Step-by-step explanation:
A librarian choose seven holiday books from a selection of ten to be displayed in the window of the library. in how many different ways can she chose seven books?
This is a combination of 10 objects chosen 7 at a time:
