Step-by-step explanation:
AC = AB + BC
25x - 19 = 9x + 7 + 5x + 7
25x - 19 = 14x + 14
25x - 14x = 14 + 19
11x = 33
x = 33/11
x = 3
AB = 9x + 7
= 9(3) + 7
= 27 + 7
= 34
The kite is symmetric about line segment BD.
Therefore
AB = BC
3x + 1 = 22
3x = 22 - 1 = 21
x = 21/3 = 7
Similarly,
AD = CD by symmetry
Therefore
4x = CD
4*7 = CD
28 = CD, the required line segment
Answer: 28
I'm going to assume that the room is a rectangle.
The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle.
You're given that the length, l = (x+5)ft and the width, w = (x+4)ft. You're also told that the area, A = 600 sq. ft. Plug these values into the equation for the area of a rectangle and FOIL to multiply the two factors:

Now subtract 600 from both sides to get a quadratic equation that's equal to zero. That way you can factor the quadratic to find the roots/solutions of your equation. One of the solutions is the value of x that you would use to find the dimensions of the room:

Now you know that x could be -29 or 20. For dimensions, the value of x must give you a positive value for length and width. That means x can only be 20. Plugging x=20 into your equations for the length and width, you get:
Length = x + 5 = 20 + 5 = 25 ft.
Width = x + 4 = 20 + 4 = 24 ft.
The dimensions of your room are 25ft (length) by 24ft (width).
Answer:
1:12
2:-32
3: -35
4: -10
5: 24
6: 90
7: 41. I used the properties of multiplication to find the product by multiplying 41•1=41 and the 2 negatives cancel each other out.
8: the product is -80. What she could've done is forgot to add the negative sign.
Step-by-step explanation:
Answer = 8y
Step-by-step explanation:
if an octagon has 8 sides and each side is = to y then the total side length in the primiter is = to 8sides times y or 8y