We are able to set 4x+32 equal to 6x-8 because these are congruent vertical angles
4x+32=6x-8
4x+40=6x (add 8 to both sides)
40=2x (subtract 4x from both sides)
X=20 (divide both sides by 2)
Then we plug in 20 for x into 6x-8 to find the answer
6(20)-8
=120-8
=112
Hope this helps!
Answer:
x= 7
Step-by-step explanation:
It's a 45 45 90 triangle
The legs are = x while the hypotenuse is x
.
Therefore the answer is 7
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➷ 3x + 1 = 511
Subtract 1 from both sides:
3x = 510
Divide both sides by 3:
x = 170
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Answer:
a) see below
b) 40x20 meters
Step-by-step explanation:
Write down what you know:
- The area of the enclosure is length*width, so

- The length of the fencing is 80 meters, so

Now we have to combine these two equations above, and get rid of y in the process.
First rewrite the second as:

Then substitute for y in the first:

b) To maximize A, find the zero of the first derivative:

So y = (80-40)/2 = 20 meters.
Answer: (
x
,
−
x/
3
−
5
/3
)
Step-by-step explanation: