Answer:
x = 9; y = 12; u = 24; v = 32
Step-by-step explanation:
The corresponding sides of similar triangles are in the same ratio to each other.
3/5 = (3 + x)/20 Multiply each side by 20
20×3/5 = 3 + x
12 = 3 + x Subtract 3 from each side
x = 9
=====
4/5 = (4 + y)/20 Multiply each side by 20
20×4/5 = 4 + y
16 = 4 + y Subtract 4 from each side
y = 12
=====
3/5 = (3 + x + u)/60 Multiply each side by 60
60×3/5 = 3 + x + u
36 = 3 + x + u Insert the value of x
36 = 3 + 9 + u
36 = 12 + u Subtract 12 from each side
u = 24
=====
4/5 = (4 + y + v)/60 Multiply each side by 60
60×4/5 = 4 + y + v
48 = 4 + y + v Insert the value of y
48 = 4 + 12 + v
48 = 16 + v Subtract 16 from each side
v = 32
x = 9; y = 12; u = 24; v = 32
Answer:
Step-by-step explanation:
Given Ben's observations when the wait time is as advertised represented by the equation 2|x − 2| − 12 = 0, to get the times when the serving time is as advertised, relative to noon, we will calculate for the value of x in the equation;
Note that the modulus of the function |x-2| will return both positive and negative value.
For the positive value of |x-2|;
2|x − 2| − 12 = 0
2(x − 2) − 12 = 0
open the parenthesis
2x-4 - 12 = 0
2x - 16 = 0
add 16 to both sides
2x-16+16 = 0+16
2x = 16
x = 16/2
x = 8
For the negative value of |x-2|;
2|x − 2| − 12 = 0
-2(x − 2) − 12 = 0
open the parenthesis
-2x+4 - 12 = 0
-2x - 8 = 0
add 8 to both sides
-2x-8+8 = 0+8
-2x = 8
x = -8/2
x = -4
<em>Hence the times when the serving time is as advertised, relative to noon are 8minutes and 4minutes </em>
Answer:
Shrek
Step-by-step explanation:
Shrek is the answer to everything. Through every movie, different problems including magical and INTERDIMENSIONAL are thrown at him, and he still saves the day. Therefore, shrek is the answer.
Answer:
7.18 light-years
Step-by-step explanation:
6.8 x 10^13 = 68,000,000,000,000
9.46 x10 ^12 = 9,460,000,000,000
6.8 x 10^13 * 1 light year / 9.46 x 10^12 = 7.188 light years.
Have a Merry X-MAS Plz MArk Branilest
