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nika2105 [10]
4 years ago
8

Examine the diagram.

Mathematics
2 answers:
aniked [119]4 years ago
8 0

An outside angle of a triangle is equal to the sum of the two opposite inside angles.

Using the information in the picture, 132 is an outside angle and x and (3x-24) are the two opposite inside angles.

Setting up the equation you would have: 132 = x + (3x-24)

Now solve for x:

132 = x + (3x-24)

Simplify:

132 = 4x -24

Add 24 to both sides:

156 = 4x

Divide both sides by 4:

x = 156/4

x = 39

Deffense [45]4 years ago
4 0

Answer:

answers to both questions

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Identify the indicated sum for the geometric series.<br> S7 for 162 − 54 + 18 − 6 + .....
Ulleksa [173]

The indicated sum for the geometric series is 121.5

<h3>How to identify the indicated sum for the geometric series?</h3>

The series is given as:

162 − 54 + 18 − 6 + .....

Start by calculating the common ratio of the geometric series.

This is calculated using

r = -54/162

Evaluate

r = -1/3

The indicated sum for the geometric series is then calculated as:

S = a(1 - r^n)/1 - r

Substitute the known values in the above equation

S = 162(1 - (-1/3)^7)/1 + 1/3

Evaluate the exponent and the sum

S = 162(1 + 1/2187)/4/3

Evaluate the sum

S = 162(2188/2187)/4/3

Express as products

S = 162 * (2188/2187)* 3/4

Evaluate the product

S = 162 * 547/729

Evaluate the product

S = 121.5

Hence, the indicated sum for the geometric series is 121.5

Read more about geometric series at

brainly.com/question/24643676

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2 years ago
A parallelogram has sides of length 4 m, 3 m, and 4 m. What is the length of the fourth side of the parallelogram?
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3m

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There is a 3 out of 20 chance that you can win a game. How many "wins" would you predict if you played the game 50 times?
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Answer:

7.5

Step-by-step explanation:

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Predicted Number of winnings if game is played 50 times ;

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Predicted Number of winnings = 7.5

8 0
3 years ago
Can someone please help me? :)
olga nikolaevna [1]

The size of a crowd standing along with a 1/4 mile section of a parade route: 5280 people

<h3>Further explanation </h3>

Comparison is an effort to compare two or more objects in terms of shape or size, or number

Proportional Comparisons are comparisons of two or more numbers where one number increases, the other numbers also increase

Can be formulated

\frac{x1}{y1}=\frac{x2}{y2}

so that if:

x = 2

then

y=\frac{y}{x}\times\:2

While the reversal value comparison is the comparison of two or more numbers where one number increases, the other number decreases in value

Can be formulated

\frac{x1}{y2}=\frac{x2}{y1}

so that if:

x = 2

then

y=\frac{x}{y}\times\:2

The size of a crowd who can see the parade can be calculated using the principle of proportional comparison

  • 1. We calculate the ratio of people and areas that can be occupied

The question stated that 10 people occupy a square measuring 5 feet by 5 feet

means the area occupied by 10 people = 5 ft x 5 ft = 25 ft²

so the ratio is :

\frac{10}{25}

  • 2. We calculate the area of ​​the road that can be occupied when viewing the parade

Because there are 1/4 mile section of a parade route and 5 feet deep on both sides of the street, the total area

1 mile = 5280 ft

1/4 mile = 1320 ft

Total area = 1320 ft x 5 ft (deep) x 2 (both sides of the street) = 13200 ft²

Then the comparison of points 1 and 2 can be used to calculate the total number of people who saw the parade

\frac{10\:people}{25\:ft^2\:area}=\frac{total\:people\:watched}{13200\:ft^2\:total\:area}

Total people =

\frac{10\:\times\:13200}{25}

Total people = 5280 (C)

<h3>Learn more </h3>

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percent of 19.5 is 70.59

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The average weight of the top 5 fish

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Keywords: parade, street, area, crowd, comparison

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3 years ago
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