Answer:
19
Step-by-step explanation:
if the triangles are similar then EG/BC = FG/BD
51/(x+4) = 57/(2x-7) cross multiply expressions
102x - 357 = 57x + 228
102x - 57x = 228 + 357
45x = 585 divide both sides by 45
x = 13
BD = 2x -7 and 13×2 - 7 = 19
Answer:
There are a total of
functions.
Step-by-step explanation:
In order to define an injective monotone function from [3] to [6] we need to select 3 different values fromm {1,2,3,4,5,6} and assign the smallest one of them to 1, asign the intermediate value to 2 and the largest value to 3. That way the function is monotone and it satisfies what the problem asks.
The total way of selecting injective monotone functions is, therefore, the total amount of ways to pick 3 elements from a set of 6. That number is the combinatorial number of 6 with 3, in other words
17.5 = x
Step-by-step explanation:
1st you add 85 and 55 since those to angles are congruent (means similar) to 8x
2nd you get 140 after adding then
3rd since the angles are congruent you just divide the 140 by 8 to get the value of x
Answer:
12 yd.
Step-by-step explanation:
Answer:
The height of the roof in his house is 72.43 ft.
Step-by-step explanation:
The volume of square pyramid is :

B= area of the base.
h= the height.
Given that,
The roof is a square pyramid in shape. The volume of the roof is 18929.333 cubic feet.
The side length of the base of the roof is 28 feet.
Since the base of the roof is square in shape.
The area of the square is = side²
The area of the base is =(28×28) square feet
=784 square feet
Assume the height of the roof be h ft.
Then, the volume of the roof is = 
square feet.
According to the problem,


ft.
The height of the roof in his roof is 72.43 ft.