Answer:
n=17
Step-by-step explanation:
you have to set the two equations equal to each other because its angles are the same. once you do this, its just simple algebra, trying to solve for n. Hope this helps :)
Answer:
Hotdog: $1.50
Hamburger: $3.25
Step-by-step explanation:
<em>You write down the 2 equations based off of the information as I did:</em>
Let x = cost of a hotdog
Let y = cost of a hamburger
<em>and so:</em>
<em />
3x + 2y = 11
2x + 4y = 16
<em />
<em>Now, we need to find x and y:</em>
<em>We will make both equations equal to y to compare them to each other.</em>
2y = 11 - 3x
y = 5.5 - 1.5x
4y = 16 - 2x
y = 4 - 0.5x
4 - 0.5x = 5.5 - 1.5x
x = $1.5
<em>Now plugging in x into the equation:</em>
2(1.5) + 4y = 16
3 + 4y = 16
4y = 13
y = $3.25
And so hotdog = $1.5 and hamburger = $3.25
<em />
<em />
Let's create a simple proportion.
p = Percent
p/100 = 106/438
Now, cross multiply.
438p = 10,600
Divide both sides by 438 to isolate p.
p ≈ 24.200913242
Therefore, 106 is approximately 24.201 percent of 438.
Answer:
x^2-6x+5
Step-by-step explanation:
To have roots at x=5 and x=1 you need to write is as follows
(x-5)(x-1)
you then need to multiply these two and get
x^2-6x+5
Imagine right triangle PHF, where P - park, H - home and F - football field, then PH, PF are legs and HF is hypotenuse . Denote point L to be library. You know that point L lies on the segment FH and FL=8, LH=2. Also you know that PL is an altitude to the hypotenuse.
Use the property of altitude drawn from the vertex of right angle to the hypotenuse (the length of the altitude is geometrical mean between legs' projections onto hypotenuse):
mi.
This means that the distance between park and libriry is 4 miles.
Consider right triangle PLF ( angle L is right angle and PF - hypotenuse). By the Pythagorean theorem,
mi. The distance between park and football field is 
miles.
Answer: the distance between park and libriry is 4 miles and the distance between park and football field is miles.
