Answer:
both are equal
Step-by-step explanation:
there are two side tails and heads so there a 1/2 chance it will land on heads
<u>Let's solve this problem step-by-step</u>
<u>Let's set</u>:
2x + 6y = 36 -- equation 1
x + 4y = 20 -- equation 2
(equation 2) * 2
2x + 8y = 40 -- equation 3
(equation 3) - (equation 1)
2y = 4
y = 2 -- equation 4
Plug (equation 4)'s value of y into (equation 2)
x + 4(2) = 20
x = 20 - 8
x = 12
<u>Thus x = 12 and y = 2</u>
<u>Let's check, by substituting these values</u>

<u>Answer: x = 12 and y = 2</u>
Hope that helps!
Answer:
16 feet
Step-by-step explanation:
The length of the ladder=20 feet
Distance from the base of the ladder to the house = 12 feet
You will notice that a wall is vertical and the ladder makes an angle with the horizontal ground(making it the hypotenuse). This is a right triangle problem.
To find the how far up the house can the ladder can reach, we simply find the third side of the right triangle.
From Pythagoras theorem

The third side of the right triangle is 16. Therefore the ladder leans 16 feet from the ground.
Answer:
Given equation: 
when we complete the square , we take half of the value of 8 , then square it, and added to the left sides, we get;

∵8 is the value 
Notice that, we add this both sides so that it maintains the equality.
then;

[
]
Simplify:

The number must be added to complete the square is, 