Answer:
L=29ft
W=15ft
Step-by-step explanation:
Step one:
given
let the width be x
W=x
L= x+14
P= 88ft
perimeter= 2L+2W
so, substituting our data we have
88=2(x+14)+2x
88=2x+28+2x
collect like terms
88=4x+28
88-28=4x
60=4x
divide both sides by 4
x=60/4
x=15
Step two:
the dimensions are
the width is 15ft
the length= 15+14
L=29ft
Answer:
one solution
Step-by-step explanation:
y=-3x+5
y=1/2x-2
You can tell straight off the bat, it does have a solution, and it isn't infinite solutions. If it had no solution, it would have the same slope but different y-intercepts. If it had infinite solutions, the 2 equations would have to be the exact same. So there is only one solution.
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hope it helps
X=22. The supplementary angle is 90°, so the 66° angle, plus (x+2) has to add up to 90° too.
Answer:
Part 5) The length of the ski lift is 
Part 6) The height of the tree is 18.12 m
Step-by-step explanation:
Part 5)
Let
A -----> Beginning of the ski lift
B -----> Top of the mountain
C -----> Base of mountain
we have


----> by supplementary angles
Find the measure of angle B
Remember that the sum of the interior angles must be equal to 180 degrees

substitute

Applying the law of sines

substitute



Par 6)
see the attached figure with letters to better understand the problem
<u><em>Applying the law of sines in the right triangle BDC</em></u>
In the right triangle BDC 20 degrees is the complement of 70 degrees

-----> equation A
<u><em>Applying the law of sines in the right triangle ABC</em></u>
In the right triangle ABC 50 degrees is the complement of 40 degrees

-----> equation B
Equate equation A and equation B and solve for x

<u><em>Find the value of BC</em></u>


therefore
The height of the tree is 18.12 m