Answer:
The length of XY is either 10 or 2.5.
Step-by-step explanation:
Given information: ZY = 5, XC = 3 and DC = 4.
Case 1: Rectangle ABCD is smaller than ZBXY.
The opposite sides of the rectangle are same.
The length of ABCD is 4 and width of ABCD is 2. The width of ZBXY is 5. The corresponding sides of the similar rectangles are is in the same proportion.
Therefore the value of XY is 10.
Case 2: Rectangle ABCD is larger than ZBXY.
The length of ABCD is 4 and width of ABCD is 8. The width of ZBXY is 5. The corresponding sides of the similar rectangles are is in the same proportion.
Therefore the value of XY is 2.5.
24x + 7=79
subtract 7 from both sides
24x + 7 - 7= 79 - 7
24x= 72
divide both sides by 24
x= 3
CHECK:
24x + 7= 79
24(3) + 7= 79
72 + 7= 79
79= 79
ANSWER: x= 3
Hope this helps! :)
The two numbers are 30 and 11
<em><u>Solution:</u></em>
Given that we have to separate the number 41 into two parts
Let the second number be "x"
<em><u>Given that first number is eight more than twice the second number</u></em>
first number = eight more than twice the second number
first number = 8 + twice the "x"
first number = 8 + 2x
So we can say first number added with second number ends up in 41
first number + second number = 41
8 + 2x + x = 41
8 + 3x = 41
3x = 41 - 8
3x = 33
x = 11
first number = 8 + 2x = 8 + 2(11) = 8 + 22 = 30
Thus the two numbers are 30 and 11
If x is the amount that Tanya paid for each item, then Tony's items would be x-2.25. So:
3x=4(x-2.25)
3x=4x-9
x=9
x-2.25=6.75
Tanya spent $9 on each item; Tony spent $6.75 on each of his items. ☺☺☺☺
For this case what you must do is find the diagonal of the square to find the diameter of the circle and then be able to obtain the radius.
We have then:
A = L ^ 2 = 128
L = root (128)
L = 11.3137085
Then, the diagonal of the square knowing its sides is:
d = root ((L) ^ 2 + (L) ^ 2)
d = root ((11.3137085) ^ 2 + (11.3137085) ^ 2)
d = 16 feet
Finally the radius of the circle is:
r = d / 2
r = (16) / 2
r = 8feet
answer:
the radius of the circle is
r = 8feet
