9514 1404 393
Answer:
x = 8
Step-by-step explanation:
The marked angles are <em>alternate interior angles</em>, so are congruent.
8x -4 = 60
8x = 64 . . . . . . . . . . add 4 to both sides
x = 64/8 = 8 . . . . . . divide both sides by 8
The value of x is 8.
Answer:
16/3
Step-by-step explanation:
The question is asking us to find the dimensions of the rectangle, which would be the length and width. So, to find this, we must first state our givens, as it is Geometry.
Given: Length of rectangle = 59 + twice the width, diagonal = 2 inches longer than the width
Let's first translate all our givens to numbers. We'll start off by assigning variables that are easy to work with (x, y and z).
x = width
y = length
z = diagonal
Now that we have done that, we need to translate all our givens into numbers. Here is how that would look like:
y = 2x + 59 ←59 plus twice the width (x)
z = y + 2 ←Diagonal = 2 inches more than width
If we draw a diagram, we can see that the diagonal, length, and width all create a right triangle, which means that we can use the Pythagorean Theorem. By using right triangle postulates and theorems, we can deduce that the diagonal is the hypotenuse. Here is what our setup looks like:
x² + y² = z²
<em />Now, all we need to do is plug in the expressions we created for y and z:
x² + (2x + 59)² = [2 + (2x + 59)²]
When we solve for x, we get x = 20. Now, we just plug the x value back into the y equation to get 99. Therefore, the length equals 99 inches and the width equals 20 inches. Hope this helps and have a great day!
As you can see I graphed the Y intercept then used the slope to calculate many other points. This graph mostly takes space in the 3 quadrant.
Given:
6 out of 2000 students quit community college due to serious health issues.
$10,000 insurance company offer
$60 per year
Based on the data, there are 6 students who will be given the $10,000 insurance per year. So they need
6 * 10,000 = $60,000 to make a break-even on their insurance offer
If a student pays $60 per year, they should have
$60,000 / $60 = 1,000 students who will pay per year to reach the break-even mark of their investment. If the number of students will exceed 1,000, the company will begin to earn.