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2 years ago

If shown,

Mathematics

1 answer:

Naily [24]2 years ago

4 0

Answer:

x=60

Step-by-step explanation:

here DOB and AOC are vertically opposite angles and the values of them are equal. so lets take the two angles as y.

x+DOB is 90(because EOA is 90 and the sum of angles in a straight line is 180), DOB is y and can write a equation as x+y=90

and 30+2x+y = 180 ,

2x+y=150, (180-30)

then two equations can be made.

x+y=90

2x+y=150

simplifying these two simultaneous equations

can get x as 60. and 2x is 120.

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22. If 1 m,m/19 - 118°, and m/16 - 48°, calculate m/12.

Ulleksa [173]

Answer: Option 4

Step-by-step explanation:

$m\angle 20=62^{\circ}$ (linear pair)

$m\angle 11=70^{\circ}$ (angle sum in a triangle)

$m\angle 12=110^{\circ}$ (linear pair)

4 0

1 year ago

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%.

Step-by-step explanation:

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 $\frac{11x}{10}$ .

A.

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%.

B.

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%.

C.

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

Can someone help me?

qaws [65]

Answer:

Your answer is C. 1/2 (16*6) = 48 square feet

Step-by-step explanation:

The formula to find the area of a triangle is A = b*h/2 (base times height divided by half)

First you need to multiply the base (6) by the height (16).

6*16 is 96.

Now you divide 96 by 2 or cut it in half.