Use the tangent-chord theorem:
The included chord-tangent angle is half the size of the intercepted arc.
The intercepted arc is "c".
The included chord-tangent-angle is the supplement of 110=70 degrees.
Therefore from the tangent-chord theorem, 70 degrees = half the size of arc "c"
=>
arc "c" = 2*intercepted angle = 2*70 degrees = 140 degrees.
So you must set this up as a system of equations
n= noble fir trees
d= douglas fir trees
5n + 3d = $420
12n + 9d = $1,080
To get a positive output you have to multiply the second equation by 3 to be able to be divisable to one another
36n + 18d = 3,240
now divide the equation by 18
2n + d = 180
-2n -2n
d = 180 - 2n
Now put that equation in the first as d ^^^
5n + 3(180 -2n) = 420
5n + 540- 6n = 420
- 540 -540
1n = 120
n = 120
Now put n into the second equation( none changed one) to find d
12(120) + 9d = 3240
1440 + 9d = 3240
-1440 -1440
9d = 1800
÷9 ÷9
d= 200
so the noble is $ 120
and the douglas is $200
Answer:
y<6
Step-by-step explanation:
1
/3
y + 1/4 > 3
/8y
1
/3
y + 1/4 − 3/
8
y >
3/
8
y − 3/
8
y
− 1
/24
y + 1
4 > 0
−1
/24
y + 1
/4 − 1/
4 > 0 − 1
/4
−1
/24
y > −1/
4
Multiply both sides by 24/(-1).
y<6
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The answer i got is 19.4..............