Solution:
<u>Note that:</u>
- AB = EF
- BC = EG = 6x - 8
- 7x - 19 = 2x + 11
- Perimeter of triangle: 24 + 2x + 11 + 6x - 8
<u>Solving for x:</u>
- 7x - 19 = 2x + 11
- => 7x - 2x = 19 + 11
- => 5x = 30
- => x = 30/5 = 6
<u>Substitute the value of x into the expression (24 + 2x + 11 + 6x - 8): </u>
- 24 + 2x + 11 + 6x - 8
- => 24 + 2(6) + 11 + 6(6) - 8
- => 24 + 12 + 11 + 36 - 8
- => 24 + 12 + 3 + 36
- => 75 units
The perimeter of the triangle ABC is 75 units.
1 lemon to 2 waters will be proportional to what he Brandon needs so:
1 lemon / 2 water = x lemon / 12 water
Multiply by 12
And you get (1/2)*12 which is 6=x lemons
He needs 6 cups of lemons
Answer:
In order to ride on the ride an individual must be at least 4 feet tall.
This means that the individual must be equal to 4 ¾ feet tall.
h = 4 ⅓
and the individual could be greater than 4¾ feet tall.
h > 4 ¾
So the individual could be greater than and equal to 4¾ feet tall.
h ≥ 4¾
Answer:
Statement 3
Step-by-step explanation:
<u>Statement 1:</u> For any positive integer n, the square root of n is irrational.
Suppose n = 25 (25 is positive integer), then
Since 5 is rational number, this statement is false.
<u>Statement 2:</u> If n is a positive integer, the square root of n is rational.
Suppose n = 8 (8 is positive integer), then
Since 
is irrational number, this statement is false.
<u>Statement 3:</u> If n is a positive integer, the square root of n is rational if and only if n is a perfect square.
If n is a positive integer and square root of n is rational, then n is a perfect square.
If n is a positive integer and n is a perfect square, then square root of n is a rational number.
This statement is true.
