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kirill [66]
3 years ago
10

Math help 20 points

Mathematics
1 answer:
kherson [118]3 years ago
3 0

4)\\\\LM=KN\\\\\text{Therefore we have the equation}\\\\2x-6=x+3\qquad\text{add 6 to both sides}\\\\2x=x+9\qquad\text{subtract x from both sides}\\\\\boxed{x=9}\\\\LM=2x-6\Rightarrow LM=2(9)-6=18-6=12\\\\Answer:\ \boxed{LM=12}

5)\\\\m\angle F+m\angle U=180^o\\\\\text{Therefore we have the equation:}\\\\12x-6+11x+2=180\\\\23x-4=180\qquad\text{add 4 to both sides}\\\\23x=184\qquad\text{divide both sides by 23}\\\\\boxed{x=8}\\\\\angle V\cong\angle F\Rightarrow m\angle V=m\angle F\\\\m\angle V=12x-6\Rightarrow m\angle V=12(8)-6=96-6=90\\\\Answer:\ \boxed{m\angle V=90^o}

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6.
larisa86 [58]

A. Every month Population will increase by a factor of 0.84%.

B.  Every 3 months Population will increase by a factor of 2.5%.

C. Increase in population in every 20 months is 10% + 6.72% = 16.72%.

<u>Step-by-step explanation:</u>

Here, we have  number of employees in a company has been growing exponentially by 10% each year. So , If we have population as x in year 2019 , an increase of 10% in population in 2020 as  x + \frac{x}{100}\times10 which is equivalent to \frac{11x}{10}.

<u>A.</u>

For each month: We have 12 months in a year and so, distributing 10% in 12 months would be like \frac{10}{12}  = 0.84 . ∴ Every month Population will increase by a factor of 0.84%.

<u>B.</u>

In every 3 months: We have , 12 months in a year , in order to check for every 3 months  \frac{12}{3} = 4 and Now, Population increase in every 3 months is \frac{10}{4}  = 2.5.  ∴ Every 3 months Population will increase by a factor of 2.5%.

<u>C.</u>

In every 20 months: We have , 12 months in a year in which increase in population is 10% . Left number of moths for which we have to calculate factor of increase in population is 20-12 = 8. For 1 month , there is 0.84% increase in population ∴ For 8 months , 8 × 0.84 = 6.72 %.

So , increase in population in every 20 months is 10% + 6.72% = 16.72%.

5 0
3 years ago
Help please?<br> Also explain as much as you can
Natalija [7]
X^3 = 16
x^3 = 4^2

x = ∛4^2
x = 4^2/3

answer
B. 4^2/3

------------------
x^5 = 16
x^5 = 2^4
x = 2^4/5

answer
D. x = 2^4/5

5 0
3 years ago
Find the length of side AB.<br>Give your answer to 1 decimal place.​
Luden [163]

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, scalene, equilateral, acute, obtuse and right angled triangle. A right angle triangle is a triangle with one angle being 90°.

Trigonometric ratios is used to show the relationship between the angles and sides of a right angled triangle. Examples are:

sinΘ = opposite/hypotenuse; cosΘ = adjacent/hypotenuse; tanΘ = opposite/adjacent

From the question:

cos(62) = AB/12

AB = 12 * cos(62)

AB = 5.6 cm

4 0
3 years ago
A town’s population is increasing at a constant rate. In 2015 the population was 55,000. By 2021 the population is 86,000. If th
pav-90 [236]

Answer:145,003 59

Step-by-step explanation:

he population 2016, this is more precise, will be 145116 people. If you just rounded the value of X to population growth rate to 1.176, then the population Uh in 2016 is 145,003 59.

3 0
1 year ago
Using just yes or no, can you make more than one triangle when you are given 3 different line segments?
iogann1982 [59]

Answer:

No

Step-by-step explanation:

A triangle is made up of three line segments therefore, it would be impossible to make multiple triangles with only 3 line segments. You could stretch the line segments but they would never make other triangles since each attempt would be missing one line segment. What can be done with these 3 line segments is making more than one type of triangle. For example, we can make acute triangles, an obtuse triangle, right triangles, etc.

5 0
3 years ago
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