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diamong [38]
2 years ago
10

Find the measure of x.

Mathematics
2 answers:
wel2 years ago
4 0

Answer:

x = 2

Step-by-step explanation:

See the given figure attached.

Given that RQ and ST are parallel and angle PRQ is equal to 120°.

Now. ∠ PRQ and ∠ QRS are supplementary.  

Hence, ∠ QRS = 180° - 120° = 60°

Again, as RQ ║ ST so, ∠ QRS = ∠ UST {Corresponding angles}

So, ∠ UST = 60°.

Now, given that 15(x + 2) = ∠ UST = 60°

⇒ x + 2 = 4

⇒ x = 2 (Answer)

MrMuchimi2 years ago
3 0

Answer:

The correct answer is x=6

Step-by-step explanation:

Line segment PU=180

angle PRQ=120

angle UST= 15(x+2)

Therefore:

120+15(x+2)=180

120+15x+30=180

150+15x=180

15x=30

15x/15=30/15

x=2

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In which year will 67% of babies be born out of wedlock?
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Based on the trend of the increase in children born out of wedlock, if this trend keeps increasing, the year with 67% of babies born out of wedlock will be 2055 .

<h3>What year will 67% of babies be born to unmarried parents?</h3><h3 />

In 1990, the 28% of children were born out of wedlock and this trend was increasing by 0.6% per year.

If the trend continues, the number of years till 67% of children born out of wedlock will be:

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According to the National Center for Health Statistics, in 1990, 28% of babies in the United States were born to parents who were not married. Throughout the 1990s, this percentage increased by approximately 0.6 per year.

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3 years ago
Alexia took out a 12-year loan for $72000 to renovate her home. If her monthly payments are $680, what is the interest rate?
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