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PSYCHO15rus [73]
3 years ago
9

Triangle LMN is congruent to triangle HIJ. Angle L measures 35 angle M measures 65 and angle J measures 2x degrees. Find the val

ue of x.
Mathematics
1 answer:
Arturiano [62]3 years ago
4 0
There are 180 degrees in a triangle, so what you want to do from there is make an equation 35 + 65 + 2x = 180 from there add like terms 100 + 2x = 180 then subtract 100 from 180 to get 2x alone 100 - 100 + 2x = 180 - 100
2x = 180 from there divide 2 from 180 and get the answer x = 78 degrees
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Question:

Suppose that the populations of the United States and China both increase by 12 million people in one year. What would be the relative change for each country? Answer to the nearest tenth of a percent (1 decimal place). Make sure that you fill in each answer area before checking "How Did I Do?".

If you assume that the U.S. population is about 300 million, an increase of 12 million would result in a relative change of Number %.

If you assume that China has about 1 billion people, an increase of 12 million would result in a relative change of Number %.

Answer:

The relative change of the United States and China is 4% and 1.2%, respectively.

Step-by-step explanation:

Given

Represent population with p. So, we have:

United States

\triangle p = 12\ million

p_1 =300\ million

China

\triangle p = 12\ million

p_1 =1\ billion

Required

Determine the relative change for each country

Relative change, C is calculated as:

C = \frac{\triangle p}{p} * 100\%

For United States

C = \frac{12\ million}{300\ million} * 100\%

C = \frac{12}{300} * 100\%

C = \frac{12 * 100}{300}\%

C = \frac{1200}{300}\%

C = 4\%

For China

C = \frac{12\ million}{1\ billion} * 100\%

C = \frac{12}{1000} * 100\%

C = \frac{12* 100}{1000} \%

C = \frac{1200}{1000} \%

C = 1.2\%

The relative change of the United States and China is 4% and 1.2%, respectively.

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3 years ago
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