Answer:
Step-by-step explanation:
to solve this problem we can use the Pythagorean theorem
UT and TL are the legs, while LU is the hypotenuse
We have to find LU so we can proceed like this
x^2 + (x+1)^2 = LU^2
x^2 + x^2 + 1 + 2x = LU^2
2x^2 + 2x + 1 = LU^2
LU = +/- 
we have to take only the positive value because a length can’t be negative.
2x^2 + 2x + 1 is positive for every value of x, so the final answer is

<span>4(2x - 5) = 4
8x - 20 = 4
8x = 4 + 20
8x = 24
x = </span>

x = 3
Part A:This equation has only one solution. {Working shown above}
Part B:The solution is x = 3. {Working shown above}
Answer:
$13.
Step-by-step explanation:
Let x represent money that Alison has.
We have been given that Leo has 7 times as much money as Alison had. So the amount of money that Leo has, would be
.
We are also told that Leo had $91, so we will equate
with 91 and solve for x as:

To solve for x, we will divide both sides by 7:


Therefore, Alison has $13.
Answer:
%60.66666...
Step-by-step explanation:
<u>Step 1: Make an equation to represent</u>
Percent change of the numbers six and four
6x = 4
<u>Step 2: Divide both sides to get a decimal</u>
6x / 6 = 4 / 6
x = 0.6666....
<u>Step 3: Convert into a percentage</u>
x = 0.6666.... * 100
x = %60.66666...
Answer: %60.66666...
<u>If you meant the other way:</u>
4x = 6
4x / 4 = 6 / 4
x = 1.5
x = 1.5 * 100
x = %150