Answer:
y=3x+10
Step-by-step explanation:
I dont think it is the right form but that Is an equation for it
Recall that the diagonals of a rectangle bisect each other and are congruent, therefore:
![\begin{gathered} FH=2EI, \\ GI=EI. \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20FH%3D2EI%2C%20%5C%5C%20GI%3DEI.%20%5Cend%7Bgathered%7D)
Substituting the given expression for each segment in the first equation, we get:
![3x+6=2(2x-2).](https://tex.z-dn.net/?f=3x%2B6%3D2%282x-2%29.)
Solving the above equation for x, we get:
![\begin{gathered} 3x+6=4x-4, \\ 3x+6+4=4x, \\ 3x+10=4x, \\ 4x-3x=10, \\ x=10. \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%203x%2B6%3D4x-4%2C%20%5C%5C%203x%2B6%2B4%3D4x%2C%20%5C%5C%203x%2B10%3D4x%2C%20%5C%5C%204x-3x%3D10%2C%20%5C%5C%20x%3D10.%20%5Cend%7Bgathered%7D)
Substituting x=10 in the equation for segment EI, we get:
![EI=2*10-2=20-2=18.](https://tex.z-dn.net/?f=EI%3D2%2A10-2%3D20-2%3D18.)
Therefore:
![GI=18.](https://tex.z-dn.net/?f=GI%3D18.)
Now, to determine the measure of angle IEH, we notice that:
![\Delta HFG\cong\Delta GEH,](https://tex.z-dn.net/?f=%5CDelta%20HFG%5Ccong%5CDelta%20GEH%2C)
therefore,
![\measuredangle GHF\cong\measuredangle HGE.](https://tex.z-dn.net/?f=%5Cmeasuredangle%20GHF%5Ccong%5Cmeasuredangle%20HGE.)
Using the facts that the triangles are right triangles and that the interior angles of a triangle add up to 180° we get:
![m\measuredangle IEH=90^{\circ}-35^{\circ}=55^{\circ}.](https://tex.z-dn.net/?f=m%5Cmeasuredangle%20IEH%3D90%5E%7B%5Ccirc%7D-35%5E%7B%5Ccirc%7D%3D55%5E%7B%5Ccirc%7D.)
<h2>Answer: </h2>
Simplifying this, we get:
(x+4)(x-4) = 0
Now, to get 0, we can replace x for one of these things to make 0, so:
x can either be 4, or -4
Answer:
A) The annual multiplier was 1.0339; the annual increase was 0.0339 of the value.
B) 3.39% per year
C) $182,000
Step-by-step explanation:
A) Let's let t represent years since 1987. Then we can fill in the numbers and solve for r.
165000 = 100000(1 +r)^15
1.65^(1/15) = 1 +r . . . . . divide by 100,000; take the 15th root
1.03394855265 -1 = r ≈ 0.0339
The value was multiplied by about 1.0339 each year.
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B) The value increased by about 3.39% per year.
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C) S = $100,000(1.03394855265)^18 ≈ $182,000
Answer:
p - 14.5 = 53
Step-by-step explanation:
The original price is p.
The discounted price is $14.50 less than p, or $14.50 subtracted from p. The discounted price is p - 14.5.
The discounted price is $53
Equation:
p - 14.5 = 53