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liq [111]
3 years ago
6

The question is in the figure below.

Mathematics
1 answer:
Alex777 [14]3 years ago
4 0
If a ║ b then m<3 + m<6 = 180 (same-sided interior angles)
so
2x + 15 + 3x + 10 = 180
5x + 25 = 180
5x = 155
  x = 31

Answer
x = 31 makes a ║ b

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A plane flight to Washington D.C costs $200 give or take $50. A plane flight to China costs $1,250 give or take $50. Which plane
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A fixed amount ($50) is always a larger fraction of a smaller number. It is a larger fraction of $200 than of $1250. The plane flight to Washington DC is affected relatively more by a variation of $50.

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A price change of $50 on a base price of $200 is a percentage change of 25%.   50/200 × 100% = 25%

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Read 2 more answers
Researchers at a lake have determined that the percentage of fish in the lake that are intolerant to pollution can be estimated
dusya [7]

Answer:

a. 23.02 %

b. 49%

c. W

Step-by-step explanation:

Solution:-

- A multi-variable function for the percentage of fish in the lake that are intolerant to the pollution is given as:

                     P ( W , R , A ) = 49 - 1.61W - 1.41R - 1.38A

Where,

             W: percentage of wetland

             R: percentage of residential area

             A: percentage of agriculture

- We are to evaluate the percentage of fish intolerant to pollution in the case where W = 3 , R = 15 , A = 0. We will plug in the values in the modeled function P ( W , R , A ) as follows:

                     P ( 3 , 15 , 0 ) = 49 - 1.61*3 - 1.41*15 -1.38*0\\\\P ( 3 , 15 , 0 ) = 23.02\\

- To determine the maximum percentage of fish that will be intolerant to pollution we will employ the use of critical points. The critical point that is defined by the linear relationship between P and all other parameters ( W, R , A ). The maximum value occurs when W = R = A = 0.

                   P ( 0 , 0 , 0 ) = 49 - 1.61*0 -1.41*0 - 1.38*0 = 49

- Hence, the maximum value of the function is 49%.

- The linear relationship between each induvidual parameter ( R, W , A ) and the function ( P ) is proportional in influence. The extent of influence can be quantized by the constant multiplied by each parameter.

- We see that that ( 1.61*W ) > ( 1.41R ) > ( 1.38A ). The greatest influence is by parameter ( W ) i.e the influence of percentage of wetlands .

                   

6 0
3 years ago
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