Answer:
x=28
Step-by-step explanation:
From the diagram we know that the angle m<3 = m<4 and the angle m<1 = m<2. Also we know that the sum of the four angles must be equal to 360.
Summarizing:
1. m<3 = m<4
2. m<1 = m<2
3. m<1 + m<2 + m<3 + m<4 = 360
Substituting 1 and 2 in equation three we have:
4. 2m<2 + 2m<3 = 360.
Now, we know that m<3 = 3x + 16 and m<2 = x + 84. Substituting in equation 4:
2 ( x + 84) + 2 ( 3x + 16) = 360
Solving for x:
2x + 168 + 6x + 32 = 360
8x = 224
x=28
Answer:
The signed number that indicates how much of the levee will erode during the next decade is:
-30 feet
Step-by-step explanation:
a) Data and Calculations:
Erosion rate of the banks of the levee = 3 feet per year
For 10 years, if nothing is done to correct the problem, the eroded banks will be equal to 10 * 3 = 30 feet
Therefore, the signed erosion in the next decade is -30 feet.
b) The quantity of erosion can be given as the number of years involved without correction, multiplied by the rate of erosion per year. This implies that the quantity of erosion depends on the number of years and the rate of erosion per year.
Answer:
8934 (8933.58542585)
Step-by-step explanation:
8,500 (population currently) * 1.01 (1 percent) ^ 5 (years) = 8933.58542585 ≅ 8934 people.
The Choice D is the best answer by the passage because it most clearly and concisely combines the sentences using the correct punctuation. This choice eliminates unnecessary words, and the commas are placed correctly between the clauses.
According to the statement
we have to find that the out of given options which is correct for replace the words in the passage.
So, For this purpose, we know that the
In the passage ,
Choice A is incorrect because the phrase “the result being that it” is wordy and could be replaced with the single word “which.” Choice B is incorrect because the words “algal blooms cause oxygen depletion” need not be repeated. Choice C is incorrect because there is unnecessary repetition of the words “oxygen depletion” and “algal blooms.”
So, The Choice D is the best answer by the passage because it most clearly and concisely combines the sentences using the correct punctuation. This choice eliminates unnecessary words, and the commas are placed correctly between the clauses.
Learn more about passage here
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