The two triangles we can see in the diagram are similar, which means that their measurements are proportional. Line MN on the larger triangle MNP is 71.5ft long, and its corresponding line, MA, on the smaller triangle is 71.5-22= 49.5ft long. This means that the scale factor from the bigger to the smaller triangle is 71.5/49.5=13/9.
If line MP on the bigger rectangle is 97.5ft long, then its corresponding line, MB, must be 97.5÷13/9=67.5 ft long.
Therefore, x=67.5 ft
3,3,2 or 5,5,3 Basically just 2 same numbers for the 2 sides of the triangle and 1 other number for the base
Answer:
11
Step-by-step explanation:
it says 11
First, look at the x axis (this is the one labeled Minutes Used per month)
Find the number 40, then look at where the lines meet on that line. The red line for Plan B it’s at 8 dollars. The blue line for Plan A is at 4 dollars.
Plan B costs more.
To find the difference, subtract 4 from 8.
$8 - $4 = $4
Plan B costs 4 dollars more than Plan A.
If you have any further questions feel free to ask.
Hope this helps.
Step-by-step explanation:
The quadratic equation is x² + (p - 5)x + 2q = 0.
By Vieta's Formula,
we have SOR = -b/a and POR = c/a.
=> (-3) + (6) = -(p - 5) and (-3)(6) = 2q.
=> 3 = 5 - p and -18 = 2q
Hence, p = 2 and q = -9.
Alternate Method:
We have (x + 3) and (x - 6) as factors of the quadratic equation x² + (p - 5)x + 2q = 0.
=> (x + 3)(x - 6) = x² - 3x - 18.
By Comparing Coefficients,
(p - 5) = -3 and 2q = 18.
Hence p = 2 and q = -9.
