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3 years ago

Q. Find the sum of interior angle of the given polygon. Work out the measure of the missing angle. *

Mathematics

1 answer:

SpyIntel [72]3 years ago

4 0

Step-by-step explanation:

Number of sides of the given polygon, n =5

Sum of interior angles =( n-2)180°

=( 5 - 2)180°

= 3*180°

= 540°

Missing angle, x = 540°- (100°+105°+110°+145°)

= 540°- 460°

= 80°

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Mr. Jamison deposited $100 into a new savings account on January 1. On the first day of each month thereafter, he deposited thre

Lera25 [3.4K]

Answer:

$36 400

Step-by-step explanation:

Step 1

The first step is to figure out how much money is saved at the end of each month for the period from January 1 to June 15. The amount deposited at the end of each month is obtained by multiplying the amount from the previous month by 3.

The amount deposited in January is $\$100.$

The amount deposited in February is $1\$00\times 3= \$300.$

The amount deposited in March is $\$300\times 3= \$900.$

The amount deposited in April is $\$900\times 3= \$2\700.$

The amount deposited in May is $\$2\,700\times 3= \$8\,100.$

The amount deposited in June is $\$8\,100\times 3= \$24\,300.$

Step 2

The next step is to add up all the money that was deposited into the account. This calculation is shown below,

$\$100+\$300+900+\$\$2\,700+\$8\,100+\$24\,000=\$36\,400$

5 0

3 years ago

Read 2 more answers

John typed a 48 word paragraph in 2/3 minute. What is the typing speed in words per minute

serg [7]

Answer: The answer is: " 72 words per minute. "

___________________________

Step-by-step explanation:

___________________________

This is a "unit rate" problem.

We want to solve for/ find the number of words PER single minute.

___________________________

Given 48 words per (2/3) minute;

How many words per (one) minute?

__________________________

The answer is {48 ÷ (2/3) } words per minute:

Note: dividing by a number is the same as multiplying by the reciprocal (inverse) of that particular number:

Hence:

__________________________

The answer is {48 * (3/2) } words per minute:

__________________________

Write as:

" $\frac{48}{1} *\frac{3}{2}$ " ;

__________________________

The "48" can be changed to "24" ; and the "2" can be changed to "1" ;

→ {Since: "48 ÷ 2 = 24 "} ;

___________________________

And we have:

___________________________

" $\frac{24}{1} *\frac{3}{1} = 24 * 3 = 72$ " ;

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The answer is: " 72 words per minute ."

___________________________

Hope this is helpful to you!

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3 years ago

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Using partial quotients 5,166 divide by 42

Y_Kistochka [10]

Answer: 123

Step-by-step explanation:

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3 years ago

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What two numbers are located 1/2 of a unit from 1/6 on a number line?

ella [17]

Answer:

2/3 and -1/3

Step-by-step explanation:

We have to find which two numbers on the number line are at a distance of 1/2 from 1/6.

The two numbers that are 1/2 units away from 1/6 will be:

1) $\frac{1}{6}+\frac{1}{2}\\\\ =\frac{1}{6}+\frac{3}{6}\\\\ =\frac{4}{6}\\\\=\frac{2}{3}$

2) $\frac{1}{6}-\frac{1}{2}\\\\ =\frac{1}{6}-\frac{3}{6}\\\\ =\frac{-2}{6}\\\\ =\frac{-1}{3}$

Thus the two numbers are: 2/3 and -1/3

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3 years ago

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Edwin runs two laps in 12 minutes.

blagie [28]

Answer:6 minutes a lap

for 3 laps = 18

Step-by-step explanation:

12/2 = 6

6 times 3 = 18

8 0

3 years ago

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